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Date post: 01-Jan-2016
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Warm up. Solve. 1. 40. 4x – 20 . x. 2. 42. 2y + 28 . 3y – 14°. Questions over HW? Did you have hw?. Congruent Triangles. Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “ match ” are called corresponding parts. - PowerPoint PPT Presentation
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40 x 4x – 20 Solve. Warm up 1. 2y + 28 3y – 14° 2. 42
Transcript

40 x 4x – 20

Solve.

Warm up

1.

2y + 28 3y – 14°

2.

42

Questions over HW?Did you have hw?

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.

NOV DAY

Complete each congruence statement.

CA

E

D

B

F

If ABC DEF,

then BC ___EF

Complete each congruence statement.

CA

E

D

B

F

If ABC DEF,

then A ___D

Complete each congruence statement.

CA

E

D

B

F

If ABC DEF,

then C ___F

Fill in the blanks

If CAT DOG,

then AC ___OD

Fill in the blanks

BAT MON

T ________ ONM_____ MONM ____

NATBBA

TB

Fill in the blanks

BCA ________ GFE

EGF

CAB

Complete the congruence statement.

_____ JKNMKL

Complete the congruence statement.

_____ CBDABD

There are 5 ways to prove

triangles congruent.

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)

Angle-Angle-Side (AAS) Congruence Postulate

Two Angles and One Side that is NOT

included

Angle-Side-Angle (ASA) Congruence Postulate

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

} Your Only Ways To Prove Triangles Are

Congruent

NO BAD WORDS

2 markings you can add if they aren’t marked

already

Share a side

Reason: reflexive property

Vertical Angles

Reason: Vertical Angles are congruent

White White Board Board

PracticePractice

SSS, SAS, ASA, AAS, HL, or not congruent.

SSS

Ex 1

SSS, SAS, ASA, AAS, HL, or not congruent.

AAS

I

Ex 2

Not congruent.

SSS, SAS, ASA, AAS, HL, or not congruent.Ex 3

SSS, SAS, ASA, AAS, HL, or not congruent.Ex 4

SAS

ASA

Ex 5

SSS, SAS, ASA, AAS, HL, or not congruent.

SSS, SAS, ASA, AAS, HL, or not congruent.

Ex 6

SSS

Not congruent

Ex 7

SSS, SAS, ASA, AAS, HL, or not congruent.

SAS

Ex 8

SSS, SAS, ASA, AAS, HL, or not congruent.

SSS, SAS, ASA, AAS, HL, or not congruent.Ex 9

Not congruent.

SSS, SAS, ASA, AAS, HL, or not congruent.

Ex 10

HL


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