Question

If triangle MNO is similar to triangle PQR, which statement is true about the two triangles?

Answer 1

Select one:
a. Segment NO is proportional to segment QR, and angles M and P are congruent.
b. Segment MN is congruent to segment PQ, and angles O and R are congruent.
c. Segment NO is proportional to segment QR, and angles M and P are proportional.
d. Segment MN is congruent to segment PQ, and angles O and R are proportional.

Answer 2

@Directrix

Answer 3

By definition of similar triangles, corresponding angles are congruent and corresponding sides are in proportion.

So, let's look at the options.

Answer 4

The congruent segment options are out. Congruent segments are in a 1 to 1 ratio but we have no reason to believe that they are congruent here. Just proportional.

Answer 5

Angles are not proportional in similar triangles - they are congruent.

So, this option is not correct: angles M and P are proportional.

Answer 6

@Edge What is left for the correct option? Post what you think it is. Okay?

Answer 7

okay im back

Answer 8

is it either A or B

Answer 9

@Directrix

Answer 10

Yes, it has to be A.

Answer 11

oh I thought it would be B

Answer 12

isn't it basically saying the same thing as A

Answer 13

b. Segment MN is congruent to segment PQ, and angles O and R are congruent.

Congruent and proportional are not the same. One is a special case of the other.

In these similar triangles, we have no way of knowing that segment MN is congruent to segment PQ. Corresponding sides of similar triangles are in proportion by definition.

If the question were mine to answer, I would write A.

If you want to go with B, then that's your prerogative but don't be surprised when an "x" comes back next to the B answer.

Answer 14

ok thnx

Answer 15

You are welcome.