Question

23.0 points23.) ABCD-WXYZ.AD = 12, DC = 3, and WZ = 50. Find ZY.The figure is not drawn to scale.xBwAYczA.) 150B.) 20.7C.) 12.5D.) 200А

Answer 1

We are given two similar quadrilaterals ABCD and WXYZ

Recall that if two quadrilaterals are similar then corresponding sides are in the same proportion.

So we can write,

`(AD)/(WZ)=(DC)/(ZY)`

Let us substitute the given values and solve for ZY

`\begin{gathered} (12)/(50)=(3)/(ZY) \\ ZY\cdot12=50\cdot3 \\ ZY=(50\cdot3)/(12) \\ ZY=(150)/(12) \\ ZY=12.5 \end{gathered}`

Therefore, the length of side ZY is 12.5

The correct option is C.