Question

Which statements could be used to prove that ΔABC and ΔA′B′C′ are congruent?

Answer 1

Given:

`\Delta ABC\cong\Delta A^(\prime)B^(\prime)C^(\prime)`

To find:

The correct statements that could be used to prove the given.

Step-by-step explanation:

Using the AAS congruence rule,

`\begin{gathered} \angle A\cong\angle A^(\prime) \\ \angle C\cong\angle C^(\prime) \\ AB\cong A^(\prime)B^(\prime) \end{gathered}`

We shall prove that,

`\Delta ABC\cong\Delta A^(\prime)B^(\prime)C^(\prime)`

Therefore, the correct option is B.

Final answer:

The correct option is B.

`\begin{gathered} AB\cong A^(\prime)B^(\prime) \\ \angle A\cong\angle A^(\prime) \\ \angle C\cong\angle C^(\prime) \end{gathered}`