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Unit 6 Polygons and Quadrilaterals Review

Total questions: 79

Worksheet time: 3hrs 14mins

Name
Class
Date
1.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
2.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
3.
The sum of the exterior angles of a polygon is __________________ where n is the number of sides.
a)
360
b)
n
c)
(n - 2)180
d)
(n - 1)180
4.
What is the formula for the sum of the interior angles of a polygon?
a)
S = (n-2)
b)
S = (n-2) 180
c)
S = 360 / n
d)
S = (n-2) 360
5.
What is the measure of each exterior angle of a regular octagon?
a)
45 degrees
b)
360 degrees
c)
1080 degrees
d)
135 degrees
6.
Find the value of x
a)
87°
b)
54°
c)
101°
d)
92°
7.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
8.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
9.
Find the measure of angle b.
a)
b = 51
b)
b = 129
10.
Is the figure a polygon? What type?
a)
No, Quadrilateral
b)
Yes, Hexagon
c)
Yes, Octagon
d)
No, Octagon
11.
Which of these figures are considered polygons?
a)
a, b, c, d
b)
b, d, e, f
c)
a, b, c
d)
a, e, f
12.
Solve for X
a)
22
b)
16
c)
40
d)
35
13.
Determine whether the figure is a parallelogram.  If so, state the reason.
a)
Yes, quadrilateral with 2 pairs of opposite sides ≅
b)
Yes, quad with any ∠ supplementary to both consecutive ∠s
c)
Yes, quad with 1 pair of opposite sides || and ≅
d)
not a parallelogram
14.
Determine whether the figure is a parallelogram.  If so, state the reason.
a)
Yes, quadrilateral with 2 pairs of opposite sides ≅
b)
Yes, quad with 2 pair of opposite angles ≅
c)
Yes, quad with 1 pair of opposite sides || and ≅
d)
not a parallelogram
15.
Determine whether the figure is a parallelogram.  If so, state the reason.
a)
Yes, quadrilateral with 2 pairs of opposite sides ≅
b)
Yes, quad with any ∠ supplementary to both consecutive ∠s
c)
Yes, quad with 1 pair of opposite sides || and ≅
d)
not a parallelogram
16.
All parallelograms have __________ sides.
a)
2
b)
4
c)
6
d)
8
17.
Is there enough information to determine that this quadrilateral is a parallelogram?
a)
yes
b)
no
18.

Graph the following coordinates M(-6,0) A(-4,3) T(-1,1) HY(-1,-2). Do they form a parallelogram? Check by using the slope formula.

a)

Yes

b)

No

c)

Can not be determined

19.
Given: TUVW is a parallelogram.
Find m∠2.
a)
62
b)
28
c)
90
d)
78
20.
Given CUBS is a parallelogram
Find x and y
a)
x = 26 ; y = 16
b)
x = -22 ; y = -16
c)
x = 4.18 ; y = 1.45
d)
x = 4 ; y = 8
21.
Given KJML is a parallelogram and m∠KJM = 102°
Find m∠LMJ
a)
78
b)
90
c)
102
d)
180
22.

Comedian from SNL.

a)

Flo Rida

b)

Post Malone

c)

Pete Davidson

d)

Rick Stanford

23.
The diagonals of a rhombus...
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
24.
Diagonals bisect the angles of a Square
a)
True
b)
False
25.
a)
90
b)
23
c)
22
d)
180
26.

The diagonals of square TUVS intersect at W.

If TW = 2x + 6 and US = 6x – 10, find US (not just x!).

Hint: You cannot just set 2x + 6 = 6x - 10...

a)

11

b)

28

c)

56

d)

90

27.

SRQP is a rhombus. If SQ=24 and RP=10, find SR.

a)

26

b)

13

c)

12

d)

5

28.
Find the measure of angle 1
a)
54
b)
108
c)
72
d)
36
29.
Given Rhombus TUVW. Find m∠4.
a)
62
b)
28
c)
90
d)
78
30.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
31.
A rhombus is a parallelogram with...
a)
four congruent angles
b)
four right angles
c)
four congruent sides
d)
two congruent sides
32.
A square is a parallelogram with...(read all options before selecting)
a)
four right angles
b)
four congruent sides
c)
four right angles and four congruent sides
d)
none of the above
33.
Find the measure of angle 2
a)
68
b)
22
c)
136
d)
44
34.
A parallelogram that is both a rhombus and a rectangle is called a __________.
a)
Quadrilateral
b)
Parallelogram
c)
Trapezoid
d)
Square
35.
Which quadrilateral does not have diagonals that are perpendicular?
a)
Rectangle
b)
Rhombus
c)
Square
d)
Kite
36.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
37.
Figure A can best be classified as a...
a)
Rectangle
b)
Square
c)
Rhombus
38.
Figure B can best be classified as a...
a)
Rectangle
b)
Square
c)
Rhombus
39.
Figure C can best be classified as a...
a)
Rectangle
b)
Square
c)
Rhombus
40.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
41.
A square has all the properties of a
a)
parallelogram
b)
rectangle
c)
rhombus
d)
parallelogram, rectangle, and rhombus
42.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
43.
Diagonals are congruent in all  ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
44.
Diagonals are perpendicular in all  ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
45.

Famous Comedian, now deceased.

a)

Pit Bull

b)

Sinbad

c)

Richard Pryor

d)

David Cross

46.

Which of the following are properties of an isosceles trapezoid

a)

At least one pair of parallel sides

b)

Diagonals are congruent

c)

Legs are congruent

d)

Base Angles are congruent

47.

ABCD is a trapezoid, what is true about <ABC and <BCD?

a)

Consecutive interior, congruent

b)

Consecutive interior, supplementary

c)

Alternate interior, congruent

d)

Alternate interior, supplementary

48.

ABCD is an isosceles trapezoid, what is true about AD and BC?

a)

They are legs, so they are congruent

b)

They are diagonals, so they are congruent

c)

They are base angles, so they are congruent

d)

They are alternate interior angles, so they are congruent

49.

ABCD is an isosceles trapezoid, what is true about <ADC and <BCD?

a)

They are legs, so they are congruent

b)

They are diagonals, so they are congruent

c)

They are base angles, so they are congruent

d)

They are alternate interior angles, so they are congruent

50.

ABDC is a trapezoid. What is true about <ABC and <BCD?

a)

Alternate Interior, so they are congruent

b)

Alternate interior, so they are supplementary

c)

Consecutive interior, so they are congruent

d)

Consecutive interior, so they are supplementary

51.
Given the kite, solve for ZY
a)
5.56
b)
8
c)
9.43
d)
7.86
52.
Given the kite, solve for WP
a)
4.47
b)
7.21
c)
8
d)
6
53.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
54.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
55.
The diagonals in an isosceles trapezoid are _______.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
56.
Find AB.
a)
11
b)
22
c)
None of these
d)
10.5
57.
What is the measure of angle 1?
a)
48
b)
101
c)
105.5
d)
360
58.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
59.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
60.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
61.
Solve for x in the rectangle.
a)
25
b)
20
c)
30
d)
25/3
62.
The following coordinates correspond to 3 vertices of a trapezoid: M(-2, -7), J(-3, -3), K(7, -3). Which of the following coordinates could represent the 4th vertex?
a)
L(3, -3)
b)
L(4, -8)
c)
L(6, -7)
d)
L(5, -3)
63.
Which of the following statements is true?
a)
the diagonals bisect each other
b)
the diagonals are congruent
c)
∠B and ∠D  are congruent
d)
DB bisects AC
64.
Which of the following statements about a kite is false?
a)
one diagonal bisects the other diagonal
b)
two angles are congruent
c)
the diagonals form 4 congruent triangles
d)
the diagonals are perpendicular
65.
Choose the correct country
a)
the USA
b)
Australia 
c)
Great Britain 
66.
Choose
a)
Italy 
b)
Spain 
c)
Russia
67.
Choose
a)
Belgium
b)
Brazil 
c)
Germany 
68.
Largest country in the world
a)
China
b)
Canada
c)
Asia
d)
Russia
69.
Country with the greatest population
a)
Russia
b)
China
c)
India
d)
Asia
70.
Largest ocean
a)
Atlantic Ocean
b)
Indian Ocean
c)
Arctic Ocean
d)
Pacific Ocean
71.
Largest continent
a)
Asia
b)
Africa
c)
Russia
d)
North America
72.
Only country that is also a continent
a)
Antarctica
b)
Australia
c)
Alaska
d)
America
73.
a)
Olivia Holt 
b)
Dove Cameron 
c)
Laura Marano
d)
Zendaya Coleman
74.
a)
Demi Lovato  
b)
KBJLNHB
c)
nklclfwb
d)
Selena Gomez
75.
Who said,
“Laugh it up, fuzzball.”
a)
Princess Leia Organa
b)
Han Solo
c)
Lando Calrissian
d)
Jar Jar Binks
76.
On what planet does Jabba the Hutt live?
a)
Bespin
b)
Coruscant
c)
Tattooine
d)
Alderaan
77.

A major climate report says we must

a)

increase natural gas emissions

b)

decrease households' temperatures

c)

reduce greenhouse gas emissions

d)

increase the use of coal

78.
What color of star is the hottest?
a)
Blue
b)
Red
c)
Yellow
d)
Orange
79.
What is the name of the explosion at the death of a massive star?
a)
Supergiant
b)
Supernova
c)
Black Hole
d)
Nebula

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