Answer:
9. SSS
10. ASA
11. NONE
12. NONE
Step-by-step explanation:
9. The figure shows two triangles with two corresponding sides indicated to be congruent to each other. The third side is shared by both triangles. Therefore, by the SSS Congruence Theorem, both triangles are congruent to each other. Three sides of one triangle is congruent to the corresponding sides of the other.
10. The figure shows that two angles of one ∆ is congruent to two corresponding angles of the other ∆. Also, the triangles share a common side. This side is an included side between the two given angles. Therefore, by ASA Congruence Theorem, both triangles are congruent to each other.
11. This figure shows the two triangles have 3 corresponding equal angles. This is not enough to prove they are congruent.
12. The two triangles has two corresponding congruent sides given. However, we don't have enough information to determine if they are congruent to each other.
