Question

1. in rhombus wxyz, wx=26, wy=20 and xz=48. find each measure indicated below.

m∠1 =

m∠6 =

xv =

m∠2 =

m∠7 =

wz =

m∠3 =

m∠8 =

xy =

m∠4 =

m∠wxy =

zy =

m∠5 =

m∠xyz =

vy =

Explanation:

Step1: Properties of a rhombus

In a rhombus, all sides are equal. So \(WZ = ZY= YX = XW\). Given \(WX = 26\), so \(WZ=ZY = YX=XW = 26\).

Step2: Diagonals of a rhombus

The diagonals of a rhombus bisect each other. Given \(WY = 20\), so \(XV=\frac{WY}{2}=10\). Given \(XZ = 48\), so \(VY=\frac{XZ}{2}=24\).

Answer:

\(WZ = 26\), \(ZY = 26\), \(YX = 26\), \(XW = 26\), \(XV = 10\), \(VY = 24\)