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Quadrilaterals

Total questions: 40

Worksheet time: 57mins

Name
Class
Date
1.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

2.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

3.
A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides. 
a)
trapezoid
b)
rhombus
c)
parallelogram
d)
rectangle
4.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

5.

Opposite angles are supplementary (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Isosceles Trapezoid

6.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
7.
Solve for the variables.
a)
g=61, h=25
b)
g=60, h=9
c)
g=61, h=9
8.

Which of the following is not a property of a rhombus?

a)

Diagonals bisect corner angles

b)

Diagonals are perpendicular

c)

4 right angles

d)

4 congruent sides

9.

Given parallelogram ABCD with

m∠B = 5x and m∠C = 3x+4.

Find the number of degrees in ∠D.

a)

70

b)

110

c)

73

d)

115

10.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

a)

8

b)

12

c)

16

d)

24

11.

Given trapezoid ABCD with median (labeled as shown).

Find EF.

a)

8

b)

14

c)

17

d)

19

12.

Identify the quadrilateral below using the most specific classification.

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

13.

Identify the quadrilateral below using the most specific classification.

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

14.

Identify the quadrilateral below using the most specific classification.

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

15.
Base angles of an isosceles trapezoid are _____.
a)
neither
b)
supplementary
c)
congruent
16.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
17.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
18.
Find the value of x.
a)
23
b)
28
c)
30
d)
Cannot be determined
19.
Find the Median if AB= 12, CD= 23. 
a)
35
b)
17.5 
c)
no median 
d)
17
20.
Find AB. Median=13, CD=21
a)
no median 
b)
17
c)
28
d)
5
21.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
22.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
23.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
24.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
25.
Angles  a and e are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
26.
Which is the correct reason for statement 2 in the proof?
a)
Given
b)
Transitive Property
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
27.
Angles  e and d are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
28.
Which symbol means "perpendicular"?
a)
∏
b)
∥
c)
∠
d)
⊥
29.
a)

Corresponding

b)

Alt Ext Angle

c)

vertical

d)

Alt Int Angle

30.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
31.
What are the 2 missing pieces of information?
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
32.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

33.

What are the two columns labeled in a proof?

a)

Reasons / Proof

b)

Statements / Postulates

c)

Reasons / Given

d)

Statements / Reasons

34.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
35.
Two consecutive angles in a parallelogram have measures of 3x-2 and 4x+7. What is the value of x?
a)
-9
b)
26
c)
25
d)
5
36.
What is the value of angle F?
a)
9
b)
12
c)
90
d)
110
37.
What is the sum of a Quadrilaterals interior angles?
a)
180
b)
360
c)
400
d)
240
38.

Fill in the missing reason for the proof.

a)

Opposite angles are congruent.

b)

Alternate interior angles formed by parallel lines are congruent.

c)

Vertical angles are congruent.

d)

CPCTC

39.

Fill in the missing reason for the proof.

a)

If alternate interior angles are congruent, then the lines are parallel.

b)

Definition of parallelogram

c)

Definition of parallel lines

d)

Opposite sides of a parallelogram are congruent.

40.

Fill in the missing reasons for the proof.

a)

5) Alternate Interior angles are congruent; 6) ASA

b)

5) Alternate Interior angles are congruent; 6) AAS

c)

5) Vertical Angles are congruent; 6) ASA

d)

5) Vertical Angles are congruent; 6) AAS

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