WorksheetsNwea Math Review Geometry
Total questions: 74
Worksheet time: 2hrs 15mins
Name
Class
Date
1.
What solid is formed when a right triangle is revolved about the x-axis?
a)
cylinder
b)
cone
c)
sphere
d)
pyramid
2.
A polygon with three sides.
a)
square
b)
oval
c)
quadrilateral
d)
triangle
3.
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
4.
What is the area of this triangle?
a)
12 sq. cm.
b)
6 sq. cm.
c)
12 cm
d)
6 cm
5.
Find the midpoint of the line segment with endpoints (10, 0) and (9, -1).
a)
(0.5, 0.5)
b)
(9.5, -0.5)
c)
(8, -2)
d)
(5, 4)
6.
Distance between (-3, -2) and (-5, 0).
a)
2
b)
2.4
c)
2.8
d)
7.7
7.
Find the missing side.
a)
6.2 yd
b)
11.8 yd
c)
10.1 yd
d)
9 yd
8.
Solve for x.
a)
-6
b)
7
c)
12
d)
-11
9.
Solve for x.
a)
11
b)
3
c)
10
d)
9
10.
Solve for the variable.
a)
8.25
b)
4
c)
5.2
d)
6
11.
A carousel turns a total of 280°. If it turns one degree at a time, how many turns does it make?
a)
280
b)
360
c)
180
d)
90
12.
Name the triangle by its sides
a)
equilateral
b)
isosceles
c)
scalene
13.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Triangle
14.
When (3,-2) is reflected across the x-axis the resulting image point is:
a)
(-3,2)
b)
(-3,-2)
c)
(3,2)
d)
(6,-4)
15.
Reflect (3,5) over the y-axis.
a)
(2,2)
b)
(3,-5)
c)
(-3,-5)
d)
(-3,5)
16.
Use (x,y)->(x+3,y+5) to translate (-3,4)
a)
(0,-1)
b)
(0,9)
c)
(-6,9)
d)
(-6,-9)
17.
When Triangle ABC has been transformed it becomes:
a)
Square ABCD
b)
Triangle A'B'C'
c)
Triangle DEF
d)
Triangle CBA
18.
The statement, "Every segment is congruent to itself" is an example of the:
a)
Ruler Postulate
b)
Segment Addition Postulate
c)
Addition property of Equality
d)
Reflexive Propety
19.
What's wrong with this picture?
a)
The interior angles will not add up to 360.
b)
The exterior angles will not add up to 360.
c)
The interior angles should add up to 720.
d)
All 5 exterior angles should be congruent.
20.
Name this construction.
a)
Altitude
b)
Perpendicular Bisector
c)
Angle Bisector
d)
Median
21.
True or False?
a)
True
b)
False
22.
True or False?
a)
True
b)
False
23.
True or False?
a)
True
b)
False
24.
True or False?
a)
True
b)
False
25.
What is the measure of angle c?
a)
133 degrees
b)
111 degrees
c)
116 degrees
d)
128 degrees
26.
Are triangles MAD and MBC congruent? Why?
a)
Yes! Because of CPCTC
b)
Yes! Because of SAS
c)
No! Because of SSA
d)
Yes! Because of ASA
27.
SohCahToa!
How long is side x?
How long is side x?
a)
36 cm
b)
39 cm
c)
40.7 cm
d)
50.2 cm
28.
Solve this system of equations.
a)
(3, 21)
b)
(12, 48)
c)
(2, 18)
d)
(5, 3)
29.
Re-write this equation in standard form.
a)
x2 - 14x - 14
b)
x2 - 4x - 45
c)
x2 + 5x - 45
d)
x2 - 5x + 9
30.
Factor this equation to determine the roots (x-intercepts)
a)
x = 10, x = 21
b)
x = 5, x = 10.5
c)
x = 7, x = 3
d)
x = -3, x = -7
31.
AB8. (4y + 5)^2
a)
16y^2 - 40y - 25
b)
16y^2 + 20y + 25
c)
8y^2 + 40y + 25
d)
16y^2 + 40y + 25
32.
Find the measure of angle BAC.
a)
45
b)
55
c)
65
d)
75
33.
a)
52 cm2
b)
28 cm2
c)
1 cm2
d)
25 cm2
34.
The two angles non-adjacent to the exterior angle.
a)
Supplementary angles
b)
Remote Interior Angles of a Triangle
c)
Vertical angles
d)
Complementary angles
35.
Point C could best be described as...
a)
Incenter
b)
Circumcenter
c)
Orthocenter
d)
Centroid
36.
What is the measure of angle QPT?
a)
120 degrees
b)
130 degrees
c)
135 degrees
d)
140 degrees
37.
Put the angles in order from smallest to largest.
a)
a, b, c
b)
b, a, c
c)
c, b, a
d)
c, a, b
38.
Are these triangles congruent? Why?
a)
Yes, SSS
b)
Yes, SAS
c)
Yes, ASA
d)
No, SSA
39.
How long is side b?
a)
12 cm
b)
24 cm
c)
6 cm
d)
30 cm
40.
SohCahToa!
a)
7.44 cm
b)
6.57 cm
c)
13.07 cm
d)
26.33 cm
41.
Law of Sines!
a)
17.54 cm
b)
16.98 cm
c)
17.21 cm
d)
14.56 cm
42.
Find the tan of angle A.
a)
9/6
b)
6/9
c)
9/15
d)
6/15
43.
Find the volume of the prism.
a)
160 cm2
b)
168 cm2
c)
184 cm2
d)
240 cm2
44.
Classify the triangle.
a)
acute, isosceles
b)
acute, scalene
c)
obtuse, isosceles
d)
obtuse, scalene
45.
Find the supplement of a 81° angle.
a)
9°
b)
99°
c)
101°
d)
180°
46.
What is the equation of a circle with a center at (3, -4) and a radius of 7?
a)
x + 3 - 4 = 7
b)
(x + 3)2 + (x - 4)2 = 7
c)
(x - 3)2 + (x + 4)2 = 49
d)
(x + 3)2 - (x - 4)2 = 49
47.
Find tan A.
a)
5/13
b)
12/13
c)
5/12
d)
12/5
48.
Find sin B.
a)
5/13
b)
12/13
c)
5/12
d)
12/5
49.
Which of the following would you use to find the measure of an angle?
a)
Pythagorean theorem
b)
Sin, Cos, or Tan
c)
Sin-1, Cos-1, or Tan-1
d)
Chord-Chord Product Theorem
50.
A figure with 72 sides is called a..
a)
Dodecagon
b)
72-gon
c)
36-gon
d)
Nonagon
51.
(x,y) to (x-1, y+3) for (1,2), (3,3) and (5,1).
a)
(2,-1), (4,0), (6,.-2)
b)
(0,5), (2,6), (4,4)
52.
What are the five ways to prove triangle congruence?
a)
SSA, AAS, LH, ASA, SSS
b)
SAS, SSS, HL, SSA, ASA
c)
HL, SAS, SSS, SSA
d)
SSS, SAS, HL, ASA, AAS
53.
Use the picture to answer the question.
a)
30
b)
60
c)
15
d)
120
54.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
55.
Which bet describes the median of a triangle?
a)
It divides a segment of a triangle in equal portions.
b)
An angle bisector that divides a triangle into equal portions.
56.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
57.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
58.
A triangle has the following side lengths:
AB = 12 units
BC = 10 units
AC = 16 units
What type of triangle does this make?
AB = 12 units
BC = 10 units
AC = 16 units
What type of triangle does this make?
a)
Acute
b)
Obtuse
c)
Right
d)
Equilateral
59.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
60.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
61.
The sum of the measures of the internal angle of a convex polygon is 900°. How many sides does this polygon have?
a)
3
b)
6
c)
7
d)
9
62.
(a,b) to (b,-a) is a ...
a)
270° rotation
b)
90° rotation
c)
180⁰ rotation
d)
95⁰ rotation
63.
What is the center of rotation need to rotate the triangle onto itself?
a)
F
b)
G
c)
E
d)
D
64.
Describe the cross section.
a)
trapezoid
b)
triangle
c)
rectangle
d)
square
65.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
66.
Describe the cross section.
a)
triangle
b)
rectangle
c)
trapezoid
d)
square
67.
What cross-section is formed by slicing through a cube perpendicular to any face?
a)
rectangle
b)
square
c)
parallelogram
d)
triangle
68.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
69.
What is the measure of angle a?
a)
50
b)
80
c)
130
d)
Cannot Determine
70.
Segment BD is a/an _____.
a)
median
b)
altitude
c)
perpendicular bisector
d)
midsegment
71.
If Segment AD is a median, what can you conclude?
a)
<1 is congruent to <2
b)
AB = AC
c)
<ADC is a right angle
d)
BD = DC
72.
The triangles are congruent by _____.
a)
SAS
b)
ASA
c)
AAA
d)
Not congruent
73.
Find the value of e in the diagram.
a)
24
b)
5
c)
3
d)
7
74.
What is the sum of the measures of the interior angles of a 5-sided convex polygon?
a)
72
b)
360
c)
540
d)
900
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