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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

Solve.

1.

40

4x – 20

x

2.

42

2y + 28

3y – 14°

Congruent triangles have 3 congruent sides and 3 congruent angles.

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

In a congruence statement

ORDER MATTERS!!!!

Everything matches up.

Corresponding Parts of Congruent Triangles are Congruent

B

If ABC  DEF,

then BC  ___

EF

A

C

D

F

E

B

If ABC  DEF,

then A  ___

D

A

C

D

F

E

B

If ABC  DEF,

then C  ___

F

A

C

D

F

E

If CAT  DOG,

then AC  ___

OD

BAT  MON

N

T  ___

_____  ONM

_____  MO

NM  ____

ATB

BA

TB

BCA   ____

____   GFE

EGF

CAB

MKL

_____   JKN

ABD

_____   CBD

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

Two sides and the INCLUDED angle

(the angle is in between the 2 marked sides)

A

A

A

S

S

Angle-Angle-Side (AAS) Congruence Postulate

Two Angles and One Side that is NOT included

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 it’s

SAS

ASA

AAS

HL

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

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