Question

Which statement could be used to prove that ^ABC and ^A’B’C are congruent

Answer 1

Given:

The two triangles ABC and A'B'C' .

To show these two triangles are similar,

`\begin{gathered} A)\text{ }\angle A\cong\angle A^(\prime),\text{ AC}\cong A^(\prime)C^(\prime),\text{ BC}\cong B^(\prime)C^(\prime) \\ \text{both triangles are not congruent with these statement.} \\ B)\text{ }\angle A\cong\angle A^(\prime),\text{ }\angle B\cong\angle B^(\prime),\text{ }\angle C\cong\angle C^(\prime) \\ \text{Not conguent } \\ C)\text{ AB}\cong A^(\prime)B,\text{ BC}\cong B^(\prime)C^(\prime),\text{ }\angle A\cong\angle A^(\prime) \\ \text{Not congruent } \\ D)\text{ AB}\cong A^(\prime)B^(\prime),\text{ }\angle A\cong\angle A^(\prime),\text{ }\angle C\cong\angle C^(\prime) \\ \text{both triangles are congruent using AAS postulate} \end{gathered}`

Answer: Option D ) is correct.