Here are some possible questions for a quiz on triangle congruence by ASA and AAS:
1. True or False: 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.
2. True or False: If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.
3. True or False: If two angles and a side not between them of one triangle are congruent to two angles and a side not between them of another triangle, then the triangles are congruent.
4. Fill in the blank: Triangle ABC is congruent to triangle DEF by ASA congruence. If angle A is congruent to angle D, side AC is congruent to side DF, and angle C is congruent to angle F, then side ____ is congruent to side ____.
5. Fill in the blank: Triangle PQR is congruent to triangle XYZ by AAS congruence. If angle Q is congruent to angle Y, angle P is congruent to angle X, and side PQ is congruent to side XY, then angle R is congruent to angle ____.
6. Which congruence theorem can be used to prove that two triangles are congruent if all three corresponding angles are congruent?
a) ASA congruence
b) AAS congruence
c) SAS congruence
d) SSS congruence
7. Which congruence theorem can be used if we are given that two angles and the included side of one triangle are congruent to two angles and the included side of another triangle?
a) ASA congruence
b) AAS congruence
c) SAS congruence
d) SSS congruence
8. Triangle ABC is congruent to triangle XYZ. If angle A is congruent to angle Z, angle B is congruent to angle Y, and side AB is congruent to side YZ, which combination of congruence theorems can be used to prove the congruence?
a) AAS and ASA
b) ASA and SAS
c) SAS and SSS
d) AAS and SSS
9. True or False: If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.
10. Fill in the blank: Triangle MNO is congruent to triangle PQR by AAS congruence. If angle M is congruent to angle P, angle N is congruent to angle Q, and side NO is congruent to side QR, then side ____ is congruent to side ____.
GEOM A - Triangle Congruence by ASA and AAS quiz
1 answer