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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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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
Complete each congruence statement.

B

If ABC  DEF,

then BC  ___

EF

A

C

D

F

E


Complete each congruence statement1
Complete each congruence statement.

B

If ABC  DEF,

then A  ___

D

A

C

D

F

E


Complete each congruence statement2
Complete each congruence statement.

B

If ABC  DEF,

then C  ___

F

A

C

D

F

E


Fill in the blanks
Fill in the blanks

If CAT  DOG,

then AC  ___

OD


Fill in the blanks1
Fill in the blanks

BAT  MON

N

T  ___

_____  ONM

_____  MO

NM  ____

ATB

BA

TB


Fill in the blanks2
Fill in the blanks

BCA   ____

____   GFE

EGF

CAB


Complete the congruence statement
Complete the congruence statement.

MKL

_____   JKN


Complete the congruence statement1
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
There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg

HL


SSS it’s

SAS

ASA

AAS

HL

NO BAD WORDS

Your Only Ways To Prove Triangles Are Congruent



Share a side it’s

Reason: reflexive property

Vertical Angles

Reason: Vertical Angles are congruent


CW: it’s

Practice Worksheet

#1 – 9


Homework ws 1 12

Homework WS it’s #1 – 12


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