congruent triangles

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AN INTRODUCTION AN INTRODUCTION

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Congruent triangles. class VII. Lesson 1. AN INTRODUCTION. M E A NING. Geometrical figures are said to be congruent if they have same shape and same size. Figure F1. & Figure F2. are congruent. covers it exactly. if F1 when superposed over F2. F1. F2. . Congruency symbol. - PowerPoint PPT Presentation

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Page 1: Congruent triangles

AN INTRODUCTIONAN INTRODUCTION

Page 2: Congruent triangles

MMEEAANNIINNGG

Geometrical Geometrical figures are figures are said to besaid to be

congruentcongruent if they have if they have same shape same shape and same sizeand same size

Page 3: Congruent triangles

covers it covers it exactlyexactlyF1 F2

FigureFigure F1F1 & Figure F2Figure F2

are congruent

if F1 when superposed over F2F2

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Congruency symbolCongruency symbol

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FIND THE CONGRUENCY IN THESE RECTANGULAR PLATES

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CAN YOU SEE, THE CONGRUENCY IN THESE

ARCHES

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FIND THE SETS OF FIND THE SETS OF CONGRUENT FIGURES HERECONGRUENT FIGURES HERE

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SEE THE CONGRUENT FIGURES

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SEE THE CONGRUENT FACES

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CONGRUENT SHAPES

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CONGRUENT SHAPESCONGRUENT SHAPES

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CHOOSE SHAPES

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SHAPES

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congruent figurescongruent figures

Line segments are congruent if their lengths are equal

Squares are congruent if one of their sides equal

Circles are congruent if their radii equal

a a

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PENTOGONPENTOGON

congruent figurescongruent figures

An AngleAn Angle

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Choose the congruent figuresChoose the congruent figures

1

2

3

4

5

6

7

8

9

10

11

1213

14

15

16

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Same shape butSame shape but not same size not same size

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Two triangles are congruent if three angles and three sides of one triangle are equal to the corresponding three angles and three sides of another triangle

Congruent trianglesCongruent triangles

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Corresponding PartsCorresponding PartsHere Here C coincides with C coincides with R , R , A with A with P & P & B with B with Q Q We call the pairs We call the pairs Corresponding partsCorresponding parts (angles) (angles)

A B

C

PQ

R

Write the other corresponding parts (sides)

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Write the corresponding partsWrite the corresponding parts

A

B C

R

Q

P

D

E

F

K

LM

ABC RPQDEF MLK

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AssignmentAssignment

State true or falseState true or false

1.When a line segment is bisected we 1.When a line segment is bisected we get two congruent line segmentsget two congruent line segments

2.When an angle is bisected we obtain 2.When an angle is bisected we obtain two angles which are congruent to two angles which are congruent to each othereach other

3.Circles always have same shape and 3.Circles always have same shape and same sizesame size

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CONDITIONS FOR CONDITIONS FOR CONGRUENCECONGRUENCE

SSSSSSSASSASASA also AASASA also AASRHSRHS

Page 24: Congruent triangles

SSSSSS

SASSAS

ASAASA

RHSRHSLET US LEARN ABOUT THIS IN

LESSON-2