Englsih notes

Englsih notes

Literary devices

Foreshadowing

- hints and clues to suggest what will happen later

Flash back

-interjected scene that takes narrative back in time from the current form

Imagery

-is descriptive that evokes sensory experiences it can appeal to any of the 5 senses

conflict-is the challenges faced by the protagonist

Dramatic Irony

-contrast between what the character thinks is true and what the readers know to be true

Verbal irony

-contrast of what is said and what is meant

-Sarcasm

Situational irony

-contrast between what happens and what is expected

Narrative writing

Porpouses - entertain , inform , teach , change social opinion

types

-fairy stories

-mysteries-science fiction

-romance

-horror stories

-adventure stories

-fables

-myths

-legend

-historical narratives

-personal experiences

-ballads

Features

- characters with defines personalities

-dialog verb tenses may change

descriptive language to create images in the readers mind and enhance the story

Structure

-orientation

-complication or problem

-resolution

Focus

-plot

-setting

-characterization

-structure

-theme

Research

is a"careful critical , disciplined inquiry varying in technique according to nature and condition of the problem identified ,the clarification or resolution of a problem

What can not be classified as research

-accumulation of facts

-transfer of information

-comparison and correlation

-overworked topics

-insufficient sources of data

Research is for the:

-solution of a problem

-prediction

-invention

-the expansion or verification

-for presentation and improvement

Purpose of research

-to discover facts about known phenomena

-to find answers to practically solved questions

-to improve existing techniques

-to develop new instruments or products

-to discover previously unrecognized substances

-to order related generalizations

-to provide basis for decision making

-to satisfy researchers curiosity

-to find answers to questions

- to improve educational practices

-to promote health and prolong life

-to provide man with more basic handiwork

-to make work travel and communication faster

Characteristic of a good research

-is systematic- is controlled or empirical

-is analytical-employs hypothesis ,is original work

-is done by expert-is done by observation/investigation

-is patient and unhurried activity

-is objective unbiased and logical

-requires an effort making capacity

-requires courage

classification of action research

-according to research

-predictive directive and illuminative

-according to goal

-basic or pure applied researches

-according to the level of investigation

-explanatory descriptive and experimental

-according to type of analysis

-analytic and holistic approach

classification of action research

-according to scope

-action research

-according to choice of answers

-evaluation and developmental researches

-according to statistical content

-quantitative and non-quantitative researches

-according to time element

-historical descriptive and experimental researches

According to research

-predictive-has purpose of determining the future operation of the variables under investigation with the aim of controlling such better

-Directive- determines what should be done based on the findings

-Illuminative- concerned with the interaction of the components of the variable being investigated

According to goal

-Basic or pure - is done for the development of theories or principles it is conducted for the intellectual pleasure of learning

-applied - the application of the results of the pure research

According to levels of investigation

-Exploratory - researchers studies the relationships of the variables on each other

According to type of analysis

-analytic- researcher attempts to identify and isolate the components of research situation

-holistic- begins with the total situation focus in attention on the system

According to the choice of answers to the problems

-evaluation research-all possible courses of action are specified and identified and researcher tries to find the most advantages

-developmental research-focus on the finding or developing a more suitable instrument or process that has been available

Parts of a research paper

"chapter of problem and its scope"

§ *Introduction

v -rationale

v -theoretical background

§ *the problem

v -statement of the problem

v -statement of assumptions

v -statement of hypothesis

v -significance of the study

§ *research methodology

v -research environment

v -research respondents

v -research instruments

v -research procedures

o Gathering of data

o statistical treatment of data

§ *definition of key terms

§ *organization of the study

1. These are declarative and interrogative sentences that include important aspects of research. = Statement of the Problem
2. A description of the place or locale where the study is conducted. = Research Environment
3. It is composed of discussions of facts and principles to which the present study is related. = Related Literature
4. It contains a description like gender, age and economic status of the subjects or targets = Research Respondents
5. Are studies, inquiries, or investigations already conducted to which the present proposed study is related = Research Respondents
6. They are definitions taken from dictionaries, encyclopedias, magazines and other sources = Conceptual
7. It is an interpretation of the term as it is employed = Operational
8. Brief description of the problem situation and the reason for conducting the study = Rationale
9. A tentative conclusion or answer to a specific question raised at the beginning of the investigation = Statement of Hypothesis
10. Tells about the people, groups, communities who will benefit from the study = Significance of the Study
11. A type of hypothesis which states that there is no difference between two phenomena = Null
12. It is a self-evident truth based upon a known fact or phenomenon = Assumption
13. This part contains an enumeration of all the contents of the research paper. = Organization of the Study
14. This contains alphabetical list of important terms used in the study and their definitions = Definition of Key Terms
15. It illustrates statistical formulae that are used in the study = Distribution of Respondents
16. Describes the tools used in gathering data = Instruments
17. A part of data gathering which includes tallying, analyzing, and interpreting. = Data processing
18. A type of hypothesis which states that there is a difference between two phenomena = Operational
19. It serves as a foundation of the proposed study = Theoretical Background
20. It presents a schematic diagram of the paradigm of the research and discusses the relationship of the elements/variables therein. = Conceptual Framework

Exercise II.

1. This study is anchored on the theory of Clark (2001) which states that film and video are among the historians most effective teaching tools = Theoretical Background
2. Witth all the accounts presented, the researchers conduct this study to identify the effectiveness of film showing as an instructional method of teaching = Significance of the Study
3. This endeavor has 4 chapters. Chapter 1 has five main parts. These are the Problem and Its Scope, Research Methodology, Definition of key terms, and Organization of the study. = Organization of the study
4. Film. An instructional material that presents motion pictures for the students better understanding of lessons = Definition of Key Terms
5. Another method used in this study is percentage which is computed using this formula = Statistical Treatment of Data
6. To gather accurate information, the researchers formulated a survey questionnaire. = Research Instrument
7. After tallying and tabulating the data gathered, the researchers analyzed and interpreted them. = Data Processing
8. This study was answered by 200 HS Students, ages 12-17yrs old. = Research Respondents
9. This study use the descriptive normative method of research in determining valuable information. = Gathering of Data
10. High School Students. This study can develop the students critical thinking. = Significance of the Study

dimensions

Perimeter formula
Square	4 * side
Rectangle	2 * (length + width)
Parallelogram	2 * (side1 + side2)
Triangle	side1 + side2 + side3
Regular n-polygon	n * side
Trapezoid	height * (base1 + base2) / 2
Trapezoid	base1 + base2 + height * [csc(theta1) + csc(theta2)]
Circle	2 * pi * radius
Ellipse	4 * radius1 * E(k,pi/2) E(k,pi/2) is the Complete Elliptic Integral of the Second Kind k = (1/radius1) * sqrt(radius12 - radius22)
Area formula
Square	side2
Rectangle	length * width
Parallelogram	base * height
Triangle	base * height / 2
Regular n-polygon	(1/4) * n * side2 * cot(pi/n)
Trapezoid	height * (base1 + base2) / 2
Circle	pi * radius2
Ellipse	pi * radius1 * radius2
Cube (surface)	6 * side2
Sphere (surface)	4 * pi * radius2
Cylinder (surface of side)	perimeter of circle * height
	2 * pi * radius * height
Cylinder (whole surface)	Areas of top and bottom circles + Area of the side
	2(pi * radius2) + 2 * pi * radius * height
Cone (surface)	pi * radius * side
Torus (surface)	pi2 * (radius22 - radius12)
Volume formula
Cube	side3
Rectangular Prism	side1 * side2 * side3
Sphere	(4/3) * pi * radius3
Ellipsoid	(4/3) * pi * radius1 * radius2 * radius3
Cylinder	pi * radius2 * height
Cone	(1/3) * pi * radius2 * height
Pyramid	(1/3) * (base area) * height
Torus	(1/4) * pi2 * (r1 + r2) * (r1 - r2)2

social studies

COVERAGE: 3rd Grading Period - 3rd Year Students
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Saturday, December 5, 2009 at 6:19pm




SOCIAL STUDIES


(Civilization in Africa - The Crusades)

I. Matching Type (two parts)

A. (Civilization in Africa)
B. (Age of Faith in Roman Catholic Church)

II. True or False

# 1 – 5. (Africa)
# 6 – 10. (Byzantine Empire)
# 11 – 15. (Middle Ages)

III. Classifications

A. (Civilization in Africa – Empires)
B. (Early, High & Late Middle Ages)

IV. Identification (two parts)

Test I – 10 items
Test II – 10 items

V. Table Completion (20 pts.)

VI. Essay (5pts. Each)

1.) Agricultural System in the Philippines
2.) Problems of Roman Catholic Church

Chem notes 2

democretus-atomos
charls dalton billard -ball
jj thomson rasin -bred/ plum pudding & dicovered elections
ernest rutherford -fried egg & discovered nucleus
neils bohr -planetary
scrodinger -wave like
james chadwick -neutrons
goldstein -protons
jOHAN DOBRANER -ARRANGED BY TRIADS
john newlands -arranged by octives
lothar mayer -according to atomic mass
dimitri mendeleev -father of modern periodic table (according to increasing atomic mass



The order in which subshells are filled can be more easily memorised by following the arrows in the diagram






Memory aid for order of filling sub-shells

name Power
S sharp 2
P Principle 6
D defused 10
F Fundamental 14










F>P Metal
F+P/F>P by 1 Non-metal
F>P by 2 Metalloid
F is 8 Noble Gas




ionization Energy -used to remove electron
Electron Affinity -released when a electron is removed


Atomic Size
Metalic property

Chemistry

Table of elements

Triple Beam Balance

by Liz LaRosa

www.middleschoolscience.com

click here for a pdf version

Objectives:

• to learn the correct way to use a Triple Beam Balance

• to learn the parts of a Triple Beam Balance.

• to take precise measurements when finding the mass of an object

• to find the mass of known and unknown quantities

Materials:

• Film canisters labeled A - Z filled with different masses.

• Sets of Brass weights 200, 100, 50, 20, 10, 5, 2, & 1 gram

• Triple Beam Balances

Procedure:

1. Listen and watch carefully to the demonstration on how to use the Triple Beam Balance.

2. You and your partner will share a triple beam balance.

3. Check to see that the Pointer is pointing to zero.

4. If it is not, check to see that all the Riders are all the way to the left at the Zero mark.

5. Adjust the balance by turning the Adjustment Screw slowly until it points to zero.

6. Place the known brass weights onto the pan and practice measuring until you are comfortable using the balance beam. Start with the largest mass, 200 g, and work your way down to the smallest mass, 1 g.

7. Find the mass of the unknown film canisters.

8. Record canister letter and mass in Table 1.

Data:

Table 1: Mass of unknown film canisters in grams.

	Canister _____	Canister _____	Canister _____	Canister _____	Canister _____
Grams

Analysis and Results:

1. How should you hold a triple beam balance?

2. Why should your balance say zero before you place an object in the pan?

3. What canister had the largest mass? Letter _________ with _______ grams

4. Was it easier to find the mass of an object with a lot of mass or a little amount of mass? Explain.

5. Should our balance beam be renamed to a "Quadruple Beam Balance" - Explain.

Conclusion:

2 - 3 complete sentences on what you learned.

Bunsen Burner Techniques Lab

Parts

Introduction:

The Bunsen burner is used in laboratories to heat things. In order to use it safely and appropriately, it is important to know the correct steps on how to set it up and operate it. A Bunsen burner can produce 3 different types of flames:

The "coolest" flame is a yellow / orange color. It is approximately 300°C. It is never used to heat anything, only to show that the Bunsen burner is on. It is called the safety flame.	The medium flame, also called the blue flame or the invisible flame is difficult to see in a well-lit room. It is the most commonly used flame. It is approximately 500°C.	The hottest flame is called the roaring blue flame. It is characterized by a light blue triangle in the middle and it is the only flame of the 3 which makes a noise. It is approximately 700°C.

Lighting the Bunsen burner:

Step 1

The first step is to check for safety - lab coat on, long hair tied back, safety glasses on, books and papers away from the flame, apparatus set up not too close to the edge of the table...

Step 2

The second step is to look at the holes. Check that the holes are closed. The holes can be adjusted to let in more or less air by turning the collar (see photos below).

Open: Closed:

Step 3

Wait for the teacher's permission, then light the match. Some people prefer to turn the gas on and light the match after. The problem is, if the match breaks or goes out, the gas is leaking out of the tap while you get a new match.

Step 4

Light the Bunsen burner. When you have a flame from the match, turn on the gas tap. To turn it on, you must first push down, then turn the tap. This is a safety feature so the taps are not accidentally pushed open. Approach the match to the top of the Bunsen burner and it should light.

Tap closed: Tap open:

Step 5

Adjust the flame by turning the collar so that you have the appropriate flame for the experiment (usually the medium blue flame).

Step 6

During the experiment, stay vigilant so that if a problem occurs, you are ready to turn off the flame quickly. This means that you should not leave your table unattended.

Formulas

Change Equation
Select an equation to solve for a different unknown

	Solve for density
	Solve for mass
	Solve for volume

Where

d	=	density
m	=	mass
v	=	volume

Evaporation

Evaporation is the vaporization of a liquid and the reverse of condensation. A type of phase transition, it is the process by which molecules in a liquid state (e.g. water) spontaneously become gaseous (e.g. water vapor). Generally, evaporation can be seen by the gradual disappearance of a liquid from a substance when exposed to a significant volume of gas.

Factors influencing the rate of evaporation

Pressure

In an area of less pressure, evaporation happens faster because there is less exertion on the surface keeping the molecules from launching themselves.

Surface area

A substance which has a larger surface area will evaporate faster as there are more surface molecules which are able to escape.

Temperature of the substance

If the substance is hotter, then evaporation will be faster.

Density

The higher the density, the slower a liquid evaporates.

In the US, the National Weather Service measures the actual rate of evaporation from a standardized "pan" open water surface outdoors, at various locations nationwide. Others do likewise around the world. The US data is collected and compiled into an annual evaporation map. The measurements range from under 30 to over 120 inches (3,000 mm) per year.

Decantation

Decantation is a process for the separation of mixtures, carefully pouring a solution from a container in order to leave the precipitate (sediments) in the bottom of the original container. Usually a small amount of solution must be left in the container, and care must be taken to prevent a small amount of precipitate from flowing with the solution out of the container. It is generally used to separate a liquid from an insoluble solid.

Filtration

Filtration is a mechanical or physical operation which is used for the separation of solids from fluids (liquids or gases) by interposing a medium through which only the fluid can pass.

Distillation

Laboratory display of distillation: 1: A heating device 2: Still pot 3: Still head 4: Thermometer/Boiling point temperature 5: Condenser 6: Cooling water in 7: Cooling water out 8: Distillate/receiving flask 9: Vacuum/gas inlet 10: Still receiver 11: Heat control 12: Stirrer speed control 13: Stirrer/heat plate 14: Heating (Oil/sand) bath 15: Stirring means e.g.(shown), anti-bumping granules or mechanical stirrer 16: Cooling bath.

Distillation is a method of separating mixtures based on differences in their volatilities in a boiling

Distillation is a method of separating mixtures based on differences in their volatilities in a boiling liquid mixture. Distillation is a unit operation, or a physical separation process, and not a chemical reaction.

Triangles

• Meaning of triangles

• Triangle - Wikipedia, the free encyclopedia

A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C ...

• Geometry: Congruent Triangles - Math for Morons Like Us

Math for Morons Like Us - Geometry: Congruent Triangles ... Parallel Lines Congruent Tri. Congruent R. Tri.

• Triangle Geometry -- Triangles

A triangle is a polygon with three sides. There are of course triangles of different shapes and sizes. The applet below show triangles of many shapes and sizes.

Triangle (geometry)

Encyclopedia Article

Find | Print | E-mail

Article Outline

Introduction; Plane Triangles; Spherical Triangles

I

Introduction

Print this section

Triangle (geometr

y), geometric figure consisting of three points, called v

ertices, connected by three sides. In Euclidean plane ge

ometry, the sides are

straight line segments (see Fig. 1

). In spherical geometry, the sides are arcs of great circl

es (see Fig. 2). See Geometry; Trigonometry. The term triangle is sometimes used to d

escribe a geometric fi

gure having three vert

ices and sides that are arbitrary curves (see

Fig. 3).

II Plane Triangles Print this section A Euclidean plane triangle has three interior angles (the word interior is often omitted), each formed by two adjacent sides, as ÐCAB in Fig. 1, and six exterior angles, each formed by a side and the extension of an adjacent side, as ÐFEG in Fig. 4. A capital letter is customarily used to designate a vertex of a triangle, the angle at that vertex, or the measure of the angle in angular units; the corresponding lower case letter designates the side opposite the angle or its length in linear units. A side or its length is also designated by naming the endpoints; thus, in Fig. 1, the side opposite angle A is a or BC.

An angle A is acute if 0° < a =" 90°;">

A triangle is scalene if no two of its sides are equal in length, as in Fig. 1; isosceles if two sides are equal, as in Fig. 6; and equilateral if all three sides are equal, as in Fig. 7. The side opposite the right angle in a right triangle, HK in Fig. 5, is called the hypotenuse; the other two sides are called legs. The two equal sides of an isosceles triangle are also called legs, and the included angle is called the vertex angle. The third side is called the base, and the adjacent angles are called the base angles.

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If two sides of a triangle are of unequal size, the angles opposite are of unequal size; the larger side is opposite the larger angle. In the same way, if two angles are unequal, the sides opposite are unequal. Therefore, the three angles of a scalene triangle are of different sizes; the base angles of an isosceles triangle are equal; and the three angles of an equilateral triangle are equal (an equilateral triangle is also equiangular). The side opposite a right angle or an obtuse angle is the longest side of the triangle. see Trigonometry: Law of Sines for the exact relation between the sizes of the angles and sides of a triangle.

In any triangle, an altitude is a line through a vertex perpendicular to the opposite side or its extension, for example, DX in Fig. 8a and 8b. A median is the line determined by a vertex and the midpoint of the opposite side, AN in Fig. 9. An interior angle bisector is the line through a vertex bisecting the interior angle at the vertex, AR in Fig. 10; similarly, an exterior angle bisector bisects the exterior angle at the vertex, AV in Fig. 10. A perpendicular bisector is a line perpendicular to a side at its midpoint, HK in Fig. 11. The terms altitude, median, and interior angle bisector are also often applied to the line segment determined by the vertex and the intersection with the opposite side or its extension.

The three altitudes of a triangle meet in a common point called the orthocenter, O in Fig. 8a and 8b. The three medians meet in a point called the centroid, M in Fig. 9. The centroid divides a median through it into two segments, and the segment having a vertex as endpoint is always twice as long as the other segment. The three angle bisectors meet in a point called the incenter (I in Fig. 10), and the three exterior angle bisectors meet in three points called the excenters, U, V, W of Fig. 10. The incenter and the three excenters are centers of circles tangent to the sides or side extensions of the triangle. The three perpendicular bisectors meet in a point called the circumcenter, H in Fig. 11, which is the center of a circle passing through the three vertices.

If a, b, c are the three sides of a triangle, and h_a is the altitude through vertex A, the semiperimeter s is given by the formula s = y (a + b + c), and the area K by the formula K = yah_a = ÅÆÇÈÇÉÊ. Many other formulas interrelate the various parts of a triangle.

• Vertical angle Theorem Proofs

Vertical Angle Theorem: If two angles are vertical angles, then they have equal measures.

Given:

Statements/Conclusion	Justification
1) BEA and CED are vertical angles.	1) Given
2) and are opposite rays. and are opposite rays.	2) Definition of vertical angles
3) 1 and 3 are a linear pair. 2 and 3 are a linear pair.	3) Definition of linear pair
4) 1 and 3 are supplementary angles. 2 and 3 are supplementary angles.	4) Linear Pair Theorum
5) m1 + m3 = 180 degrees. m2 + m3 = 180 degrees.	5) Definition of supplementary angles
6) m1 + m3 = m2 + m3	6) Substitution Property
7) m3 = m3*	7) Reflexive Property
8) m1 = m2	8) Subtraction Property of Equality

* Step 7 is usually not necessary and is only included for clarification.

· Postulates

Angle Side Angle Postulate

Proving Congruent Triangles with ASA

The Angle Side Angle postulate (often abbreviated as ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.

---

Theorems and Postulates for proving triangles congruent
Hypotenuse Leg Theorem | Side Side Side | Side Angle Side | Angle Side Angle | Angle Angle Side |isosceles triangle proofs|CPCTC | indirect proof| quiz on all theorems/postulates

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Example of Angle Side Angle Proof

ABC XYZ

• Two angles and the included side are congruent
• CAB = ZXY (angle)
• AB = XY (side)
• ACB = XZY (angle)
• Therefore, by the Angle Side Angle postulate (ASA), the triangles are congruent.

Included Side

The included side means the side between two angles. In other words it is the side 'included between' two angles.

For more help click this link

Side Angle Side Postulate

Proving Congruent Triangles with SAS

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Example 1

ABC XYZ
• Two sides and the included angle are congruent
  • AC = ZX (side)
  • ACB = XZY (angle)
  • CB = ZY (side)
• Therefore, by the Side Angle Side postulate, the triangles are congruent.

Included Angle

The included angle means the angle between two sides. In other words it is the angle 'included between' two sides.

For more help click this link

Side Side Side Postulate

Proving Congruent Triangles with SSS

The Side Side Side postulate states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
Example 1

ABC XYZ
• Alll 3 sides are congruent
  • ZX = CA (side)
  • XY = AB (side)
  • YZ = BC (side)
• Therefore, by the Side Side Side postulate, the triangles are congruent.

For more help click this link

Angle Angle Side Postulate

Proving Congruent Triangles with AAS

The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included angle of another triangle, then these two triangles are congruent.

Example of Angle Angle Side Proof (AAS)

ABC XYZ
• Two angles and a non-included side are congruent
  • CAB = ZXY (angle)
  • ACB = XZY (angle)
  • AB = XY (side)
• Therefore, by the Angle Angle Side postulate (AAS), the triangles are congruent.

For more help click this link

Hypotenuse Leg Theorem

Proving Congruent Right Triangles

The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
Example 1
Given AB = XZ, AC = ZY, ACB = ZYX = 90°
Prove ABC XYZ

• ABC and XZY are right triangles since they both have a right angle
• AB = XZ (hypotenuse) reason: given
• AC = ZY (leg) reason: given
• ABC XYZ by the hypotenuse leg theorem which states that two right triangles are congruent if their hypotenuses are congruent and a corresponding leg is congruent.

---

The following proof simply shows that it does not matter which of the two (corresponding) legs in the two right triangles are congruent.

Example 2
Given AB = XZ, CB = XY, ACB = ZYX = 90°
Prove ABC XYZ

• ABC and XZY are right triangles since they both have a right angle
• AB = XZ (hypotenuse) reason: given
• CB = XY (leg) reason: given
• ABC XYZ by the hypotenuse leg theorem which states that two right triangles are congruent if their hypotenuses are congruent and a corresponding leg is congruent.

For more help click this link

CPCTC

Corresponding parts of congruent triangles are congruent

CPCTC is a short hand acronym for the phrase

'corresponding parts of congruent triangles are congruent'

What does CPCTC mean? It means that once we know that two triangles are congruent, we know that all corresponding sides and angles are congruent!

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How to prove triangles are congruent with SSS, SAS, AAS, and other postulates

---

Remember the meaning of congruent triangles. Two triangles are congruent if all 3 sides and 3 angles of one triangle equal all 3 sides and all 3 angles of the other triangle. CPCTC takes advantage of this fact. The general method is to first prove that 2 triangles are congruent and then use that knowledge to prove that a certain pair of corresponding sides or angles are congruent.

Please click this link for further explanation

Isosceles Triangle Proofs

Theorems and practice

Proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles. Therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

Isosceles Triangle

An isosceles triangle has two congruent sides and two congruent angles. The congruent angles are called the base angles and the other angle is known as the vertex angle. BAC and BCA are the base angles of the triangle picture on the left. The vertex angle is ABC

Isosceles Triangle Theorems

The Base Angles Theorem

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Converse of the Base Angles Theorem

The converse of the base angles theorem, states that if two angles of a triangle are congruent, then sides opposite those angles are congruent.