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Grade 5-9 Geometry Review

Total questions: 160

Worksheet time: 5hrs 9mins

Name
Class
Date
1.

What is the perimeter of the rectangle?

(a)  

2.

A square has a side length of 15 centimeters. What is its perimeter?

(a)  

3.

What is the area of the triangle?

a)

15 sq. cm.

b)

30 sq. cm.

c)

60 sq. cm.

d)

23 sq. cm.

4.

What is the area of the rectangle?

a)

24 sq. cm.

b)

10 sq. cm.

c)

20 sq. cm.

d)

12 sq. cm.

5.

What is the area of the trapezoid?

(Show me your work for up to 2 bonus tickets)

(a)  

6.

Convert 90 miles per hour to feet per second.

1 mile = 5280 feet

1 hour = 3600 seconds

a)

132 feet per second

b)

7920 feet per second

c)

18 feet per second

d)

61.37 feet per second

7.

Convert 34 dimes to nickels

(a)  

8.

What is the circumference of a circle with radius 20 inches to the nearest hundredth?

(Calculate using π = 3.14)

a)

125.66 inches

b)

62.83 inches

c)

1256.64 inches

d)

5026.55 inches

9.

What is the diameter of a circle with a circumference of 22 centimeters to the nearest hundredth?

(Calculate using π = 3.14)

a)

7.00 cm

b)

69.12 cm

c)

138.23 cm

d)

3.50 cm

10.

Given segment NK is a diameter of circle R, what is the measure of arc OK?

a)

138

b)

42

c)

89

d)

180

11.

Given segment NK is a diameter of circle R, what is the measure of angle NRT?

a)

138

b)

42

c)

89

d)

131

12.

Complete the Pythagorean Triple

5, ___, 13

a)

12

b)

8

c)

7

d)

9

13.

Find the value of a.

a)

15

b)

32.02

c)

225

d)

5

14.

What is the relationship between angle 12 and angle 10? Select all that apply.

a)

Congruent

b)

Supplementary

c)

Alternate Interior

d)

Alternate Exterior

15.

What is the relationship between angle 5 and angle 8? Select all that apply.

a)

Congruent

b)

Supplementary

c)

Alternate Interior

d)

Alternate Exterior

16.

Given segment NK is a diameter of circle R, what is the measure of arc OT?

a)

138

b)

42

c)

89

d)

131

17.

Vertical Angles are...

a)

complementary

b)

supplementary

c)

congruent

d)

none of these

18.

The interior angles of a triangle add to (a)   degrees.

19.

An angle bisector cuts an angle into two pieces that are NOT congruent.

a)

True

b)

False

20.

What type of angles are highlighted above?

a)

Alternate Exterior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Interior Angles

21.

What is the length of DE?

(a)  

22.
What is an "Acute" Angle
a)
Angle that measures 180
b)
An Angle that measure 90
c)
An angle that measures more than 90
d)
An angle that measures less than 90
23.
Angles whose measure sum up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
24.
 What is the name of this polygon?
a)
a pentagon
b)
a quadrilateral
c)
an octagon
d)
a triangle
25.

Which is a pair of corresponding angles?

a)
Angle 1 & Angle 4
b)
Angle 2 & Angle 7
c)
Angle 8 & Angle 6
d)
Angle 3 and Angle 5
26.

Name 3 collinear points.

a)

S, Q, R

b)

T, Q, R

c)

S, Q, P

d)

P, Q, R

27.

I am an angle that measures exactly

90 degrees. What type of angle am I?

a)

acute

b)

obtuse

c)

right

d)

straight

28.

Parallel lines have the ______ slope.

a)

opposite reciprocal

b)

same

c)

negative

29.

Solve for x. (Just type the number, not x = )

(a)  

30.

True or False: Points A, B, and C are ​collinear.

​ (a)  

Choose from the below words
False
True
31.

True or False: Points A, B, and C are ​coplanar.

​ (a)  

Choose from the below words
False
True
32.

What is described as a straight path that goes on forever in both directions?

a)

perpendicular line

b)

ray

c)

parallel line

d)

line

33.

Which term describes lines that cross each other at exactly 90 degrees?

a)

intersecting lines

b)

perpendicular lines

c)

parallel lines

d)

line segment

34.

What is a line segment?

a)

A straight path that goes on forever in one direction

b)

A location on a plane, named with a capital letter

c)

A straight path between 2 endpoints

d)

Lines that never cross

35.

a set of points that form a straight path that goes in opposite directions without ending...

a)

line

b)

width

c)

perimeter

d)

intersecting lines

36.
What kind of lines are shown?
a)
parallel lines
b)
perpendicular lines
c)
straight lines
d)
open lines
37.

What type of lines are shown?

a)

parallel lines

b)

intersecting lines

c)

right angles

d)

perpendicular lines

38.

Oscar draws two lines on his paper. The lines are always one inch apart and do not intersect. ​ (a)   can be used to name what Oscar drew.

Choose from the below words
Parallel

Right

Obtuse

Perpendicular

Intersecting

39.

What is the measure of a straight angle?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

40.

These line segments appear to be...

a)

perpendicular

b)

intersecting

c)

cute

d)

parallel

41.
What does the image show? 
a)
parallel lines
b)
intersecting lines
c)
perpendicular lines
d)
a point
42.

Match the following

a)
1.

Parallel lines

b)
2.

Perpendicular lines

c)
3.

Intersecting lines

43.

Match the following types of lines

a)
1.

parallel lines

b)
2.

Ray

c)
3.

Line

d)
4.

Intersecting lines

e)
5.

Perpendicular line

44.
A part of a line with two endpoints.
a)
line segment
b)
line of symmetry
c)
ray
d)
line
45.

A line extends in _______ directions and never ends.

a)

zero

b)

one

c)

two

d)

three

46.

What is the angle formed by two perpendicular lines?

a)

45 degrees

b)

90 degrees

c)

180 degrees

d)

360 degrees

47.

Which description fits a ray?

a)

A line with one endpoint that extends infinitely in one direction

b)

A line that extends infinitely in both directions

c)

A part of a line bounded by two distinct end points

d)

Two lines that meet at a right angle

48.

Polygons are

a)

closed shapes

b)

multi-sided

c)

2D flat shapes

d)

All these answers

49.
a)

hexagon

b)

pentagon

c)

octagon

d)

tetragon

50.
a)

hexagon

b)

pentagon

c)

octagon

d)

quintagon

51.
a)

pentagon

b)

hexagon

c)

octagon

d)

decagon

52.
a)

pentagon

b)

quadrilateral

c)

hexagon

d)

trigon

53.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

54.
Find the missing angle.
a)
60°
b)
70°
c)
50°
d)
140
55.

Find the value of x.

a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
56.

Solve for x.

(Show me your work for up to 3 bonus tickets)

a)

32

b)

15

c)

13

d)

33

57.

Find the circumference of a circle with diameter = 10 ft

(Calculate using π = 3.14)

a)
3.14 ft
b)
31.4 ft
c)
314.1 ft
d)
62.8 ft
58.

Find the circumference of a circle with radius = 2 cm

(Calculate using π = 3.14)

a)
6.3 cm
b)
1.26 cm
c)
12.6 cm
d)
126 cm
59.

Find the area of the circle with radius 3 cm below.

(Calculate using π = 3.14)

a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
60.
The area of a rectangle is 72 sq units.  One side length is 9 units.  What is the other side length?
a)
9 units
b)
7 units
c)
10 units
d)
8 units
61.

What is the area of the triangle?

a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
62.

Find the area of the trapezoid.

(Show me your work for up to 2 bonus tickets)

a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
63.

Bob has a rectangular prism gift box. What is the volume of the box?

a)
The volume of Bob's gift box is 64in3.
b)
The volume of Bob's gift box is 60in3.
c)
The volume of Bob's gift box is 240in3.
d)
The volume of Bob's gift box is 24in3.
64.
How many faces are on a cube?
a)
3
b)
4
c)
5
d)
6
65.

Find the total surface area of the prism.

(Show me your work for up to 3 bonus tickets)

a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
66.

What is the area of the composite shape?

(Show me your work for up to 2 bonus tickets)

a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
67.

What is the volume of this shape? (triangular prism)

a)

40 cm³

b)

11 cm

20 cm²

c)

20 cm³

d)

30 cm³

68.

The scale of a map says that 6 cm represents 15 km.

What distance on the map represents an actual distance of 6 kilometers?

(Show me your work for a bonus ticket)

a)

3.6

b)

2.5

c)

2.4

d)

.42

69.

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

(Show me your work for a bonus ticket)

a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
70.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

(Show me your work for a bonus ticket)

a)
63 m
b)
235 m
c)
315 m
d)
630 m
71.

This scale drawing shows a parking lot. What is the area of the actual parking lot?

(Show me your work for up to 2 bonus tickets)

a)

63,000 m

b)

2302 m

c)

74,025 m

d)

2350 m

72.

Find the Area

73.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
74.

The special pair of angles shown are:

a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
75.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
76.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
77.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
78.
What is the measure of the missing angle?
a)
92
b)
102
c)
82
d)
72
79.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
7°
b)
17°
c)
83°
d)
97°
80.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
81.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
82.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
83.

What is the name of the angle formed by lines KL and ML?

a)

∠LMK

b)

∠KML

c)

∠KLM

d)

Steve

84.

What is the name of this shape?

a)

Hexagon

b)

Circle

c)

Trapezoid

85.

What is the name of this shape?

a)

Rhombus

b)

Diamond

86.
A part of a line with two endpoints
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
87.
A figure that goes on forever in both directions is
a)
Line segment
b)
Point
c)
Line
d)
Ray
88.
A part of a line that has one endpoint and goes on forever in the other direction
a)
Line
b)
Ray
c)
Line Segment
d)
Angle
89.
2 rays make up a(n)
a)
ray
b)
line segment
c)
line
d)
angle
90.
lines that never touch are
a)
Parallel
b)
Perpendicular
c)
Ray
d)
Intersecting
91.
Lines that cross and form a right angle
a)
parallel
b)
perpendicular
c)
ray
d)
intersecting
92.
.
.
What kind of intersecting lines are these?
a)
Parallel Lines
b)
Perpendicular Lines
c)
Right Lines
d)
Scalene Lines
93.
.
.
.
.
What kind of lines are these?
a)
Parallel Lines
b)
Perpendicular Lines
c)
Right Lines
d)
Scalene Lines
94.
What is a point?
a)
a straight path
b)
an exact location
c)
endless flat surface
d)
lines that cross
95.
What is the name of the GREEN line?
a)
RT
b)
RX
c)
TX
96.
A ________ is any polygon that has 4 sides.
a)
square
b)
parallelogram
c)
quadrilateral
d)
trapezoid
97.
Which quadrilateral is NOT a parallelogram?
a)
rectangle
b)
square
c)
trapezoid
d)
rhombus
98.
All squares are rectangles.
a)
True
b)
False
99.
A rhombus is always a square.
a)
True
b)
False
100.
A ________ is a polygon with 4 right angles and 4 equal sides.
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
101.
Complete the attributes of a rectangle. 
Opposite sides are __________________.
a)
Parallel
b)
Unequal
c)
Equal
d)
Perpendicular
102.

What is this shape?

a)

Square

b)

Trapezoid

c)

Rhombus

d)

Parallelogram

103.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
104.

The distance around an object can be found using:

a)

area

b)

perimeter

105.
The amount of space inside an object or figure is called:
a)
area
b)
perimeter
106.
Find the perimeter of a square that has a length of 6 in.
a)
12 in.
b)
24 in.
c)
20 in.
d)
16 in.
107.

Find the area of a parallelogram that has a length of 3 and a width of 7.

a)
21 sq. units
b)
20 sq. units
c)
10 sq. units
d)
13 sq. units
108.
What is the perimeter of this figure?
a)
12 cm
b)
32 cm
c)
24 cm
d)
20 cm
109.
What is the area of this figure?
a)
12 sq. cm
b)
32 sq. cm
c)
16 sq. cm
d)
28 sq. cm
110.

Farmer Bob needs to build a fence for his chickens.  The area he wants to build a fence around is 40 feet long and 20 feet wide.  How many feet of fence does he need to buy?

(Show me your work for a bonus ticket)

a)
800 feet
b)
120 feet
c)
60 feet
111.
Find the AREA of this figure.
a)
160 square feet
b)
160 feet
c)
160
d)
1600 feet
112.
Find the PERIMETER of this figure.
a)
20 square feet
b)
20 cm
c)
25 square feet
d)
20 cm sq.
113.
Farmer Bob's son built a track to walk his pet pig.  The track goes around the pig pen.  The pig pen is 15 feet long and 21 feet wide.  If the pig walks all the way around the track, how many feet did he walk?
a)
72 feet
b)
36 feet
c)
36 square feet
114.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
115.
What is the perimeter?
a)
24 sq cm
b)
24 cm
c)
35 sq cm
d)
35 cm
116.
What is the area of the rectangle?
a)
15 sq cm
b)
15 cm
c)
16 sq cm
d)
16 cm
117.
What is the area of a square with a length of 4 cm?
a)
16 cm
b)
16 square cm
c)
8 cm
d)
8 square cm 
118.
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
119.

What is the formula for area of a rectangle?

a)
A = bh
b)
A = w-h
c)
h+w = A
d)
h÷b = A
120.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
121.
Find the area:
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
122.
How do you find the AREA of a TRIANGLE?
a)
Length x Width
b)
Base x Height divided by 2
c)
1/3 (Length x width)
d)
Base x Height
123.
The distance halfway across the circle is called the...
a)
radius
b)
diameter
c)
circumference
d)
area
124.

A rectangle has an area of 54 square inches. The width of the rectangle is 9 inches. What is the length of the rectangle?

a)

6 in.

b)

45 in.

c)

3 in.

d)

12 in.

125.

The area of a trapezoid is 253 square centimeters. The longer base of the trapezoid is 14 centimeters. The shorter base of the trapezoid is 8 centimeters. What is the height of the trapezoid? (Show me your work for up to 2 bonus tickets)​ (a)  

Choose from the below words
13 cm.
11.5 cm
5.75 cm
23 cm.
126.

A parallelogram has a base of 18 inches and an area of 405 square inches. What is the height of the parallelogram?

a)

45 in.

b)

11.25 in.

c)

22.5 in.

d)

Not here

127.

A triangle has a height of 34 inches and an area of 408 square inches. What is the base of the triangle?

128.

What is the area of the figure below?

a)

26 cm226\ cm^2

b)

14 cm214\ cm^2

c)

28 cm228\ cm^2

d)

Not here

129.

What is the volume of the figure below?  

(only enter numeric value)

130.

For storage, Kim uses boxes like the one shown below.

If Kim uses 2 of these boxes, what is the total volume for storage?

a)

50 cubic feet

b)

100 cubic feet

c)

40 cubic feet

d)

80 cubic feet

131.

What is the base of a parallelogram whose area is 198 square centimeters?

132.

What is the area of the figure below?

(Show me your work for up to 2 bonus tickets)

a)

100 cm²

b)

348 cm²

c)

174 cm²

d)

147 cm²

133.

Quadrilaterals always have

a)

4 sides

b)

2 sets of parallel lines

c)

4 right angles

d)

4 equal sides

134.

What is the vocabulary word for this image.

a)

line

b)

point

c)

line segment

d)

ray

135.

Which of these are all quadrilaterals?

a)

rectangle, square, triangle, trapezoid

b)

rectangle, trapezoid, square, parallelogram

c)

square, trapezoid, circle, rectangle

d)

pentagon, square, rectangle, parallelogram

136.

What kind of angle is this?

a)

right angle

b)

obtuse angle

c)

acute angle

d)

reflex angle

137.

What kind of angle is this?

a)

reflex angle

b)

obtuse angle

c)

acute angle

d)

straight angle

138.

What term best defines these lines?

a)

parallel lines

b)

straight lines

c)

perpendicular lines

d)

intersecting lines

139.

Which angle has exactly 90 degrees?

a)

acute angle

b)

right angle

c)

obtuse angle

d)

reflex angle

140.

Which angle has less than 90 degrees?

a)

acute angle

b)

right angle

c)

obtuse angle

d)

reflex angle

141.

Which angle is greater than 90 degrees but less than 180 degrees?

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

142.

Which geometric term means the same shape and same size?

a)

similar

b)

adjacent

c)

congruent

d)

skew

143.

How many obtuse angles are in an obtuse triangle?

a)

o

b)

1

c)

2

d)

3

144.

How many degrees are in a triangle?

a)

90

b)

120

c)

180

d)

360

145.

Which triangle has all 3 sides equal?

a)

scalene triangle

b)

right triangle

c)

isosceles triangle

d)

equilateral triangle

146.

How many acute angles are in an acute triangle?

a)

0

b)

1

c)

2

d)

3

147.

Which triangle has no sides equal?

a)

scalene triangle

b)

right triangle

c)

isosceles triangle

d)

equilateral triangle

148.

What type of triangle is this picture?

a)

scalene triangle

b)

right triangle

c)

equiangular triangle

d)

obtuse triangle

149.

Which term best defines this image

a)

line

b)

ray

c)

line segment

d)

point

150.

Match the following

a)
1.

Acute Angle

b)
2.

Obtuse Angle

c)
3.

Right Angle

d)
4.

Straight Angle

151.

2. The "h" in the volume formula refers to...

a)

the base

b)

the height

c)

the length

152.
Which measurement best represents surface area?
a)
The amount of soda that fits into a can
b)
The amount of wrapping paper that is needed to wrap a present
153.

The space inside a shape is its .


(a)  
Choose from the below words
Area
Perimeter
154.

A right triangle has one angle of 90 degrees and another angle of 30 degrees. What is the measure of the third angle?

a)

30 degrees

b)

60 degrees

c)

90 degrees

d)

45 degrees

155.

A regular octagon has each side measuring 4 units. What is the perimeter of the octagon?

a)

32 units

b)

24 units

c)

40 units

d)

16 units

156.

What is the perimeter of a rectangle that is 4 cm long and 3 cm wide?

a)

14 cm

b)

12 cm

c)

10 cm

d)

8 cm

157.

What is the circumference?

a)

36

b)

56.52

c)

108

d)

113.04

158.

Find the length of the hypotenuse of a right triangle with legs of lengths 6 units and 8 units.

a)

10 units

b)

14 units

c)

12 units

d)

8 units

159.

If a square has a perimeter of 24 units, what is the length of one side of the square?

a)

4 units

b)

6 units

c)

8 units

d)

12 units

160.

Calculate the area of a triangle with base 8 cm and height 9 cm.

a)

72 cm 2^2

b)

36 cm 2^2

c)

18 cm 2^2

d)

24 cm 2^2

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