Can someone please help me with this (if you cant see it just zoom in)

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 .