The triangles are similar. write a similarity statement for the triangles

Step-by-step explanation:

By given, we know that both triangles are similar, that means their sides are proportional and their angle are congruent. However, we need to be careful when we write the similarity statement, because all corresponding vertex must be in the same position.

For example, from the image, we can deduct that the similarities are

Each statement is true, based on the similarity provided by the problem.

Now, let's see which option has one of this similarities.

You can observe that the first option is not the right answer because, the triangle NPM doesn't correspond to triangle RNQ.

Similarly, the second choice is not correct, because triangle NPM is no similar to triangle NRQ.

However, the third choice is the right answer, because triangle NPM corresponds to triangle NQR, they are similar.

Therefore, the right answer is the third choice:

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values