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Worksheets

Quadrilaterals

Total questions: 25

Worksheet time: 27mins

Name
Class
Date
1.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.

The diagonals of a rectangle bisect each other.

a)

True

b)

create 90°90\degree  with

c)

are parallel with

d)

are perpendicular with

2.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


The diagonals of a rhombus bisect each other and are perpendicular.

a)

True

b)

parallel

c)

congruent

d)

similar

3.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


The median of a trapezoid is twice the sum of the bases.

a)

True

b)

half the sum

c)

one-fourth of the sum

d)

four times the sum

4.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


The diagonals of a quadrilateral always intersect.

a)

True

b)

are always perpendicular.

c)

are always parallel.

d)

do not always intersect.

5.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


A square is a equilateral rhombus.

a)

True

b)

equidistant

c)

straight

d)

equiangular

6.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


If the diagonals of a parallelogram are congruent and perpendicular, then the parallelogram is a rectangle.

a)

True

b)

trapezoid

c)

rhombus

d)

kite

7.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


Two pairs of adjacent sides of a kite are congruent.

a)

True

b)

perpendicular

c)

parallel

d)

larger.

8.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


A rectangle is an equiangular rhombus.

a)

True

b)

kite

c)

square

d)

trapezoid

9.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


The diagonals of a kite are congruent.

a)

True

b)

similar

c)

parallel

d)

perpendicular

10.

Choose TRUE if the underlined word/phrase expresses a correct idea. If not, choose the word/phrase that will correct the underline word.


The bases of an isosceles trapezoid are congruent.

a)

True

b)

legs of an isosceles

c)

bases of a scalene

d)

legs of an equilateral

11.

Given the set of conditions, specify what type of quadrilateral is ARVI.

Conditions:

 INRN and VNAN\overline{IN}\cong\overline{RN}\ and\ \overline{VN}\cong\overline{AN}  



(a)  

12.

Given the set of conditions, specify what type of quadrilateral is ARVI.

Conditions:

 AIVVRA and IARRVI\angle AIV\cong\angle VRA\ and\ \angle IAR\cong\angle RVI  



(a)  

13.

Given the set of conditions, specify what type of quadrilateral is ARVI.

Conditions:

 ARAI and IVRV\overline{AR}\cong\overline{AI}\ and\ \overline{IV}\cong\overline{RV}  



(a)  

14.

Given the set of conditions, specify what type of quadrilateral is ARVI.

Conditions:

 AR  VI , AI  RV  and mRNA =90°\overline{AR}\ \parallel\ \overline{VI}\ ,\ \overline{AI}\ \parallel\ \overline{RV}\ \ and\ m\angle RNA\ =90\degree  



(a)  

15.

Given the set of conditions, specify what type of quadrilateral is ARVI.

Conditions:

 A V and RI\angle A\ \cong\angle V\ and\ \angle R\cong\angle I  



(a)  

16.

In trapezoid STUL, ST = 16cm, TA = 9cm , UL = 34cm, and

 mT =110°m\angle T\ =110\degree  .

What is PA?



(a)  

17.

In trapezoid STUL, ST = 16cm, TA = 9cm , UL = 34cm, and

 mT =110°m\angle T\ =110\degree  .

What is SU?



(a)  

18.

In trapezoid STUL, ST = 16cm, TA = 9cm , UL = 34cm, and

 mT =110°m\angle T\ =110\degree  .

What is AL?



(a)  

19.

In trapezoid STUL, ST = 16cm, TA = 9cm , UL = 34cm, and

 mT =110°m\angle T\ =110\degree  .

What is  mSm\angle S ?



(a)  

20.

In trapezoid STUL, ST = 16cm, TA = 9cm , UL = 34cm, and

 mT =110°m\angle T\ =110\degree  .

What is  mLm\angle L ?



(a)  

21.

CL = 36 and ON = 7x + 4. Determine the value of x

(a)  

22.

 mCMO=34° and mCOM=(2x+6)°m\angle CMO=34\degree\ and\ m\angle COM=\left(2x+6\right)\degree  Determine the value of x.

(a)  

23.

 mLNO=112° and mLNM=(7x2)°m\angle LNO=112\degree\ and\ m\angle LNM=\left(7x-2\right)\degree  Determine the value of x.



(a)  

24.

 mBEA=5x10m\angle BEA=5x-10  
Determine the value of x.

(a)  

25.

 mADE=3x+7m\angle ADE=3x+7  and  mCDE=5x11m\angle CDE=5x-11  
Determine the value of x.



(a)