Chapter 2, Section 3



Triangle Congruence: ASA and AAS

Theorem Angle-Side-Angle (ASA) Postulate

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Ex 1: Given

Write a congruence statement for the triangles above.

Ex 2: Which side is included between [pic] R and [pic]F in [pic]FTR?

Ex 3: Which angles in [pic]STU include [pic]?

Theorem Angle-Angle-Side (AAS) Theorem

If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

Ex 4:

Given:

Write a congruence Statement for the triangles above.

Ex 5:

Can you prove ASA or AAS? If yes, state the triangle congruence and the postulate or theorem you used.

Given: that MNOP is a parallelogram.

Ex 6:

Can you prove ASA or AAS? If yes, state the triangle congruence and the postulate or theorem you used.

2. What are the congruency statement for the following?

3. What about AAA, SSA, and AA? Find an example to support your conclusion?

-----------------------

C

F

A

C

B

D

G

____

______ by _____

M

N

O

Q

R

P

4

4

300

600

G

F

B

C

G

F

DFG

D

A

ABC

G

C

F

B

P

L

A

Y

A

C

X

D

5

A

D

G

B

F

B

C

A

D

A

D

A

B

G

C

F

B

5

420

420

380

1000

D

G

F

B

A

C

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