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  1. This states that if two sides and an included angle of one triangle are congruent to two sides and an included angle of a second triangle, then the triangles are congruent.
    1. ASA Theorem
    2. SAS Congruence Postulate
    3. AAS Theorem

    Answer: b. SAS Congruence Postulate

  2. This states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
    1. ASA Theorem
    2. SAS Congruence Postulate
    3. AAS Theorem

    Answer: a. ASA Theorem

  3. This states that if two angles and a nonincluded side of one triangle is congruent to two angles and a nonincluded side of another triangle, then the triangles are congruent.
    1. ASA Theorem
    2. SAS Congruence Postulate
    3. AAS Theorem

    Answer: c. AAS Theorem

Practice Problem #4

Is this enough information to prove the triangles congruent? If so, complete the congruence statement and the method used to prove they are congruent.

Segment BC is congruent to ______
Answer: segment KN

Angle B is congruent to ______
Answer: angle K

Angle C is congruent to ______
Answer: angle N

Yes, Δ ABC is congruent to ______ by the _______ postulate.
Answer: ΔMKN and ASA

Practice Problem #5

Is this enough information to prove the triangles congruent? If so, complete the congruence statement and the method used to prove they are congruent.

Segment GS is congruent to ______
Answer: segment HP

Angle T is congruent to ______
Answer: angle W

Angle G is congruent to ______
Answer: angle H

Yes, Δ TGS is congruent to ______ by the _______ postulate.
Answer: ΔWHP and AAS

Practice Problem #6

Is this enough information to prove the triangles congruent? If yes, list ASA or AAS as the method used to prove them congruent. Then identify the rigid transformation.

Is this enough information to prove the triangles congruent?
Answer: Yes

Method used:
Answer: AAS

Rigid Transformation:
Answer: Translation

Practice Problem #7

Is this enough information to prove the triangles congruent? If yes, list ASA or AAS as the method used to prove them congruent. Then identify the rigid transformation.

Is this enough information to prove the triangles congruent?
Answer: Yes

Method used:
Answer: ASA

Rigid Transformation:
Answer: Rotation

Practice Problem #8

Is this enough information to prove the triangles congruent? If yes, list ASA or AAS as the method used to prove them congruent. Then identify the rigid transformation.

Is this enough information to prove the triangles congruent?
Answer: No

Practice Problem #9

Is this enough information to prove the triangles congruent? If yes, list ASA or AAS as the method used to prove them congruent. Then identify the rigid transformation.

Is this enough information to prove the triangles congruent?
Answer: No