Question

In each of the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.

Answer 1

PQ || BC             (Corresponding angles formed are equal)

In ΔAPQ and ΔABC,

\[\angle APQ = \angle B\] ( Corresponding angles )

\[\angle PAQ = \angle BAC \] `(Common)`

So,

\[∆ APQ~ ∆ ABC\] (AA Similarity)

Yes  two triangles are similar