Free Printable Geometry Review

1.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

2.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

3.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

4.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

5.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

6.

.141414141414...

a)

Rational

b)

Irrational

7.

√2

a)

Rational

b)

Irrational

8.

_______ number can be written as a ratio where the numerator and denominator are integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

9.

_____________ number is a number that cannot be written as a ratio of two integers.

a)

An integer

b)

A rational

c)

An irrational

d)

A repeating

10.

What is the total area of the pink model?

a)

3 units squared

b)

4 units squared

c)

7 units squared

d)

12 units squared

11.

What is the area of this figure?

a)

1 square unit

b)

2 square units

c)

0.5 square units

d)

100 square units

12.

What is the area of this figure?

a)

2 square units

b)

1.5 square units

c)

3 square units

d)

2.5 squre units

13.

What is the area of this figure?

a)

8 square units

b)

7 square units

c)

10 square units

d)

6 square units

14.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

15.

A flat surface made up of points that has two dimensions and extends without end.

a)

Point

b)

Plane

c)

Angle

d)

Line

16.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

17.

Two lines intersect at a ....

a)

angle

b)

point

c)

line

d)

intersection

18.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary Angles

d)

Supplementary Angles

19.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

20.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

21.

Complementary Angles are two angles that add up to equal _____-degrees

a)

180

b)

90

c)

270

d)

120

22.

a)

41°

b)

65°

c)

102°

d)

115°

23.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

24.

An angle that is less than 90^o.

a)

right

b)

acute

c)

obtuse

d)

straight

25.

Which quadrilateral has only ONE pair of parallel sides?

a)

square

b)

rectangle

c)

trapezoid

d)

parallelogram

26.

A shape with 8 sides is called a __________.

a)

octagon

b)

pentagon

c)

hexagon

d)

triangle

27.

What do we call a shape with two pairs of parallel lines?

a)

A trapezoid

b)

A rhombus

c)

A ray

d)

A parallelogram

28.

Is the figure a polygon? Is it convex or concave?

a)

Not a polygon, convex

b)

Polygon, convex

c)

Not a polygon

d)

Polygon, concave

29.

How many sides does a decagon have?

a)

12

b)

9

c)

7

d)

10

30.

Polygon or non-polygon?

a)

Polygon

b)

Non-Polygon

31.

What is a polygon?

a)

A closed figure made up of straight line segments

b)

An open figure made up of straight line segments

c)

A closed figure made up of curved edges

d)

An closed figure made up of crossed line segments

32.

A simple curve crosses itself.

a)

True

b)

False

33.

This is a simple curve.

a)

True

b)

False

34.

A closed curve starts and stops at the same point.

a)

True

b)

False

35.

Which is a simple, closed curve?

a)

b)

36.

A simple, closed curve with sides that are line segments is a __________.

a)

Circle

b)

Curve

c)

Polygon

37.

What type of polygon is shown ?

a)

Hexagon

b)

Quadrilateral

c)

Pentagon

d)

Equadrilateral

38.

Is this a polygon ?

a)

YES

b)

NO

39.

Name the Polygon

a)

Hexagon

b)

Octagon

c)

Pentagon

d)

Nonagon

40.

Name the Polygon

a)

Quadrilateral

b)

Heptagon

c)

Hexagon

d)

Triangle

41.

Name the Polygon

a)

Triangle

b)

Quadrilateral

c)

Heptagon

d)

Nonagon

42.

Identify the type of polygon shown.

a)

Quadrilateral

b)

Hexagon

c)

Pentagon

d)

Triangle

43.

Which of the following is an equilateral triangle?

a)

b)

c)

d)

44.

Any triangle that contains one angle that measures exactly 90 degrees is a _________ triangle.

a)

acute

b)

obtuse

c)

isosceles

d)

right

45.

An isosceles triangle is any triangle with...

a)

2 congruent (or equal) sides

b)

3 congruent (or equal) sides

c)

no congruent (or equal) sides

d)

3 congruent (or equal) angles

46.

Which type of triangle is shown here?

a)

right triangle

b)

scalene triangle

c)

equilateral triangle

d)

obtuse triangle

47.

Which list includes real life examples of tessellations?

a)

Bricks, Donuts, Dogs

b)

Bricks, Paintings, Windows

c)

Bricks, Tiles, Puzzles

d)

Bricks, Pineapples, Paper

48.

Which Artist created Tessellations?

a)

M.C Escher

b)

Vincent Van Gogh

c)

Andy Warhol

d)

Salvador Dali

49.

What shape makes up the tessellation in the image?

a)

Triangles

b)

Squares

c)

Hexagons

d)

Pentagons

50.

In order for a tessellation to be considered a tessellation the pieces must not leave ...... and not ....... (Check all that apply)

a)

gaps

b)

touch

c)

pattern

d)

overlap

51.

What are the 3 ways a tessellation can be placed when creating the design? (Check all that apply)

a)

Translation

b)

Reflection

c)

Transfer

d)

Rotation

e)

Circular

52.

Can a diamond shape tessellate?

a)

yes

b)

no

53.

Can a square tessellate?

a)

yes

b)

no

54.

Can this pentagon shape tessellate?

a)

yes

b)

no

55.

Would the octagon and square tessellate?

a)

No; two octagons and one square would not meet at each vertex

b)

Yes; two octagons and one square meet at each vertex
135+135+90=360

c)

Yes; two octagons and one square meet at each vertex 130+130+100=360

d)

Yes; two octagons and one square meet at each vertex; 140+140+80=360

56.

Would you classify this tessellation as regular, semiregular, or neither?

a)

regular

b)

semiregular

c)

neither

57.

Would the octagon and the equilateral triangle tessellate?

a)

Yes; two octagons and one triangle meet at each vertex; 150+150+60=360

b)

Yes; two octagons and one triangle meet at each vertex
135+135+60=360

c)

Yes; one octagon and two triangles meet at each vertex
135+60+60=360

d)

No; there is no combination of 135 and 60 that adds up to exactly 360

58.

What shape is this?

a)

Cube

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Cone

59.

What is the name of this shape?

a)

Rectangular pyramid

b)

triangular pyramid

c)

square prism

d)

triangle prism

60.

What is the name of this polyhedron?

a)

pyramid

b)

cube

c)

cylinder

d)

prism

61.

The flat side of a 3D shape is called:

a)

vertex

b)

face

c)

edge

d)

street

62.

What are vertices?

a)

sides

b)

angles

c)

faces

d)

corners

63.

How many faces does a cube have?

a)

6

b)

5

c)

4

d)

8

64.

The lines of a 3D shape are called...

a)

edges

b)

outside

c)

faces

d)

vertices

65.

Guess the polyhedron. I have 6 faces that are all rectangles. I have 12 edges and 8 vertices.

a)

Rectangular prism

b)

cube

c)

Triangular pyramid

d)

Square pyramid

66.

Name the Polyhedron

a)

Cube

b)

Rectangular Prism

c)

Rectangular Pyramid

d)

Triangular Prism

e)

Triangular Pyramid

67.

What is the main difference between Prisms and Pyramids?

a)

A prism has 2 bases and a pyramid has 1 base.

b)

A prism has to have all 90 degree sides and a pyramid doesn't

c)

A prism must have a least one curved line and a pyramid doesn't

d)

A prism must be 3-d but a pyramid shouldn't

68.

How many faces does a square pyramid have?

a)

4

b)

5

c)

6

d)

7

69.

What is the name of this polyhedron?

a)

hexagonal pyramid

b)

pentagonal pyramid

c)

pentagonal prism

d)

hexagonal prism

70.

What is this shape?

a)

cone

b)

cube

c)

pyramid

d)

sphere

71.

What is the name of this shape?

a)

pyramid

b)

cube

c)

cylinder

d)

prism

72.

Find the total surface area of the figure shown.

a)

672 cm²

b)

480 cm²

c)

576 cm²

d)

864 cm²

73.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

74.

In the following situation, would it be more helpful to know the surface area or the volume?

Deciding how much wrapping paper a gift will need.

a)

surface area

b)

volume

75.

What is the volume of this rectangular prism?

a)

15 cubic cm

b)

125 cubic cm

c)

120 cubic cm

d)

25 cubic cm

76.

what is the volume?

a)

72 cubic units

b)

27 cubic units

c)

1.5 cubic units

d)

272 cubic units

77.

Euler's Formula is

a)

F+ V - E = 2

b)

F + V - E = 2

c)

E - V - F = 2

d)

F + V + F = 2

78.

Which of the following is a polyhedron

a)

Cone

b)

Cyllinder

c)

Tetrahedron

d)

Sphere

79.

A polyhedron having 6 vertices and 9 edges will have ________faces

a)

4

b)

6

c)

2

d)

5

80.

A polyhedron has 6 faces and 7 vertices. How many edges does it have?

(a)

81.

A polyhedron all of whose faces are squares.

a)

cube

b)

tetrahedron

c)

dodecahedron

d)

polyhedron

e)

heptahedron

82.

A convex regular polyhedron.

a)

dodecahedron

b)

icosahedron

c)

platonic solids

d)

face

e)

vertex

83.

What is the cross section?

a)

b)

c)

84.

A two dimensional representation of a three dimensional polyhedron that can be cut out and folded into a polyhedron is

a)

a puzzle

b)

a net

c)

a flat thing

d)

a cuboid

85.

How many platonic solids are there?

a)

2

b)

3

c)

4

d)

5

86.

What is displayed?

a)

Tetrahedron

b)

Octahedron

c)

Dodecahedron

d)

Icosohedron

87.

What is displayed?

a)

Tetrahedron

b)

Octahedron

c)

Dodecahedron

d)

Icosohedron

88.

What is displayed?

a)

Tetrahedron

b)

Octahedron

c)

Dodecahedron

d)

Icosohedron

89.

a)

a

b)

b

c)

c

90.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

91.

What shape will the angled cross-section of a rectangular pyramid be?

a)

Triangle

b)

Rectangle

c)

Trapezoid

d)

Square

92.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

93.

How many lines of symmetries does the regular polygon have?

a)

8

b)

3

c)

6

d)

7

94.

How many lines of symmetries does the regular polygon have?

a)

8

b)

4

c)

6

d)

7

95.

What is the smallest degree of rotational symmetry?

a)

90°

b)

45°

c)

60°

d)

120°

96.

If a shape is a square, then it is also a rectangle and a rhombus.

a)

TRUE

b)

FALSE

97.

Select all the true statements about the shape above.

a)

It is a quadrilateral.

b)

It has 4 right angles.

c)

It has two sets of parallel lines.

d)

It is a parallelogram.

e)

It has equal sides.

98.

3 yards is equal to _____ feet (1 yard = 3 feet)

a)

36

b)

30

c)

6

d)

9

99.

7 km = ________m

a)

70 m

b)

700 m

c)

7,000 m

d)

70,000 m

100.

3 yd =________ in?

a)

4

b)

108

c)

0.25

d)

3

101.

How many milliliters are in 13 liters? (1 liter = 1,000 milliliters)

a)

0.013 mL

b)

130 mL

c)

1,300 mL

d)

13,000 mL

102.

Is the highlighted side part of the perimeter?

a)

Yes

b)

No

103.

Find the perimeter of the composite figure.

a)

25 in.

b)

20 in.

c)

18 in.

d)

25 in.²

104.

Find the perimeter of the composite figure.

a)

56 m

b)

28 m

c)

51 m

d)

137 m²

105.

Find the area of this composite figure

a)

86 cm²

b)

87 cm²

c)

88 cm²

d)

89 cm²

106.

What is the formula to find the area of a triangle? (choose all that apply)

a)

A = bh

b)

$A\ =\ bh\div2$

c)

$A\ =\frac{1}{2}bh$

d)

$\ A\ =\ h\left(b\ +\ b\right)\div2$

107.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

108.

Find the area of the composite figure

a)

40

b)

9

c)

49

d)

61

109.

What is the area of this trapezoid?

a)

20 in²

b)

24 in²

c)

28 in²

110.

What is the area of this parallelogram?

a)

34.8m²

b)

23.6 m

c)

30m²

d)

30m

111.

What is the area of the shape?

a)

3 units

b)

6 units²

c)

9 units²

d)

12 units²

112.

Find the area of the circle below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

113.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

114.

A rectangular pyramid and it's dimensions are shown in the diagram. What is the volume of the pyramid in cubic feet?

a)

1320 ft³

b)

440 ft³

c)

660 ft³

d)

220 ft³

115.

Find the volume of the figure. Round to the nearest whole number.

a)

317 units³

b)

635 units³

c)

1,904 units³

d)

890 units³

116.

The sum of the lengths of any two sides of a triangle is _____ than the third side

a)

less

b)

greater

c)

equal

117.

Does the sides 8, 9, 10 make a triangle?

a)

yes

b)

no

118.

Does the sides 1, 1, 2 make a triangle?

a)

yes

b)

no

119.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

120.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

121.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

122.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

123.

Describe the Transformation

a)

Translation

b)

Reflection

c)

Rotation

124.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

125.

What is Dilation?

a)

Dilation means to enlarge or reduce

b)

Dilation means to reflect on something

c)

Dilation means to like something

d)

Dilation means to make something different by making it smaller

126.

Does the image show a Dilation?

a)

Yes

b)

No

127.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

128.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

129.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

130.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

131.

The "image" is the shape before the dilation.

a)

True

b)

False

132.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

133.

A dilation produces a congruent figure

a)

True

b)

False

134.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

135.

A gymnasium is 96 feet long and 75 feet wide. On a blueprint, the gymnasium is 5.5 inches long. To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?

a)

4.3

b)

8.6

c)

6.4

136.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

137.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

138.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

139.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

140.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

Geometry Review

Total questions: 140

Worksheet time: 7hrs 0mins

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