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WorksheetsGeometry Sem 1 Final Review
Total questions: 40
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
Use the image to determine which statement IS true?
a)
Points A, C, D, and E are Coplanar
b)
Points B, E, and D are Collinear
c)
Plane M can be written as Plane DAE
d)
Line BC lies in Plane M
2.
What is the intersection of Plane L and Plane K? (Give the best answer)
a)
Line PQ
b)
Line MN
c)
Point Q
d)
Line RS
3.
Find the midpoint of segment AB if
A(3, -1) and B(7, -5)?
A(3, -1) and B(7, -5)?
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
4.
Given line CF, line EG, and line AD, find the value of x.
a)
x = 9
b)
x = 5
c)
x = 13
d)
x = 10
5.
Given Ray AE is an angle bisector of ∠DAB,
and m∠DAC = 138⁰, find m∠BAC.
and m∠DAC = 138⁰, find m∠BAC.
a)
m∠BAC = 50⁰
b)
m∠BAC = 88⁰
c)
m∠BAC = 38⁰
d)
m∠BAC = 42⁰
6.
Which of the following best describes the polygon
a)
Regular, Concave Octagon
b)
Equiangular, Concave Octagon
c)
Equilateral, Concave Octagon
d)
Equilateral, Convex Octagon
7.
Find the value of x.
a)
x = 15.5
b)
x = 31
c)
x = 11.8
d)
x = 7
8.
Which of the following could be written as a true biconditional statement?
a)
If two angles are vertical angles, then they are congruent.
b)
If two lines are supplementary, then they are a linear pair.
c)
If a polygon is a square, then it has four right angles.
d)
If there exists a line, then it contains at least two points.
9.
Which property is demonstrated by the statement: "If y = 8x - 2 and x = 4, then y = 30."
a)
Substitution Property
b)
Transitive Property of Equality
c)
Reflexive Property of Equality
d)
Multiplication Property of Equality
10.
Which of the statements is the inverse to
"If angles are congruent, then the measures of the angles are equal."
"If angles are congruent, then the measures of the angles are equal."
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.
11.
Determine whether the conditional statement is true. If false, which would be a counterexample?
"If a number is divisible by 3, then it is divisible by 6."
"If a number is divisible by 3, then it is divisible by 6."
a)
The statement is True
b)
Counterexample: 9
c)
Counterexample: 18
d)
Counterexample: 36
12.
Use the figure to determine which statement is false
a)
A
b)
B
c)
C
d)
D
13.
Select the appropriate property for the statement.
"Given segment JK is shared by two polygons, then JK = JK"
"Given segment JK is shared by two polygons, then JK = JK"
a)
Transitive Property of Equality
b)
Definition of Congruence
c)
Symmetric Property of Equality
d)
Reflexive Property of Equality
14.
Find m∠ECD.
a)
m∠ECD = 115⁰
b)
m∠ECD = 125.55⁰
c)
m∠ECD = 149⁰
d)
m∠ECD = 106⁰
15.
Which of the statements can be used to prove m || n?
a)
∠1 ≅ ∠6
b)
∠5 and ∠6 are supplementary
c)
∠4 ≅ ∠5
d)
∠3 and ∠6 are supplementary
16.
Find the value of x.
a)
x = 9
b)
x = 8
c)
x = 4.5
d)
x = 2
17.
Find the value of x that makes g || h?
a)
x = 41
b)
x = 0
c)
x = -9
d)
x = -21
18.
Find the value of x
a)
x = 6.75
b)
x = 3
c)
x = 9.25
d)
x = 13
19.
Find m∠DAB.
a)
m∠ECD = 65⁰
b)
m∠ECD = 55⁰
c)
m∠DAB = 90⁰
d)
m∠DAB = 95⁰
20.
Use the image to determine which statement is NOT true
a)
a || b because Consecutive Interior Angles are supplementary
b)
a || b because Alternate Interior Angles are congruent
c)
Cannot prove a || c because the given angles are not touching the same transversal
d)
b || c because corresponding angles are congruent
21.
Find the value of x, y, and z.
a)
x = 55
y = 125
z = 125
y = 125
z = 125
b)
x = 55
y = 125
z = 55
y = 125
z = 55
c)
x = 125
y = 55
z = 55
y = 55
z = 55
d)
x = 125
y = 55
z = 125
y = 55
z = 125
22.
Find the value of x
a)
41
b)
45
c)
82
d)
98
23.
Which of the following triangles is not equilateral?
a)
(A)
b)
(B)
c)
(C)
d)
They are all equilateral triangles
24.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
25.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
26.
Identify the transformation from ABC to A'B'C'.
a)
(x, y) → (x + 8, y + 4)
b)
(x, y) → (x – 8, y – 4)
c)
(x, y) → (x + 4, y + 8)
d)
(x, y) → (x – 4, y – 8)
27.
Given the reflection, find the value of x and y.
a)
x = 20, y = 3.33
b)
x = 20, y = 4
c)
x = 15, y = 3.33
d)
x = 15, y = 4
28.
Which image represents a 90o clockwise rotation about the origin?
a)
A
b)
B
c)
C
d)
D
29.
Choose the correct congruence statement for the triangles
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
30.
State if the two triangles are congruent. If they are, state how you know by choosing the correct congruence theorem.
a)
A
b)
B
c)
C
d)
D
31.
If C is the midpoint of AD and BE, what postulate proves ∆ABC congruent to ∆EDC?
a)
SSS
b)
SAS
c)
ASA
d)
SSS
32.
What is the image of A(5,2) if it is rotated 90⁰ clockwise about the origin?
a)
A'(-5, 2)
b)
A'(-2, 5)
c)
A'(1, 2)
d)
A'(2, -5)
33.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
(x,y) → (x – 7, y)
(x,y) → (x – 7, y)
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
34.
A dilation of A(8, -4) is A'(4, -2). Using the same scale factor, what is the image of B(10, 16)?
a)
B'(20, 32)
b)
B'(5, 8)
c)
B'(6, 18)
d)
B'(14, 14)
35.
What is the image of Q(-3, 10) if reflected over the line y=x?
a)
Q'(3, -10)
b)
Q'(3, 10)
c)
Q'(10, -3)
d)
Q'(-3,10)
36.
Given JETS ∼ OKAY, find the value of x.
a)
x = 11.5
b)
x = 14.5
c)
x = 25.3
d)
x = 37.1
37.
Are the triangles similar? If yes, then complete the similarity statement ∆MNQ ∼_____. If no, then choose "not similar."
a)
∆MNQ ∼ ∆PNO
b)
∆MNQ ∼ ∆ONP
c)
∆MNQ ∼ ∆NOP
d)
Not similar
38.
Find the value
of x.
of x.
a)
x = 17
b)
x = 6
c)
x = 18
d)
x = 8
39.
Are the triangles similar?
a)
Yes, by SSS Similarity Postulate
b)
Yes, by SAS Similarity Postulate
c)
Yes, by AA Similarity Postulate
d)
The triangles are not similar
40.
Which statement describes the dilation of ABCD to A'B'C'D'?
a)
A'B'C'D' is an enlargement by a factor of 2
b)
A'B'C'D' is reduction by a factor of 1/2
c)
A'B'C'D' is an enlargement by a factor of 3/2
d)
A'B'C'D' is a reduction by a factor of 2/3
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