Option A:
Option C:
Solution:
Given ΔRST similar to ΔABC.
To determine which statements are true for the given similarity triangles.
Option A:
By the similarity theorem,
If two triangles are similar, then the corresponding angles are equal and the corresponding sides are in the same ratio or proportion.
Therefore,
It is true.
Option B:
By the similarity theorem, corresponding angles are equal.
∠S is corresponding to ∠B.
So, .
That means ∠S is not corresponding to ∠A.
Therefore, it is false.
Option C:
By the similarity theorem, corresponding angles are equal.
∠R is corresponding to ∠C.
Therefore .
It is true.
Option D:
We already, proved in option A that
Therefore, .
It is false.
Option A and Option C are true.
Hence and .