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Geometry Review

Total questions: 100

Worksheet time: 6hrs 19mins

Name
Class
Date
1.
What 2D geometric figure has 4 equal sides, 4 vertices and opposite angles are equal (2 acute and 2 obtuse)?
a)
Square
b)
Rectangle
c)
Rhombus
d)
Parallelogram 
2.
Name this 3D solid figure.
a)
Cube
b)
Rectangular prism
c)
Square pyramid
d)
Rectangle
3.
What 3D solid figure has 2 circular bases, 1 curved surface, no edges and no vertices? 
a)
Cylinder
b)
Cone
c)
Sphere
d)
Cube
4.
What 3D solid figure has 2 circular bases, 1 curved surface, no edges and no vertices? 
a)
Cylinder
b)
Cone
c)
Sphere
d)
Cube
5.
A closed figure with at least 3 sides, where all sides are straight (no curves) is a ___________.
a)
quadrilateral
b)
triangle
c)
square
d)
polygon
6.
Opposite sides are parallel; all sides are equal; each angle is a right angle 
a)
Rectangle
b)
Square
c)
Cube
d)
Quadrilateral
7.
Name this 2D geometric figure.
a)
Pentagon
b)
Hexagon
c)
Octagon
d)
Trapezoid
8.
Describe this 2D figure.
a)
6 sides, 6 vertices
b)
5 sides, 5 vertices
c)
8 sides, 8 vertices
d)
7 sides, 7 vertices
9.
A _____________ has 4 sides, 4 vertices, and one pair of parallel sides.
a)
parallelogram
b)
rhombus
c)
square
d)
trapezoid
10.
A _____________ has 1 circular base, 1 apex (vertex) and 1 curved surface.
a)
Cone
b)
Cylinder
c)
Sphere
d)
Prism
11.
6 square faces; 12 edges; 8 vertices 
a)
Cube
b)
Rectangular prism
c)
Cylinder
d)
Square pyramid
12.
What do these 3D geometric solids have in common?
a)
They have curved surfaces with no edges and no faces.
b)
They have circular bases.
c)
They do not roll.
d)
They have vertices. 
13.
Name this 3D solid figure.
a)
Triangular pyramid
b)
Rectangular prism
c)
Triangular prism
14.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
15.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
16.
Name an angle adjacent to <JQM
a)
<MQP
b)
<LQN
c)
<JQP
d)
<KQP
17.
Solve for X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
18.
Find the angle sum of the polygon.
a)
720° 
b)
900° 
c)
1080° 
d)
1260° 
19.
Which is a pair of corresponding angle?
a)
Angle 1 & Angle 4
b)
Angle 2 & Angle 7
c)
Angle 8 & Angle 6
d)
Angle 3 and Angle 5
20.
Which is a pair of Alternate Interior Angles?
a)
Angle 1 & Angle 6
b)
Angle 2 & Angle 6
c)
Angle 3 & Angle 8
d)
Angle 5 & Angle 1
21.
Find the distance.
a)
2 square of 17
b)
4 square of 7
c)
2 square root of 34
d)
4 square root of 2
22.
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
a)
If your insurance rates do not go up , then you have not maid a claim.
b)
If you do not make an insurance claim, then your rates will not go up.
c)
If your insurance rates go up, then you have made an insurance claim.
d)
If you make an insurance claim, then your rates will not go up.
23.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
Therefore, the polygon is a rectangle.
b)
Therefore, the polygon is a regular quadrilateral.
c)
Therefore, the polygon has exactly five congruent angles.
d)
Therefore, the polygon has congruent sides.
24.
What is the formula for the area of a triangle?
a)
(B x H) / 2
b)
B x H
c)
1/4 (B x H)
d)
(B + H) / 2
25.
What is the formula for the area of a rectangle?
a)
B x H
b)
side x side
c)
B x H / 2
d)
B + H
26.
What is the formula for the area of a square?
a)
side x side
b)
B x H
c)
side x 4
d)
B x H / 2
27.
What is the formula for the area of a trapezoid?
a)
(B1 + B2) x H  / 2
b)
B x H
c)
(B x H)  / 2
d)
side x side
28.
Area is always in ____ units.
a)
square
b)
cubic
c)
quadratic
d)
linear
29.
What is the area of this parallelogram?
a)
20 sq units
b)
32 sq units
c)
40 sq units
d)
24 sq units
30.
Which pair of lines are intersecting?
a)
AD and ED
b)
AC and ED
c)
BG and AC
d)
None are correct
31.
Which lines appear to be parallel to EF?
a)
EA and CF
b)
BA and CD
c)
AG and HC
d)
BC and AD
32.
Which type of angle is formed by the hands of the clock at 3:40 pm?
a)
straight
b)
acute
c)
right
d)
obtuse
33.
Which of the letters below have at least one line of symmetry?
a)
P, H and M
b)
K, M and H
c)
M and H
d)
All the above
34.
A square field has an area of 3,600 square feet. What is the measure of each side of the field?
a)
6 feet
b)
60 feet
c)
900 feet
d)
1,800 feet
35.
If the area of a circle is 25 π in² , then the diameter is?
a)
10 in
b)
5 in
c)
25 in
d)
pi in
36.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
37.

Mrs. Wilson placed the welcome mat shown below on her front door step. What is the area of her welcome mat in square feet?

a)

A = 30.15

b)

A = 25.12

c)

A = 56.12

d)

A = 16.5

38.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
39.
∠1 and ∠3 can best be described as - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
40.
What is the area of the figure?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
41.
What is the area of the shaded region?
a)
40 sq cm
b)
240 sq cm
c)
280 sq cm
d)
320 sq cm
42.
The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .
a)
284.52 ft2
b)
228 ft2
c)
317 ft2
d)
116.71 ft2
43.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
44.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
45.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
46.
What do we call this object below?
a)
Net 
b)
Triangle
c)
Geometry
d)
y = mx + b
47.

What is the length of the side being pointed at in the picture?

a)

7 km

b)

1 km

c)

4 km

d)

6 km

48.

A part of a line consisting of two points and all points between them.

a)

ray

b)

endpoint

c)

line segment

d)

plane

49.

A flat surface that has no thickness

and extends forever.

a)

point

b)

line

c)

plane

d)

ray

50.

Name 3 collinear points.

a)

S, Q, R

b)

T, Q, R

c)

S, Q, P

d)

P, Q, R

51.

I am a location in space. I have no dimension. Who am I?

a)

Plane

b)

Point

c)

Segment

d)

Line

52.

I am part of a line. I have one end point and continue forever in one direction. What am I?

a)

segment

b)

line

c)

ray

d)

opposite ray

53.

I am made up of a minimum of 2 points with no thickness or width. What am I?

a)

plane

b)

line segment

c)

line

d)

ray

54.

Q is the midpoint of PR.

PQ = 6x – 7 and QR = 5x + 1.

Find the length of PR.

a)

8

b)

16

c)

41

d)

82

55.

I am a line, ray or segment that intersects a segment at its midpoint. What am I?

a)

congruent segments

b)

perpendicular line

c)

angle bisector

d)

segment bisector

56.

If ∠ABC= 103⁰, find m∠ ABD

a)

45

b)

13

c)

57

d)

46

57.
Use angle relationships to solve for x.
a)
x = 3/2
b)
x = 16
c)
x = 0.75
d)
x = -2/3
58.
Use angle relationships to solve for x.
a)
x = 24
b)
x = -7
c)
x = 7
d)
x = -24
59.
Solve for x.
a)
x = 120
b)
x = 80
c)
x = 10
d)
x = 40
60.
Use the triangle inequality theorem. This is...
a)
a unique triangle
b)
not a triangle
c)
makes more than 1 triangle
d)
makes infinite scalene triangles
61.
The shapes are similar. Find x.
a)
x = 684.8
b)
x = 0.125
c)
x = 8
d)
x = 10.7
62.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
63.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
64.
If the diameter of a circle is 50 yards, the radius is _____
a)
100 yards
b)
25 yards
c)
150 yards
d)
15 yards
65.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the 
bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
66.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
67.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
68.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
69.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
70.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
71.

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

a)

40 cm³

b)

11 cm

20 cm²

c)

20 cm³

d)

30 cm³

72.

A package of sticky notes is in the shape of a parallelogram. The dimensions of one sticky note are shown. What is the area of one sticky note?

a)

54.56 cm2

b)

109.12 cm2

c)

42.4 cm

d)

212 cm2

73.
FInd the Surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
74.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
75.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
76.
Find the volume.
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
77.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
78.

What is the area of this trapezoid?

a)

108 cm squared

b)

60 cm squared

c)

432 cm squared

d)

216 cm squared

79.

find the surface area?

a)

15.6m2

b)

96m2

c)

52.3m2

d)

890m2

80.

Karis and Aaron are trying to group given geometric shapes together based on their attributes.


Which answer choice below shows how they could use attributes to group shapes?

a)

Figure 2 and figure 3 both have more than 2 sets of parallel lines.

b)

Figure 2, 3, and 4 contain perpendicular sides.

c)

Figures 2 and figure 3 have at least 2 sets of parallel lines.

d)

Figure 4 is the only one with 2 sets of parallel lines.

81.

The figure above has 6 labeled angles.


Which list shows only the angles that appear to be right angles?

a)

Angle L, angle M, angle N, and angle P

b)

Angle L, angle P, angle Q, and angle L

c)

Angle Q and angle R

d)

Angle M and angle N

82.

Which statement below is TRUE about the image above?

a)

There are no lines of symmetry on the image.

b)

Both W and Y are lines of symmetry.

c)

W, X, and Y are all lines of symmetry.

d)

Only line W represents a line of symmetry.

83.
a)

Hexagon

b)

Quadrilateral

c)

Rectangle

d)

Rhombus

84.

What is the area of the composite shape?

a)

Rectangle = 54, triangle = 18, total = 54 + 18 = 72 square units

b)

Rectangle = 54, triangle = 90, total = 54 + 90 = 144 square units

85.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
86.
What additional information is required for the 2 triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
87.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
88.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
89.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
90.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
91.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
92.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
93.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?
94.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
95.
A parallelogram is a rectangle when the diagonals ...
a)
are perpendicular.
b)
bisect each other.
c)
are congruent.
d)
are parallel.
96.
Simplify:
a)
2√12
b)
4√12
c)
4√3
d)
16√3
97.
Simplify:  √28
a)
7√2
b)
2√7
c)
4√7
d)
2√14
98.
Simplify:
a)
√5
b)
(√14)/2
c)
√7
d)
Cannot be simplified
99.
Simplify:
a)
2
b)
4√3
c)
2√3
d)
4
100.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm

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