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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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Presentation Transcript
slide1

Warm up

Solve.

1.

40

4x – 20

x

2.

42

2y + 28

3y – 14°

slide2

Congruent Triangles

Congruent triangles have 3 congruent sides and 3 congruent angles.

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

slide3

Congruence Statement

In a congruence statement

ORDER MATTERS!!!!

Everything matches up.

slide4

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

slide14

Side-Side-Side (SSS) Congruence Postulate

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

slide15

Side-Angle-Side (SAS) Congruence Postulate

Two sides and the INCLUDED angle

(the angle is in between the 2 marked sides)

slide16

A

A

A

A

S

S

Angle-Angle-Side (AAS) Congruence Postulate

Two Angles and One Side that is NOT included

slide17

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

slide19

SSS

SAS

ASA

AAS

HL

NO BAD WORDS

Your Only Ways To Prove Triangles Are Congruent

slide21

Share a side

Reason: reflexive property

Vertical Angles

Reason: Vertical Angles are congruent

slide22

CW:

Practice Worksheet

#1 – 9

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