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Geometry Honors Mid Term Review

Total questions: 85

Worksheet time: 21hrs 15mins

Name
Class
Date
1.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
2.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

d)

Glide Reflection

3.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
4.

Reflect (6, -3) over the y-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

5.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
6.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
7.
a)
A
b)
B
c)
C
d)
D
8.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
9.
a)

Reflection

b)

Rotation followed by a Translation

c)

Translation

d)

Glide Reflection

10.
Find the value of x.
a)
69
b)
135
c)
31
d)
145
11.

What is the midpoint between (3, -1) and (7, -5)?

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

12.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
13.

How do you know lines are parallel?

a)

Slopes are opposite reciprocals of each other

b)

Slopes are the same

14.

What do you need to find to find the equation of a perpendicular bisector

a)

midpoint

b)

equal slope

c)

negative reciprocal slope

15.

A rectangular garden has the dimensions of 13 ft. by 10 ft. If you were to walk from the bottom left corner of the garden to the top right corner, how far would it be? Round your answer to the nearest tenth.

a)

14.1

b)

12.5

c)

16.4

d)

15

16.

Find AB if A(3, -1) and B(7, -5)?

a)

0

b)

4

c)

4√2

d)

16

e)

√32

17.

Two figures are similar if

a)

Corresponding angles are congruent

b)

Corresponding sides are proportional

c)

corresponding sides are congruent

d)

corresponding angles are proportional

18.
Solve for x
a)
5
b)
90
c)
25
d)
10
19.
Solve for x
a)
6
b)
140
c)
20
d)
90
20.
Find the value of x.
a)
52
b)
63
c)
53
d)
58
21.
GH = 7y + 3, HI = 3y - 5, and GI = 9y +7. What is the value of y?
a)
9
b)
10
c)
-1
d)
2
22.
Find the area:
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
23.
What is the supplement angle to a 45° angle?
a)
45°
b)
180°
c)
135°
d)
100°
24.
Angle 2 and 5 are corresponding angles, m<2=60 degrees, and m<5=(x+25).  Find the value of x.
a)
x=120
b)
x=60
c)
x=45
d)
x=35
25.
Find the measure of the indicated angle. 
a)
145
b)
113
c)
102
d)
78
26.

Solve for x.

a)

A

b)

B

c)

C

d)

D

27.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
28.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
29.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
30.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
31.
Name a segment parallel to segment AC
a)
segment DE
b)
segment DB
c)
segment AC
d)
segment BC
32.
What is the value of x?
a)
10
b)
No Solution
c)
5
d)
2
33.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
34.
The rule for reflection over the y-axis is  
(x, y) --> _
a)
(-x, y)
b)
(x, -y)
c)
(y, x)
d)
(-y, x)
35.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
36.
The rule for rotation of 180 degrees is  
(x, y) --> _
a)
(-y, x)
b)
(-x, -y)
c)
(y, -x)
d)
(-y, -x)
37.
The rule for rotation of 90 degrees clockwise is  
(x, y) --> 
a)
(y, -x)
b)
(-y, x)
c)
(x, -y)
d)
(-x, y)
38.
(x,y) --> (x+a, y+b)
a)
translation
b)
rotation
c)
reflection
d)
dilation
39.
(x,y) --> (-x, y)
a)
Reflection over the y-axis
b)
Reflection over the x-axis
c)
Translation 
d)
Rotation 180 ° 
40.
Chose the correct transformation:
(x, y) --> (-y, x)
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
90 degree clockwise rotation or 270 degree counter clockwise rotation
d)
90 degree counter clockwise rotation or 270 degree clockwise rotation
41.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

42.

Given: OR ⊥\perp QP.  What should you conclude by definition of perpendicular?

a)

<ORP is a right angle

b)

QR + RP = QP

c)

<ORQ and <ORP are complementary

d)

<QRP = 180 °\degree  

43.

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

a)

<1 and <2 are a linear pair

b)

<1 and <3 are right angles

c)

<2 and <4 are vertical angles

d)

<1≅<3<1\cong<3  

44.

Given: <1 and <2 are supplementary. What can you conclude?

a)

m<1 + m<2 = 180

b)

m<1 + m<2 = 90

c)

m<1 = m<2

d)

nothing

45.

Given: <1 and <2 are a linear pair. Conclusion: m<1 + m<2 = 180. What is the reason that allows you to draw that conclusion?

a)

Angle addition postulate

b)

Definition of straight angle

c)

Linear Pair Postulate

d)

Definition of supplementary

46.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

47.

Given: AB is the segment bisector of PQ. What conclusion can you draw?

a)

PF = QF

b)

F is the midpoint of PQ

c)

m<PFA = m<QFA

d)

<PFQ is a straight angle

48.

If an angle is a straight angle, then its measure is 180°180\degree

 Given:  <ABC is a straight angle.
What conclusion can you draw?

a)

<ABC is not an acute angle

b)

<ABC is supplementary to another angle

c)

m<ABC = 180°180\degree  

d)

<ABC is a straight angle

49.

An animal has spots if and only if it's a cheetah. True or false?

a)

True because cheetahs have spots

b)

False because cheetahs don't have spots

c)

False because cheetahs are not the only animals that have spots

d)

True because cheetahs are fast

50.

Which of the following conclusions CANNOT be drawn just by looking at the diagram?

a)

GH and AB intersect at D

b)

<GDA and <HDB are vertical angles

c)

D is the midpoint of GH

d)

G, D, and H are collinear

51.

Which of the following CAN you conclude from the diagram?

a)

lines l and m are perpendicular

b)

<a and <b are adjacent

c)

<a and <b are complementary

d)

m<a = m<b

52.

Given: PL is the angle bisector of <RPQ


What can you conclude by definition of angle bisector?

a)

m<RPL = m<LPQ

b)

<RPL + m<LPQ = m<RPQ

c)

<RPQ is acute

d)

m<RPQ = 90

53.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
54.

What is the missing statement in the proof?

a)

Addition property

b)

Segment Addition Postulate

c)

Substitution property

d)

Transitive property

55.

When trying to prove two angles are supplementary, what must you show in your proof?

a)

that the angles are equal

b)

that the angles add up to 180 degrees

c)

that the angles are a linear pair

d)

that the angles are right angles

56.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
57.
If <M = <L then <L = <M
a)
Transitive POE
b)
Substitution POE
c)
Symmetric POE
d)
Reflexive POE
58.
If M is the midpoint of AB, then AM = MB
a)
Addition POE
b)
Def. of Midpoint 
c)
Reflexive POE
d)
Symmetric
59.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
60.
When starting a proof you always start with:
a)
Given information
b)
What it wants you to prove
c)
Equal Angles
d)
Linear Angles
61.
What is the missing statement in the proof?
a)
Addition p.o.e
b)
Segment Addition Postulate
c)
Substitution p.o.e
d)
Transitive p.o.e
62.

What is the REASON for Statement #6?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

63.

Three angles are given. Find the measure of the other 3 angles. (Choose 3 answers).

a)

70 degrees

b)

50 degrees

c)

75 degrees

d)

45 degrees

e)

55 degrees

64.

Classify this triangle by side length and by angle. (Choose 2 answers.)

a)

Scalene

b)

Acute

c)

Obtuse

d)

Isosceles

e)

Equilateral

65.

Classify this triangle by side length and by angle. (Choose 2 answers.)

a)

Obtuse

b)

Scalene

c)

Acute

d)

Equilateral

e)

Isosceles

66.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
67.

Which of the following completes the statement to form a valid conclusion?

If it is snowing heavily, then school will be canceled.

If school is canceled, the big test will not be given today.

It is snowing heavily, then...

a)

Look out for the snowplows while driving to school.

b)

The big test will not be given today.

c)

The roads will be hard to drive on.

d)

You should call the school to see if school is canceled.

68.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Perpendicular line to a point on the line
d)
Perpendicular bisector of a line segment
69.
Name the construction.
a)
Corresponding angles
b)
Parallel line to a point not on the line
c)
Perpendicular line to a point not on the line
d)
Angle bisector
70.
Name the construction.
a)
Angle bisector
b)
Di-sect an angle
c)
Copy an angle
d)
Vertical angles
71.
What was duplicated?
a)
line
b)
line segment
c)
ray
d)
angle
72.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
73.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
74.
In the image, line RS is _______ to line JQ.
a)
parallel
b)
congruent
c)
similar
d)
perpendicular
75.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
76.
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.
77.
When copying line segment AB using a straight edge and a compass, the compass should be used to:
a)
Draw an arc above point A
b)
Measure the length of segment AB
c)
Draw an arc between point A and point B
d)
Measure half the length of line segment AB
78.
Based on the construction, which conclusion is not always true?
a)
A
b)
B
c)
C
d)
D
79.
a)
A
b)
B
c)
C
d)
D
80.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

81.

Name the construction.

a)

midpoint

b)

perpendicular through a point on the line

c)

perpendicular through a point NOT on the line

d)

Circumcenter of a right triangle

82.
This construction forms a __________.
a)
Perpendicular Bisector
b)
Perpendicular Line
c)
A lowercase "t" flipped to the side
d)
Line Segment
83.

Identify the coordinates of the image with a REFLECTION over the y-axis.

A' ​ (a)  

B'​ (b)  

C'​ (c)  

D'​ (d)  

​

Choose from the below words
(6,6)
(3,6)
(8,3)
(5,3)
(-3,5)
(-6,6)
(3,8)
84.

An angle is 44° smaller than a second angle. The two angles are

supplementary. What is the measure of the larger angle? (Remember to draw the angle first before attempting to answer the question.)

a)

102°102\degree

b)

112°112\degree

c)

120°120\degree

d)

°136\degree136

85.
Question Image

If ∠BPE is a right angle, m∠BPD = 3x+5, and m∠EPD = 2x, then find x, m∠BPD, and m∠DPE.

a)

Not an answer

1.

50

b)

m∠DPE

2.

34

c)

m∠BPD

3.

56

d)

x

4.

17

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