IS THE ANSWER 1.8

Question

Quadrilateral MNPQ is shown.

If MP = 5.9, what is RN? Round your answer to the nearest tenth. Write NA if there is not enough information given.

Answer 1

The figure shows:

1. MQ is parallel to NP
2. MN ≅ QP

So MNPQ is an isosceles trapezoid. That means that the two diagonals, MP and QN, are congruent and therefore are equal in length;

MP = QN

By the Segment Addition Postulate, QN = QR + RN and QR = 4.1:

MP = QN

5.9 = 4.1 + RN

Solve for RN