in parallelogram wxyz, wy = 12 in., xz = 16 in., wx = 10 in., and xy = 9 in. what is the length of line…
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
Explanation:
Step1: Recall parallelogram property
The diagonals of a parallelogram bisect each other. In parallelogram WXYZ, diagonals WY and XZ intersect at point M.
Step2: Identify relevant diagonal
We are interested in diagonal XZ which has length 16 in. Since the diagonals bisect each other, M is the mid - point of XZ.
Step3: Calculate length of MX
If XZ = 16 in and M is the mid - point of XZ, then MX=$\frac{1}{2}$XZ. So MX = $\frac{1}{2}\times16$ = 8 in.
Answer:
C. 8 in.