Question

If the correspondences ABC⇔BAC is similarity, then ΔABC is an isosceles triangle.State whether the given statement are true or false. Give reasons for your answer.

Answer 1

the given statement is true .
If the correspondences ABC⇔BAC is similarity, then ΔABC is an isosceles triangle.

For ∆ABC, the correspondence ABC⇔BAC is a similarity.
∴ ∠A≅∠B
∴BC≅AC
Hence, two sides of ABC are congruent and therefore ∆ABC is an isosceles triangle.