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Slide 1

Proving Triangles Congruent

Slide 2

Two geometric figures with exactly the same size and shape.

Slide 3

How much do you

need to know. . .

. . . about two triangles

to prove that they

are congruent?

Slide 4

In Lesson 4.2, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent.

ABC DEF

Slide 5

Do you need all six ?

NO !

Slide 6

Side-Side-Side (SSS)

Slide 7

Side-Angle-Side (SAS)

AB DE

A D

AC DF

ABC DEF

B

A

C

E

D

F

included

angle

Slide 8

The angle between two sides

G

I

H

Slide 9

Name the included angle:

YE and ES

ES and YS

YS and YE

Included Angle

E

S

Y

Slide 10

A D

AB DE

B E

ABC DEF

B

A

C

E

D

F

included

side

Slide 11

The side between two angles

GI

HI

GH

Slide 12

Name the included angle:

Y and E

E and S

S and Y

Included Side

YE

ES

SY

Slide 13

Angle-Angle-Side (AAS)

A D

B E

BC EF

ABC DEF

B

A

C

E

D

F

Non-included

side

Slide 14

Go to page:

1 2

1 2

- The Idea of a Congruence
- Corresponding Parts
- Included Angle
- Angle-Side-Angle (ASA)
- Included Side
- Name That Postulate
- Let’s Practice

- Geophysical Concepts, Applications and Limitations
- Madame Marie Curie
- Newton’s Law of Gravity
- Thermal Energy
- Understanding Heat Transfer, Conduction, Convection and Radiation
- Newton's Laws
- Newton's laws of motion

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