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WorksheetsQ1 Geometry Benchmark Review
Total questions: 96
Worksheet time: 4hrs 48mins
Name
Class
Date
1.
Find the distance between (7,11) and (-1, 5)
a)
8
b)
9
c)
10
d)
11
2.
Find the midpoint of these coordinates.
(2,3) and (-6, 8)
(2,3) and (-6, 8)
a)
(-2 , 5.5)
b)
(2.5 , 1)
c)
(2 , -1.5)
d)
(3 , -24)
3.
Find the complement of a 37° angle.
a)
37°
b)
53°
c)
90°
d)
143°
4.
Find the supplement of a 81° angle.
a)
9°
b)
99°
c)
101°
d)
180°
5.
What angle is this
a)
Intersectioning lines
b)
straight angle
c)
Parallel lines
d)
Reflexive Angle
6.
If E is between D and F. Find the value of x if DE=4x-12, EF=10x + 30 and DF=200.
a)
13
b)
7
c)
10
d)
5
7.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
8.
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.
9.
Find AB
a)
3
b)
4
c)
5
d)
2
10.
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.
11.
a)
MQ=4, PQ=8
b)
MQ=4, PQ=4
c)
MQ=8, PQ=4
d)
MQ=8, PQ=8
12.
If point A is at -3 on a number line, and point B is at 5, what is AB?
a)
4
b)
-8
c)
8
d)
-4
13.
a)
9
b)
0
c)
8
d)
-8
14.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
15.
≌ means
a)
same size
b)
same shape
c)
same size and shape
d)
equal
16.
Name the angle with two arcs
a)
< FIE
b)
< EIR
c)
< FER
d)
< FIR
17.
What is the measure of the following angle?
a)
56 degrees.
b)
180 degrees.
c)
142 degrees.
d)
97 degrees.
18.
What is the measure of the angle?
a)
110 degrees.
b)
140 degrees.
c)
150 degrees.
d)
170 degrees.
19.
Angles that add up to equal 90o are called what type of angle pairs?
a)
Supplementary angles
b)
Complementary angles
c)
Linear Pair
d)
Adjacent
20.
Two angles that add up to equal 180o
a)
Straight angle
b)
Right angle
c)
Complementary
d)
Supplementary
21.
When naming an angle is it sometimes, never, or always true that it can be named with an angle symbol and a capital letter representing the vertex?
a)
Sometimes
b)
Always
c)
Never
22.
When can an angle not be named using an angle symbol and the capital letter of the vertex?
a)
When you need to be more specific
b)
When the vertex has more than on angle
c)
When there are more than two rays projecting out from the vertex
d)
All of the Above
23.
What symbol should I put above the letters when naming a RAY?
a)
a circle
b)
a line
c)
an arrow
d)
and angle
24.
What symbol should I put on top of the letters when naming a LINE SEGMENT
a)
an arrow
b)
a line
c)
a pokemon
d)
an angle
25.
Points that lie on the same line
a)
collinear points
b)
coplanar points
c)
line
d)
opposite rays
26.
Two rays that share an endpoint and extend in opposite directions
a)
angle
b)
opposite rays
c)
ray
d)
plane
27.
When naming a plane, we should use ________
a)
2 points
b)
a lower case cursive letter
c)
3 points
d)
3 noncollinear points
28.
Ray EA and Ray EB are opposite rays
a)
True
b)
False
29.
a)
No, the three points are not collinear.
b)
Yes, they lie on line MP.
c)
Yes, they lie on line NP.
d)
Yes, they lie on line MO.
30.
a)
F
b)
G
c)
H
d)
I
31.
Find the value of x.
a)
38°
b)
52°
c)
142°
d)
152°
32.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
33.
∠XOZ is bisected by ray OY. Which statement is true?
a)
∠XOZ ≅ ∠XOY
b)
∠XOZ ≅ ∠ZOY
c)
∠XOY ≅ ∠ZOY
d)
∠OXY ≅ ∠OZY
34.
If m∠XOZ = 74°, find m∠XOY.
a)
37°
b)
74°
c)
90°
d)
148°
35.
If m∠AOB = 32° and m∠BOC = 17°, find m∠AOC.
a)
15°
b)
49°
c)
31°
d)
90°
36.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
37.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
38.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
7°
b)
17°
c)
83°
d)
97°
39.
S is the midpoint of RT.
RS = 13x + 2
RT = 212
Find x.
RS = 13x + 2
RT = 212
Find x.
a)
8
b)
106
c)
212
d)
16
40.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
41.
What is spongebob's favorite snack?
a)
jelly patty
b)
spongy patties
c)
krabby patties
d)
salads
42.
Figure 3.
Name both pairs of alternate exterior angles.
Name both pairs of alternate exterior angles.
a)
∠1 and ∠7, ∠2 and ∠8
b)
∠8 and ∠7, ∠2 and ∠8
c)
∠2 and ∠7, ∠1 and ∠8
d)
∠3 and ∠7, ∠4 and ∠8
43.
The blue and yellow angles are _________ angles.
a)
complementary
b)
supplementary
c)
vertical
d)
adjacent
44.
Name the relationship: complementary, linear pair, vertical, or adjacent
a)
A
b)
B
c)
C
d)
D
45.
If angle RZS measures 35o, what is the measure of angle SZT?
a)
55o
b)
145o
c)
80o
d)
65o
46.
Find the measure of the indicated angle.
a)
89
b)
211
c)
119
d)
81
47.
Solve for x.
a)
16
b)
11
c)
50
d)
6
48.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
49.
What is the distance between (-5, 3) and (4, -5)
a)
Square root of -145
b)
Square root of 145
c)
145
d)
-145
50.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
51.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
52.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
53.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
54.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
55.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
56.
What is the value of x?
a)
13
b)
6.2
c)
29.8
57.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
58.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
59.
What direction is an undefined slope?
a)
horizontal
b)
vertical
60.
Which equation is perpendicular to:
y = -6x +2
y = -6x +2
a)
y = 6x +1
b)
y = 1/6x +4
c)
y = -6x +3
d)
y = -1/6x +5
61.
What is the slope intercept form for the equation 3x - 5y = 30?
a)
y = 3/5x + 30
b)
y = -3/5x + 10
c)
y = 5/3x - 6
d)
y = 3/5x - 6
62.
If the slope of a line is 4, the perpendicular slope is ___
a)
4
b)
-4
c)
-1/4
d)
1/4
63.
2x - 6y = 3
-2x + 6y = 3
Are the lines parallel or perpendicular?
Hint* get both to y = and look at slope
-2x + 6y = 3
Are the lines parallel or perpendicular?
Hint* get both to y = and look at slope
a)
parallel
b)
perpendicular
c)
neither
64.
The angles of a triangle are in an extended ratio of 5:7:3. What is the measure of the largest angle?
a)
84o
b)
12o
c)
60o
d)
36o
65.
a)
A
b)
B
c)
C
d)
D
66.
a)
A
b)
B
c)
C
d)
D
67.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
68.
Which angle type is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
69.
How many degrees is a straight angle?
a)
90
b)
360
c)
180
d)
145
70.
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)
71.
What is the reason?
a)
Definition of Angle
b)
Definition of Congruence
c)
Definition of bisects
d)
Definition of midpoint
72.
When taking the inverse we _____________ the hypothesis and conclusion.
a)
negate
b)
switch
c)
switch and negate
d)
leave the same
73.
When taking the converse we ___________ the hypothesis and conclusion.
a)
negate
b)
switch
c)
leave the same
d)
switch and negate
74.
Conditional: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
75.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
76.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
77.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
78.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
79.
Which formula should be used to prove lines are parallel or perpendicular?
a)
Distance Formula
b)
Slope Formula
c)
Midpoint Formula
d)
Pythagorean Theorem
80.
Which formula should be used to prove lines are parallel or perpendicular?
a)
Distance Formula
b)
Slope Formula
c)
Midpoint Formula
d)
Pythagorean Theorem
81.
How do we prove a triangle is an isosceles triangle?
a)
Prove all sides are different lenghts
b)
Show that the three sides satisfy the pythagorean theorem
c)
Show that opposite angles are congruent
d)
Show that two sides are congruent
82.
In the figure m∠LQM=60. Find m∠KMN.
a)
45o
b)
75o
c)
105o
d)
135o
83.
m∠KIJ=(2x+6)o and m∠HIJ=(9x-4)o and m∠KIH=68o. Find m∠KIJ.
a)
6
b)
18
c)
50
d)
68
84.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
85.
In the figure below, the three lines are parallel and cut by the transversal, t. Which of the following is NOT a pair of same side interior angles?
a)
2 and 5
b)
8 and 9
c)
4 and 11
d)
8 and 11
86.
What is the missing piece of information required to prove these triangles congruent?
a)
QY ≅ QY
b)
NY ≅ PY
c)
∠N ≅ ∠P
d)
QY is the perpendicular bisector
87.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
88.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
89.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
90.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
91.
Write the equation of the line.
a)
y=⅗x+1
b)
y=⅗x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
92.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
93.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
94.
Determine if the segments are parallel, perpendicular, or neither:
AB (-8, -1) and (-4, 2)
CD (0, -3) and (12, 6)
AB (-8, -1) and (-4, 2)
CD (0, -3) and (12, 6)
a)
parallel
b)
perpendicular
c)
neither
95.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
96.
-6x + y = 2
6x + y = 2
These lines are...
6x + y = 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
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