Font size
S
M
L
XL
WorksheetsEnd of Fall Geometry Make-Up
Total questions: 150
Worksheet time: 9hrs 54mins
Name
Class
Date
1.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
3x
2.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
3.
y = 3x +2
y = 3x - 3
These lines are...
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
4.
A line is perpendicular to y = 2x - 7.
What is the slope of this line?
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
5.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
6.
What slope is perpendicular to:
m = 5/8
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
7.
What slope is parallel to:
m = 4
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
8.
If two lines had slopes of -5 and 5 are they parallel, perpendicular, or neither?
a)
parallel
b)
perpendicular
c)
neither
9.
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
10.
Which is a pair of Alternate Exterior Angles?
a)
Angle 2 & Angle 5
b)
Angle 1 & Angle 3
c)
Angle 7 & Angle 3
d)
Angle 8 & Angle 4
11.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
12.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
13.
Angle 1 = 2x+9
Angle 2 = 3x-144
Find the measure of Angle 3.
Angle 2 = 3x-144
Find the measure of Angle 3.
a)
85o
b)
95o
c)
43o
d)
137o
14.
Find the missing angle.
a)
38°
b)
42°
c)
58°
d)
60°
15.
In the diagram, DC is the perpendicular bisector of AB and CE is the angle bisector of <ACD. Find the measure of <ACE
a)
90
b)
45
c)
30
d)
15
16.
Describe the relationship between the marked lines
a)
They are congruent
b)
They are perpendicular
c)
They are parallel
d)
All of the above
17.
Solve for the variable.
a)
133
b)
90
c)
47
d)
63
18.
Find the number of degrees in the third angle of the triangle
a)
155
b)
112
c)
74
d)
68
19.
Find the measure of angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
20.
Find the measure of the indicated angle.
a)
26
b)
36
c)
85
d)
144
21.
Find HG.
a)
8
b)
9
c)
10
d)
11
22.
Supplementary angles have ___________ degrees.
a)
90
b)
180
c)
360
d)
45
23.
Complementary angles have ____________ degrees.
a)
90
b)
180
c)
360
d)
45
24.
What is the measure of angle CFD?
a)
90
b)
50
c)
40
d)
x
25.
What is the measure of angle AFE?
a)
Obtuse
b)
140
c)
50
d)
90
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
Find m∠ABC
a)
45o
b)
60o
c)
105o
d)
15o
30.
a)
59
b)
11
c)
35
d)
24
31.
a)
21
b)
9
c)
5
d)
16
32.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
33.
A line is named by...
a)
Any 2 points on the line, or a lowercase script letter.
b)
Any 3 points on the line.
c)
Any 1 point on the line.
d)
Any 3 points on the line, or a uppercase script letter.
34.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
35.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
36.
Find the supplement of a 81° angle.
a)
9°
b)
99°
c)
101°
d)
180°
37.
∠2 & ∠4 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
38.
∠6 & ∠7 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
39.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
40.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
41.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
42.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
43.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
44.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
45.
a)
∠M=47°
b)
∠M=133°
c)
∠M=180°
d)
∠M=33°
46.
a)
∠B=77°
b)
∠B=103°
c)
∠B=180°
d)
∠B=13°
47.
a)
∠A=77°
b)
∠A=103°
c)
∠A=180°
d)
∠A=13°
48.
a)
∠C=96°
b)
∠C=84°
c)
∠C=180°
d)
∠C=6°
49.
a)
∠D=96°
b)
∠D=84°
c)
∠D=180°
d)
∠D=6°
50.
1. Which angle is complementary to angle PNY?
a)
RNA
b)
RNL
c)
YNE
d)
PLN
51.
1. Which angle is supplementary to angle RNA?
a)
ENY
b)
PNY
c)
RNL
d)
ANR
52.
1. Which angle is vertical to angle LNR?
a)
RNL
b)
YNE
c)
LNP
d)
ANE
53.
Write an equation for the following diagram.
a)
5x = 24
b)
5x + 24 = 180
c)
5x + 24 = 90
54.
Which angle is vertical to angle AXS?
a)
EXL
b)
AXN
c)
LXG
d)
EXS
55.
Write an equation for the following diagram.
a)
9x = 63
b)
9x + 63 = 180
c)
9x + 63 = 90
56.
Write an equation for the following diagram.
a)
4x = 124
b)
4x + 124 = 180
c)
4x + 124 = 90
57.
Write an equation for the following angles.
a)
5x = 40
b)
5x + 40 = 180
c)
5x + 40 = 90
58.
Write an equation for this diagram.
a)
5x = 130
b)
5x + 130 = 180
c)
5x + 130 = 90
59.
Write an equation for this diagram.
a)
5x = 50
b)
5x + 50 = 180
c)
5x + 50 = 90
60.
Find the length of segment EC
a)
33
b)
36
c)
40
d)
35
61.
Find AB
a)
3
b)
4
c)
5
d)
2
62.
Find AB.
a)
69
b)
20
c)
19
d)
11
63.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides.
d)
To cut something into two congruent pieces or in half.
64.
This point divides a line segment into 2 equal parts.
a)
point
b)
vertex
c)
midpoint
d)
segment
65.
a)
MQ=4, PQ=8
b)
MQ=4, PQ=4
c)
MQ=8, PQ=4
d)
MQ=8, PQ=8
66.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
67.
An example of coplanar points
a)
D, E, B,A
b)
C, B, A, F
c)
M, E, C, B
d)
A, F, E, D
68.
What is the name of this ray?
a)
Ray AB
b)
Ray BA
c)
Ray ABC
d)
Ray AC
69.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
70.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
71.
Name the intersection of Line c and Plane R
a)
Point J
b)
Line HK
c)
Point K
d)
Line MN
72.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
73.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
74.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
75.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
76.
Angle S and B are...
a)
Supplementary
b)
Congruent
77.
Angle R and C are...
a)
Supplementary
b)
Congruent
78.
Angle C and P are...
a)
Supplementary
b)
Congruent
79.
What is the probability of selecting a male from a group of 4 males and 8 females?
a)
1/3
b)
1/2
c)
2/3
d)
4/5
80.
If 2x + 5 = 8x, then 12x = ?
a)
5
b)
10
c)
15
d)
20
81.
What is the value of x in the following equation:
a)
3
b)
4
c)
5
d)
6
82.
√5√3 = ?
a)
√2
b)
√8
c)
√15
d)
8
83.
Simplify: (x6)(x5)
a)
2x11
b)
2x30
c)
x11
d)
x30
84.
x-3
a)
1/x3
b)
1/x-3
c)
3x
d)
1/3x
85.
(4x)3
a)
7x3
b)
64x3
c)
12x3
d)
16x3
86.
(x3)(x2)
a)
x-5
b)
x-6
c)
x6
d)
x5
87.
(x2)3
a)
x5
b)
x6
c)
x1
d)
x-1
88.
(x3y)6
a)
2x18y6
b)
x18y6
c)
x3y6
d)
x3y6
89.
34 is equal to which of the following?
a)
3 x 4
b)
4 x 4 x 4
c)
3 x 3 x 3 x 3
d)
(3)(4)
90.
10⋅10⋅10⋅10 is equal to which exponent?
a)
1000
b)
103
c)
104
d)
410
91.
How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
a)
57
b)
56
c)
75
d)
5
92.
Simplify:
b2 ⋅ b4
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
93.
Simplify:
(x5)4
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
94.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
95.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
96.
Simplify
(-7y2)(5y4)
(-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
97.
Simplify the following:
(x2y)5
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
98.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
99.
What is the y-intercept?
a)
2/3
b)
3/2
c)
3
d)
-3
100.
What does m represent in the formula y = mx + b?
a)
slope
b)
y-intercept
c)
x-intercept
101.
What is the b in the formula y = mx + b?
a)
slope
b)
y-intercept
c)
x-intercept
102.
What is the y-intercept in the following equation: y=-4x-5
a)
-4
b)
4
c)
5
d)
-5
103.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
3x
104.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
105.
Which is the equation of the line with slope 3 and y-intercept 5.
a)
y = 3x + 5
b)
y = 5x + 3
c)
y = 3/5x
d)
y = 5/3x
106.
Which is the equation of the line with y-intercept -2 and slope 6.
a)
y = -2x + 6
b)
y = 3x
c)
y = -2x - 6
d)
y = 6x - 2
107.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
108.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
109.
Find the slope of the line that passes through:
(6,7) and (4,2)
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
110.
Find the slope of the line that passes through:
(2, 4) and (6, 12)
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
111.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
112.
Find the slope of the line that passes through:
(-2, 8) and (0, 8)
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
113.
Find the product:
(3x + 2)(2x + 4)
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
114.
Multiply:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
115.
Multiply: (r + 7)(r − 7)
a)
r 2 − 49
b)
r 2 + 14
c)
r 2 − 7r + 49
116.
a)
A
b)
B
c)
C
d)
D
117.
a)
A
b)
B
c)
C
d)
D
118.
a)
A
b)
B
c)
C
d)
D
119.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
120.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
121.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
122.
Which one is a reflection over the y-axis?
a)
b)
c)
d)
123.
Which is a dilation of 2?
a)
b)
c)
d)
124.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
125.
Where would point J' be if you translated point 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
126.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
127.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
128.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
129.
If the trapezoid is reflected across the x-axis, what is the coordinates of R'?
a)
(-8,-7)
b)
(-8,7)
c)
(8,7)
d)
(8,-7)
130.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
131.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
132.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
133.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
134.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
135.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
136.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
137.
What is the algebraic representation of translating a figure 3 units left and 5 units down?
a)
(x+5, y-3)
b)
(x-5, y+3)
c)
(x-3, y+5)
d)
(x-3, y-5)
138.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
139.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
140.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?
a)
(x,y)→(y, -x)
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
141.
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.
a)
(5,-5)
b)
(5,5)
c)
(-5,5)
d)
(-5,-5)
142.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
143.
If (4,-2) → (4,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?
a)
90
b)
180
c)
270
d)
360
144.
Symmetrical?
a)
Is symmetrical
b)
not symmetrical
145.
How many lines of symmetry does the flower have?
a)
2
b)
3
c)
6
d)
9
146.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
147.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
148.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
149.
Triangle C is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
150.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
Reset
