Question

Which best describes why these two figures are similar or not similar?

Answer 1

Answer: They are not similar because their corresponding angles are not congruent.

Explanation:

We know that : When two triangles are similar , the their corresponding angles are congruent.

i.e. Corresponding angles of two similar triangles must have equal measures.

From the given picture , we can see that angles in ΔPQR are completely different from ΔSTU.

⇒ ΔPQR is not similar to ΔSTU.

Therefore , the given triangles are not similar because their corresponding angles are not congruent.

Correct answer : They are not similar because their corresponding angles are not congruent.

Answer 2

Explanation:

Alright, lets get started.

Before moving to the answer, we must be familiar with the concept of similar triangles.

Please refer the diagram I have attached.

Two triangles are called similar if their corresponding angles are congruent and the corresponding sides are in proportion.

As we can see in diagram I have attached, both triangles have corresponding angles congruent, means

`angle A = angle E`

`angle B =angle F`

`angle C = angle G`

Hence both triangles are similar.

Now coming back to our question, as we can see, there is no angle is congruent in both triangles, so these are not similar triangles.

Hence, they are not similar because their corresponding angles are not congruent. : Answer