Question

Which of the following statements shows that these two polygons are not similar?

Answer 1

The correct option is: The corresponding angles are not congruent.

Explanation:

We are given two polygons with known side lengths and measure of their angles.

For any polygons to be similar, their corresponding sides lengths must be proportional and their corresponding angles must be congruent.

While here in this case, the corresponding angles and side lengths, all are different.

Therefore, the correct answer option is: the corresponding angles are not congruent.

Answer 2

Answer: Third Option is correct.

Explanation:

Since We can see from the figure that

∠SRP = 100°

∠XWZ = 95°

Therefore, ∠SRP ≠ ∠XWZ

so, Corresponding angles are not congruent.

So, it can't be similar by AA criterion.

As similarity assures that corresponding angles of the similar triangle must be congruent.

Hence, Third Option is correct.