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# 40 - PowerPoint PPT Presentation

Warm up. Solve. 1. 40. 4x – 20 . x. 2. 42. 2y + 28 . 3y – 14°. Congruent Triangles. Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts. Congruence Statement. In a congruence statement

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Presentation Transcript

Warm up

Solve.

1.

40

4x – 20

x

2.

42

2y + 28

3y – 14°

Congruent Triangles

Congruent triangles have 3 congruent sides and 3 congruent angles.

The parts of congruent triangles that “match” are called corresponding parts.

Congruence Statement

In a congruence statement

ORDER MATTERS!!!!

Everything matches up.

CPCTC

Corresponding Parts of Congruent Triangles are Congruent

Complete each congruence statement.

B

If ABC  DEF,

then BC  ___

EF

A

C

D

F

E

Complete each congruence statement.

B

If ABC  DEF,

then A  ___

D

A

C

D

F

E

Complete each congruence statement.

B

If ABC  DEF,

then C  ___

F

A

C

D

F

E

Fill in the blanks

If CAT  DOG,

then AC  ___

OD

Fill in the blanks

BAT  MON

N

T  ___

_____  ONM

_____  MO

NM  ____

ATB

BA

TB

Fill in the blanks

BCA   ____

____   GFE

EGF

CAB

Complete the congruence statement.

MKL

_____   JKN

Complete the congruence statement.

ABD

_____   CBD

Side-Side-Side (SSS) Congruence Postulate

All Three sides in one triangle are congruent to all three sides in the other triangle

Side-Angle-Side (SAS) Congruence Postulate

Two sides and the INCLUDED angle

(the angle is in between the 2 marked sides)

A

A

A

A

S

S

Angle-Angle-Side (AAS) Congruence Postulate

Two Angles and One Side that is NOT included

Angle-Side-Angle (ASA) Congruence Postulate

A

A

S

S

A

A

Two angles and the INCLUDED side

(the side is in between the 2 marked angles)

There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg

HL

SSS

SAS

ASA

AAS

HL

Your Only Ways To Prove Triangles Are Congruent

Share a side

Reason: reflexive property

Vertical Angles

Reason: Vertical Angles are congruent

CW:

Practice Worksheet

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