Question

In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in. What is the length of line segment MX? 6 in. 7 in. 8 in. 9 in.

Answer 1

Answer: 8 in

M is the center created by diagonal lines leading though the parallelogram, taking this into account the correct answer is half of XZ.

16/2 = 8

Answer 2

Using the charasteristics of a parallelogram, the length of line segment MX is 8 in (Third option).

Explanation:

In parallelogram WXYZ:

WY=12 in., this is a diagonal in the parallelogram

XZ=16 in., this is the other diagonal in the parallelogram

WX=10 in., this is one of the sides of the parallelogram

XY=9 in., this is the other side of the parallelogram

MX=? this segment is between the vertex X and the point of intersection of the diagonals

In a parallelogram the diagonals intersect (point M) dividing them in equal parts each other, then:

MX=MZ=XZ/2

MX=MZ=(16 in.)/2

MX=MZ=8 in.