Question

In triangle MPQ points N and R are located on sides MP and QP with NR drawn. which set of measurements below would justify that triangle MPQ is similar to triangle NPR

number 9

Answer 1

To justify that triangle MPQ is similar to triangle NPR, we need to show that the corresponding angles are equal and the corresponding side lengths are proportional.

Step-by-step explanation:

In order to justify that triangle MPQ is similar to triangle NPR, we need to show that the corresponding angles of the two triangles are equal and the corresponding sides are proportional. In this case, the set of measurements that would justify the similarity would be:

1. Angle MPQ is equal to angle NPR
2. Angle PMQ is equal to angle NRP
3. Angle QMP is equal to angle RPN
4. MP/PN = MQ/PR
5. MQ/QP = NP/PR

By showing that the corresponding angles and the ratios of the corresponding side lengths are equal, we can conclude that triangle MPQ is similar to triangle NPR.

Answer 2

The answer is number 1. Because 12/10 =20/18 is a true statement. None of the others are true