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Quadrilaterals Unit Test

Total questions: 13

Worksheet time: 8mins

Name
Class
Date
1.

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

a)

 109°109\degree  

b)

 12°12\degree  

c)

 33°33\degree  

d)

 71°71\degree  

2.

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

a)

5

b)

2

c)

2/3

d)

11

3.

In rectangle RSTU, if m∠1=62°m\angle1=62\degree , find  m∠2m\angle2 .

a)

 59°59\degree  

b)

 28°28\degree  

c)

 14°14\degree  

d)

 62°62\degree  

4.

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

a)

2

b)

5

c)

4

d)

14

5.

ABCD is a rhombus. Find BC.

a)

28 un

b)

46 un

c)

53 un

d)

12 un

6.

Quadrilateral ABCD is a rhombus and  m∠BCE=54°m\angle BCE=54\degree , find  m∠1m \ angle1 .

a)

 54°54\degree  

b)

 64°64\degree  

c)

 36°36\degree  

d)

 90°90\degree  

7.

GEOM is a square. Find m∠GQEm\angle GQE .

a)

 30°30\degree  

b)

 45°45\degree  

c)

 90°90\degree  

d)

 60°60\degree  

8.

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

a)

7.7 units

b)

9.9 units

c)

7 units

d)

4.9 units

9.

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

(a)  

10.

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

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

a)

 98°98\degree  

b)

 55.7°55.7\degree  

c)

 102.7°102.7\degree  

d)

 61°61\degree  

11.

Find the value of x in the kite shown.

(a)  

12.

Find the perimeter of the kite. Round your answers to the nearest hundredth.

a)

5.83 units

b)

10.07 units

c)

20.14 units

d)

14.00 units

13.

Which quadrilaterals have two pairs of opposite parallel sides? Select all that apply.

a)

parallelograms

b)

rectangles

c)

rhombuses

d)

isosceles trapezoids

e)

kites