Math 1February 27th

Turn in homework – page 34• Warm-up: Copy and complete the following

To use the SSS postulate to show ∆ABC ∆EFG, the following must be true:

Turn in warm-ups today. Make sure each day is separated from the

next.

Proving Triangles Congruent

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Two TRIANGLES with exactly the same size and shape.

Congruent Triangles

A C

B

DE

F

Side-Side-Side (SSS)

1. AB DE2. BC EF3. AC DF

ABC DEF

B

A

C

E

D

F

Side-Angle-Side (SAS)

1. AB DE2. A D3. AC DF

ABC DEF

B

A

C

E

D

F

included angle

Angle-Side-Angle (ASA)

1. A D2. AB DE3. B E

ABC DEF

B

A

C

E

D

F

Included

side

The side between two anglesIncluded Side

GI HI GH

Name the included angle:

Y and E E and S S and Y

Included Side

SY

E

YEESSY

Angle-Angle-Side (AAS)

1. A D2. B E3. BC EF

ABC DEF

B

A

C

E

D

F

Non-included

side

Warning: No SSA Postulate

A C

B

D

E

F

NOT CONGRUENT

There is no such thing as an SSA

postulate!

Warning: No AAA Postulate

A C

B

D

E

F

There is no such thing as an AAA

postulate!

NOT CONGRUENT

The Congruence Postulates SSS

correspondence ASA

correspondence SAS

correspondence AAS

correspondence SSA

correspondence AAA

correspondence

Name That Postulate

SAS ASA

SSSSSA

(when possible)

1. 2.

3.4.

Name That Postulate(when possible)

ASA

SAS

AAA

SSA

5.6.

7. 8.

Name That Postulate(when possible)

SAS

SAS

SAS

Reflexive Property

Vertical Angles

Vertical Angles

Reflexive Property SS

A

9. 10.

11. 12.

HW: Name That Postulate(when possible)

13. 14.

15.16.

(when possible)HW: Name That Postulate17. 18.

19.

Let’s PracticeIndicate the additional information needed to enable us to apply the specified congruence postulate.

For ASA:

For SAS:

B D

For AAS: A F AC FE

HWIndicate the additional information needed to enable us to apply the specified congruence postulate.

For ASA:

For SAS:

For AAS:

20.

21.

22.

HOMEWORK• COMPLETE PAGE 35 (ALL)