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Final Exam Review

Total questions: 67

Worksheet time: 11hrs 10mins

Name
Class
Date
1.
Find the measure of ONE exterior angle of a regular decagon.
a)
36
b)
10
c)
18
d)
40
2.
Find the measure of ONE interior angle of a regular dodecagon.
a)
150
b)
120
c)
1800
d)
20
3.
A polygon with six sides is called a(n) ______________.
a)
hexagon
b)
pentagon
c)
decagon
d)
septagon
4.
A polygon with 5 sides is called a(n) _____________.
a)
pentagon
b)
hexagon
c)
septagon
d)
quadrilateral
5.
A polygon with 8 sides is called a(n) __________________.
a)
octagon
b)
decagon
c)
heptagon
d)
dodecagon
6.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
7.
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
8.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
9.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
10.
Solve for x. 
a)
100
b)
120
c)
125
d)
130
11.

Find the measure of one interior angle in regular 25-gon. Round your answer to the nearest tenth if necessary.

a)

164.3⁰

b)

167.1⁰

c)

165.6⁰

d)

166.7⁰

12.

Find the measure of one exterior angle in the regular polygon. Round your answer to the nearest tenth if necessary.

a)

32.7⁰

b)

90⁰

c)

45⁰

d)

60⁰

13.

Find the measure of one exterior angle in a regular nonagon. Round your answer to the nearest tenth if necessary.

a)

27.7⁰

b)

60⁰

c)

72⁰

d)

40⁰

14.

What is the sum of the measures of the exterior angles of a decagon?

a)

1440⁰

b)

360⁰

c)

144⁰

d)

1800⁰

15.

Find the value of x.

a)

540⁰

b)

121⁰

c)

134⁰

d)

360⁰

16.

In the Polygon Interior Angle Sum Theorem, what does nn  represent?

a)

The measure of the largest interior angle

b)

The number of sides of the polygon

c)

Nothing

d)

The number of triangles that compose the polygon

17.

How many sides would an irregular polygon have if the  interior angle sum is 1800°1800\degree  ?

a)

20 sides

b)

21 sides

c)

12 sides

d)

180 sides

18.

If a five sided irregular polygon has the following known exterior angles measures:
36°36\degree   124°124\degree   74°74\degree   56°56\degree  
What is the fifth exterior angle measure?

a)

70°70\degree  

b)

71°71\degree  

c)

10°10\degree  

d)

0°0\degree  

19.
A polygon's interior angles add up to 2700.  How many sides does the polygon have?
a)
17
b)
15
c)
19
d)
11
20.
What is the SUM of the angle measures in a 35-gon?
a)
180°
b)
5940°
c)
1080°
d)
169.71°
21.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
22.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
23.
Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3
a)
x2+y2=4
b)
x2+y2=81
c)
x2+y2=9
24.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
25.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
26.
Which graph corresponds to 
(x-8)2+ (y+2)2=
a)
A
b)
B
c)
C
d)
D
27.
What is the equation of the circle, with centre (-4,5) and radius 6 units?
a)
(x - 4)2 + (y + 5)2 = 6
b)
(x - 4)2 + (y + 5)2 = 36
c)
(x + 4)2 + (y - 5)2 = 6
d)
(x + 4)2 + (y - 5)2 = 36
28.
Is the point (3 , 5) inside, outside or on the circle with equation x2 + y2 = 9?
a)
Inside the Circle
b)
Outside the Circle
c)
On the Circle
29.

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

a)

( x - 5 )2 + ( y + 8 )2 = 14

b)

( x - 5 )2 + ( y - 8 )2 = 49

c)

( x - 5 )2 + ( y + 8 )2 = 49

d)

( x + 5 )2 + ( y - 8 )2 = 49

30.
What is the equation of a circle with radius 4 and center (0, 8)?
a)
x2 + (y-8)2 = 16
b)
(x-8)2 + y2 = 4
c)
x2 + (y-8)2 = 4
d)
x2 + (y+8)2 = 16
31.
A ________ is any polygon that has 4 sides.
a)
square
b)
parallelogram
c)
quadrilateral
d)
trapezoid
32.
Which quadrilateral is NOT a parallelogram?
a)
rectangle
b)
square
c)
trapezoid
d)
rhombus
33.
All squares are rectangles.
a)
True
b)
False
34.
A rhombus is always a square.
a)
True
b)
False
35.
A ________ is a polygon with 4 right angles and 4 equal sides.
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
36.
A shape that has all of the attributes of a quadrilateral, parallelogram, rhombus, and rectangle is a-
a)
triangle
b)
pentagon
c)
octagon
d)
square
37.
Define parallelogram
a)
a quadrilateral with exactly one pair of parallel sides 
b)
multiple quadrilaterals with 4 congruent sides
c)
a polygon with opposite sides parallel and congruent
d)
a quadrilateral with 4 right angles and opposite sides are congruent
38.
This image shows
a)
rhombi
b)
square
c)
parallelogram
d)
trapezoid
39.
Complete the attributes of a rectangle. 
Opposite sides are __________________.
a)
Parallel
b)
Unequal
c)
Equal
d)
Perpendicular
40.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
41.
Define parallelogram
a)
a quadrilateral with exactly one pair of parallel sides 
b)
multiple quadrilaterals with 4 congruent sides
c)
a polygon with opposite sides parallel and congruent
d)
a quadrilateral with 4 right angles and opposite sides are congruent
42.
What are two attributes that we use to classify polygons?
a)
sides and edges
b)
length and angles
c)
sides and angles
d)
vertices and faces
43.

What is this shape?

a)

Square

b)

Trapezoid

c)

Rhombus

d)

Parallelogram

44.

What is this shape? (Same colors means congruent measures)

a)

Rectangle

b)

Trapezoid

c)

Rhombus

d)

Isosceles Trapezoid

45.

What is this shape? (Same color means congruent measures)

a)

Trapezoid

b)

Isosceles Trapezoid

c)

Parallelogram

d)

Rhombus

46.

What proves that this shape is not a rhombus?

a)

Opposite sides are not congruent

b)

All angles are 90 degrees

c)

All sides are not congruent

d)

It doesn't look like a diamond

47.

Which statement fully proves that this quadrilateral is a square?

a)

Opposite sides are congruent and all angles are 90 degrees

b)

All sides are congruent and all angles are 90 degrees

c)

All sides are congruent and adjacent angles are supplementary

d)

All angles are congruent and opposite sides are congruent

48.
a)
40 in2
b)
40
c)
40 in
d)
4 in2
49.
a)
16 yd3
b)
16 yd2
c)
16 yd
d)
1 yd
50.
How do you find the area of a rectangle?
a)
Length + Length + Length + Length
b)
Length + Width
c)
Length x Width
d)
Width x Width
51.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
52.
The area of a rectangle is 49 sq. in.  One side length is 7 in.  What is the other side length?
a)
9 in.
b)
10 cm.
c)
3 in.
d)
7 in.
53.
Mrs. Davis wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?
a)
20 feet
b)
40 ft
c)
96 square feet
d)
40 square feet
54.
Eriasia wanted to put down new tile in her bathroom. Her bathroom had a width of 10 ft and a width of 9 feet. How many square feet of tile should she buy?
a)
90 square feet
b)
19 square feet
c)
38 square feet
55.
Find the area of the triangle pictured.  
a)
22.5 cm2
b)
45 cm2
c)
15.75 cm2
d)
31.5 cm2
56.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
57.

Find the area of a triangle if the base is 3 and the height is 6.

a)

9 cm2

b)

18 cm2

c)

9 cm

d)

18 cm

58.

Find the area of the triangle.

a)

165 cm2

b)

120 cm2

c)

88 cm2

d)

44 cm2

59.

What is the base of a triangle if A = 40cm2 and h = 10cm.

a)

4

b)

5

c)

8

d)

2

60.

Alex is building a shelf shaped like a triangle. He wants the height to equal 8 and the area to equal 72. What will b equal?

a)

9 cm

b)

9 cm2

c)

18 cm

d)

18 cm2

61.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
62.
Find the area
a)
430 in2
b)
215 in2
c)
41.5 in2
d)
1.5 in2
63.
What is the area?
a)
12 cm2
b)
14
c)
14 cm2
d)
24 cm2
64.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
65.
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
66.
a)
4 km2
b)
16 km2
c)
64 km2
d)
8 km2
67.
a)
16 square inches
b)
12 square inches
c)
24 square inches
d)
48 square inches

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