Quadrilaterals Unit Test

If ACFG is a parallelogram with $m\angle CAG=\left(8a+13\right)\degree$ and  $m\angle ACF\left(4a+23\right)\degree$ , find  $m\angle ACF$ . 

•  $109\degree$  

•  $12\degree$  

•  $33\degree$  

•  $71\degree$  

In the parallelogram, $AX=4y+3$  and  $XF=2y+7$ , find the value of y.

• 5

• 2

• 2/3

• 11

In rectangle RSTU, if $m\angle1=62\degree$ , find  $m\angle2$ .

•  $59\degree$  

•  $28\degree$  

•  $14\degree$  

•  $62\degree$  

In rectangle RSTU, if  $XT = 3y-1$  and  $US=28$ , find the value of y.

• 2

• 5

• 4

• 14

ABCD is a rhombus. Find BC.

• 28 un

• 46 un

• 53 un

• 12 un

Quadrilateral ABCD is a rhombus and  $m\angle BCE=54\degree$ , find  $m \ angle1$ .

•  $54\degree$  

•  $64\degree$  

•  $36\degree$  

•  $90\degree$  

GEOM is a square. Find $m\angle GQE$ .

•  $30\degree$  

•  $45\degree$  

•  $90\degree$  

•  $60\degree$  

GEOM is a square. $QE=7$ units, find EO.

• 7.7 units

• 9.9 units

• 7 units

• 4.9 units

The measure of the bases of a trapezoid are 14 and 20. What is the measure of the median (midsegment) of the trapezoid?

WXYZ is an isosceles trapezoid with WX parallel to ZY. If $m\angle WZY=\left(2a-24\right)\degree$ 

and  $m\angle XYZ=\left(a+37\right)\degree$ , find  $m\angle XYZ$ . 

•  $98\degree$  

•  $55.7\degree$  

•  $102.7\degree$  

•  $61\degree$