Question

If triangles MNO and PQR are similar, which of the following must be true?Select all that apply

Answer 1

Options C and D are correct choices

Here, we want to check for the possible ratios given that the two triangles are similar

Mathematically, when two triangles are siilar, the ratio of their corresponsding side lengths are equal

Now, the similar sides are; MN and QP ;

RP and MO ; NO and QR

We can now check for the correct options;

a) NM/NO = QP/QR

That means; NM * QR = NO * QP = 1

This means the first option cannot be correct

b) This is also incorrect; angle N should be similar to the angle at vertex Q

c) This is correct, angle N is similar to the angle at vertex Q

d) This is also correct as we can see that these sides are the similar sides in both triangles