Question

Use the image to answer the question.

Parallelogram upper W upper X upper Y upper Z is shown with base upper Z upper Y shorter than the height upper W upper Z. Diagonals are drawn from upper W to upper Y and upper X to upper Z to meet at upper A.

Chole draws parallelogram WXYZ
with diagonals WY
and XZ
meeting at point A
. If WY
measures 7 centimeters, what is the length of AW
?

(1 point)

Answer 1

In a parallelogram, the diagonals bisect each other. This means that the point where the diagonals meet (point A in your case) is the midpoint of each diagonal.

Given that diagonal WY measures 7 centimeters, we can find the length of AW by recognizing that point A is the midpoint of WY.

Since A is the midpoint, the length of AW is half the length of WY:

\[
AW = \frac{WY}{2} = \frac{7 \text{ cm}}{2} = 3.5 \text{ cm}
\]

Therefore, the length of AW is 3.5 centimeters.