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WorksheetsGeometry Midterm Review Ch 1-4, 13
Total questions: 91
Worksheet time: 5hrs 59mins
Name
Class
Date
1.
Find the distance between the points:
A(-3, 2) and B(1, 5)
A(-3, 2) and B(1, 5)
a)
5
b)
√13
c)
√73
d)
√65
2.
Find the midpoint of the line segment joining C(-3, 1) to D(5,7)
a)
(1, 4)
b)
(-4, -3)
c)
(-1, 6)
d)
(-2, -1)
3.
Determine the equation of the line:
which passes through
(-3, 4) and (3, 1)
which passes through
(-3, 4) and (3, 1)
a)
y = -1/2x + 2.5
b)
y = 1/2x + 2.5
c)
y = -2x -2
d)
y = 2x -2
4.
Line n is parallel to y = 6x - 2 and passes through the point (-3,5). What is the equation of line n?
a)
y = 6x + 23
b)
y = -1/6x + 4.5
c)
y = -6x + 23
d)
y = 1/6x + 4.5
5.
∆ABC≅∆XYZ
which is true? (Note: the answers should have line segments over the letters)
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
6.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
7.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
8.
Find the measure of angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
9.
Solve for x.
a)
7
b)
9
c)
10
d)
-11
10.
What is the value of y?
a)
14
b)
4
c)
6
d)
7
11.
In isosceles triangle KMD with base segment KM, KD=3x+4, KM=4x-3, and MD=6x+1. Find the value of the perimeter.
a)
15
b)
1
c)
7
d)
-2
12.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
13.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
14.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
15.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
16.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
17.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
18.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
19.
When do you use "CPCTC" in a proof?
a)
ALWAYS at the beginning
b)
After you prove triangles are congruent and want to prove sides or angles are congruent
c)
It's optional
d)
The second to last step
20.
What is the "statement" for step 2 of the proof? (There should be a line segment symbol above each answer below)
a)
AD≅AD
b)
AD≅DA
c)
HD≅ND
d)
HA≅AN
21.
What is the "statement" for step 3 of the proof? (Note: There should be a line segment symbol above each answer)
a)
MA≅AT
b)
HA≅AH
c)
MA≅AM
d)
MA≅MA
22.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
23.
What is the reason for statement 4?
a)
CPCTC
b)
ASA
c)
AAS
d)
SAS
24.
Use the image to answer the question.
a)
63
b)
27
c)
117
d)
153
25.
Use the image below to answer the question.
a)
SSS
b)
AAA
c)
SAS
d)
AAS
26.
What is the justification (reason)?
a)
Reflexive Property
b)
Symmetric Property
c)
Transitive Property
d)
Substitution
27.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
28.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
29.
If <M = <L then <L = <M
a)
Transitive Property of Equality
b)
Substitution Property of Equality
c)
Symmetric Property of Equality
d)
Reflexive Property of Equality
30.
If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.
then m∠A + m∠B = 90°.
a)
Definition of Supplementary Angles
b)
Angle Addition Postulate
c)
Definition of Right Angle
d)
Definition of Complementary Angles
31.
If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.
then ∠BAT ≅ ∠MAN.
a)
Vertical Angles Theorem
b)
Definition of Congruent Angles
c)
Angle Addition Postulate
d)
Batman
32.
If X is between R & T on a line,
then RX + XT = RT
a)
Addition Property
b)
Substitution Property
c)
Angle Addition Postulate
d)
Segment Addition Postulate
33.
If AC⊥BD , then ∠DBC is a right angle.
a)
Definition of Perpendicular Lines
b)
Definition of Right Angle
c)
Angle Addition Postulate
d)
Segment Addition Postulate
34.
4. Find X
a)
1
b)
30
c)
53
d)
10
35.
Find the value of t
a)
-1
b)
5
c)
5.14
d)
7
36.
Which polygon has only 3 sides?
a)
square
b)
parallelogram
c)
triangle
d)
rectangle
37.
How many degrees are in a right angle?
a)
180
b)
30
c)
60
d)
90
38.
What is an "Acute" Angle
a)
Angle that measures 180
b)
An Angle that measure 90
c)
An angle that measures more than 90
d)
An angle that measures less than 90
39.
Angles in the same plane with a common vertex & a common side, but no common interior points.
a)
Vertical
b)
Complementary
c)
Adjacent
d)
Suplementary
40.
Angles whose measure sum up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
41.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
42.
Name an angle adjacent to <JQM
a)
<MQP
b)
<LQN
c)
<JQP
d)
<KQP
43.
What is the name of this polygon?
a)
a pentagon
b)
a quadrilateral
c)
an octagon
d)
a triangle
44.
How many sides does a pentagon have?
a)
4
b)
10
c)
8
d)
5
45.
Solve for X.
a)
100°
b)
110°
c)
150°
d)
168°
46.
Find the angle sum of the polygon.
a)
720°
b)
900°
c)
1080°
d)
1260°
47.
Find the missing angle.
a)
30°
b)
31°
c)
32°
d)
33°
48.
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
49.
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
50.
Find, if possible, the slope of the line through the points (2 , 5) and (-4 , 5)
a)
15
b)
0
c)
-6
d)
2
51.
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
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.
52.
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.
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.
53.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
54.
If angle BAD = 34, what is the measure of angle BAC?
a)
17
b)
34
c)
68
d)
Cannot be determined
55.
The linear pair is represented by which two letters?
Click on the picture.
a)
K and F
b)
E and H
c)
H and G
d)
H and J
56.
Same side interior angles
a)
E and G
b)
H and L
c)
J and F
d)
G and I
57.
Solve for x.
a)
7
b)
-4
c)
8
d)
9
58.
Solve for x.
a)
9
b)
-7
c)
4
d)
6
59.
Solve for x.
a)
4
b)
11
c)
9
d)
7
60.
If a // b and c // d in the figure below, then what is the value of x?
a)
47
b)
57
c)
133
d)
143
61.
Which of the following relationship proves that j is parallel to k?
a)
∠3 and ∠4 are supplementary
b)
∠4 and ∠5 are supplementary
c)
∠1 ≅ ∠3
d)
∠2 ≅ ∠3
62.
Line l and m are intersected by transversal n. Which statement proves that line l is parallel to line m?
a)
∠2 ≅ ∠3
b)
∠2 ≅ ∠6
c)
m∠7 + m∠8 = 180°
d)
m∠3 + m∠5 = 90°
63.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
64.
What is the value of x?
a)
13
b)
48
c)
132
d)
60
65.
Angles x and y are....
a)
alternate interior
b)
alternate exterior
c)
corresponding
d)
consecutive interior
66.
Which pair of angles must be supplementary so that r is parallel to s?
a)
∠2 and ∠3
b)
∠5 and ∠6
c)
∠4 and ∠10
d)
∠6 and ∠14
67.
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
68.
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
69.
Which equation has a slope that is parallel to the line y = -x + 2?
a)
y = -x - 5
b)
y = 2x + 1
c)
y = x + 2
d)
y = 3x + 2
70.
Which equation has a slope that is perpendicular to y = (1/3)x + 2?
a)
y = 3x + 2
b)
y = x + 2
c)
y = -3x - 1
d)
y = (1/3)x - 1
71.
In △ABC, m∠A = 3x + 1, m∠B = 4x - 17, and m∠C = 5x - 20. Which type of triangle is △ABC?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
72.
If the sum of the interior angles of a polygon equals 900°, how many sides does the polygon have?
a)
7
b)
9
c)
10
d)
12
73.
What is a polygon called if the sum of its interior angles equals 1440° ?
a)
Octogon
b)
Nonagon
c)
Decagon
d)
Dodecagon
74.
What is the value of x?
a)
26.25
b)
38.75
c)
24
d)
25.125
75.
An exterior angle of a regular polygon
measures 36°. How many sides does
the polygon have?
measures 36°. How many sides does
the polygon have?
a)
10
b)
5
c)
14
d)
9
76.
Find the sum of the interior of angles in a 12-gon
a)
1800
b)
1080
c)
1620
d)
1260
77.
Find the measureof the sum of the exterior angles in a hexagon
a)
360
b)
180
c)
720
d)
540
78.
Find the value of one angle measurein a pentagon
a)
108
b)
60
c)
120
d)
135
79.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
80.
What is the measure of one interior angle of a regular 45-gon?
a)
8°
b)
360°
c)
172°
d)
93°
81.
What is the formula for one exterior angle in a regular polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
82.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
83.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
84.
What is the value of x?
a)
64
b)
46
c)
127
d)
38
85.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
86.
What is the length of DF?
a)
8
b)
4
c)
25
d)
71
87.
What is the value of x?
a)
107
b)
34
c)
112
d)
73
88.
Find the length of LM.
a)
4
b)
5
c)
3
d)
6
89.
If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.
a)
sides
b)
vertices
c)
angles
d)
measures
90.
Use the picture to answer the question.
a)
76
b)
28
c)
152
d)
56
91.
a)
60
b)
120
c)
15
d)
30
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