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Geometry Midterm Review

Total questions: 69

Worksheet time: 4hrs 10mins

Name
Class
Date
1.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
2.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
3.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
4.
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)
5.
What is the value of "x"?
a)
19
b)
20
c)
21
d)
22
6.
What is the value of y?
a)
29
b)
119
c)
58
7.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
8.
1. Find X 
a)
28
b)
5
c)
55
d)
40
9.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

10.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
11.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
12.
The picture represents a compass and straightedge construction of _________?
a)
Copy an angle
b)
Bisect an angle
c)
Copy a line segment
d)
Bisect a line segment
13.

Solve for x

a)

9

b)

5

c)

7

d)

3

14.
What additional information is required to prove the two triangles are congruent by ASA?
a)
A)
b)
B)
c)
C)
d)
D)
15.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

16.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
17.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

18.

If <a = 63* and <b = 88*, what is the measure of <c?

a)

29*

b)

30*

c)

90*

d)

180*

19.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
20.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
21.
Which transformation is NOT a rigid motion (the size changes)?
a)
reflection
b)
rotation
c)
dilation
d)
translation
22.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
23.
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)
24.
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
25.
What scale factor was used to produce the image?
a)
2
b)
3
c)
1/3
d)
1/2
26.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
27.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
28.

A dilation produces a similar figure

a)

True

b)

False

29.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

30.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

31.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

32.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

33.
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.
34.
What postulate proves these triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
ASA
35.
What postulate proves these triangles congruent?
a)
SAS
b)
HL
c)
AAS
d)
ASA
36.

Fill in the two missing steps in the proof.

a)

Transitive Property, SAS (Side-Angle-Side)

b)

Reflexive Property, SAS (Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Theorem

d)

Transitive Property, SSS (Side-Side-Side)

37.

Determine the correct response for #5 in the proof.

a)

All right angles are congruent

b)

Reflexive Property

c)

Triangle HEF is congruent to Triangle GFE

d)

Corresponding Parts of Congruent Triangles are Congruent

38.
Who is this?
a)
Chuck the Elf
b)
Friend the Elf
c)
Buddy the Elf
d)
Barry the Elf
39.

Solve for y.

a)

10.67

b)

6

c)

8

d)

12.33

40.

Solve for x.

a)

32

b)

24

c)

28

d)

30

41.

In order to solve for y, which proportion would you need to set up?

a)
b)
c)
d)
42.

Find the value of z.

a)

6

b)

12√5

c)

12

d)

5

43.
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.
44.
What is the inverse?
If Jason does not go out to dinner, then he will come to the volleyball game.
a)
If Jason goes out to dinner, then he will not come to the volleyball game.
b)
If Jason comes to the volleyball game, then he will not go out to dinner.
c)
If Jason comes to the volleyball game, then he will go out to dinner.
d)
If Jason does not go out to dinner, then he will not come to the volleyball game.
45.
Original: 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.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
46.
p→q
What is the inverse?
a)
q→p
b)
∼p→∼q
c)
∼q→∼p
d)
p→∼q
47.
p→q
What is the converse?
a)
q→p
b)
∼p→∼q
c)
∼q→∼p
d)
p→∼q
48.
p→q
What is the contrapositive?
a)
q→p
b)
∼p→∼q
c)
∼q→∼p
d)
p→∼q
49.

A counterexample is an example that proves a conjecture to be true.

a)

True

b)

False

50.

To fully disprove a conjecture, one needs to find only ONE counterexample.

a)

True

b)

False

51.
If it is an angle, then it is acute. What is an appropriate counterexample?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
52.
Find the value of x.
a)
7
b)
8
c)
85
d)
None of these
53.
A square is a rectangle.
a)
Always
b)
Sometimes
c)
Never
54.
A rectangle is a square.
a)
Always
b)
Sometimes
c)
Never
55.

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3.

a)

(1,5)

b)

(3,7)

c)

(4,4)

d)

(5,8)

56.

Given the points A(7,-2) and B(-2,4), find the coordinates of the point P on directed line segment BA that partitions BA in a the ratio 1:2.

a)

(3,1)

b)

(4,3)

c)

(1,2)

d)

(0,1)

57.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
58.

Number Line Problem:

Find the point M that will divide the segment PQ in a 2:5 ratio. Point P is at -10 and Point Q is at 4.

a)

-8

b)

-6

c)

0

d)

2

59.

Determine the ratio of the directed line segment AB when partitioned by point P.

a)

1:2

b)

2:1

c)

1:1

d)

3:1

e)

1:4

60.

How many nights is the celebration of Hanukkah?

a)

5

b)

6

c)

7

d)

8

61.

In Home Alone, where are the McCallisters going on vacation when they leave Kevin behind?

a)

Paris

b)

London

c)

New York

d)

Sydney

62.

How many ghosts show up in A Christmas Carol?

a)

2

b)

3

c)

4

d)

5

63.

In the movie Elf, what is an elf's four main food groups?

a)

Candy, candy canes, candy corn and syrup

b)

Candy, pasta, syrup and candy canes

c)

Candy, coke, pasta and candy corn

d)

Candy, spaghetti, syrup and candy corn

64.

What Christmas decoration is actually a parasitic plant?

a)

Poinsettia

b)

Holly

c)

Wreath

d)

Mistletoe

65.

In the story "A Christmas Carol", what is the name of Scrooge's business partner?

a)

Bob Cractchet

b)

Jacob Marley

c)

Sam Crumpet

d)

Ebenezer Macduck

66.

On what day does Kwanzaa begin?

a)

December 1

b)

December 15

c)

December 25

d)

December 26

67.

Diwali is a Hindu celebration known as...

a)

The Fesitval of Gifts

b)

The Festival of Lights

c)

The Festival of the Gods

d)

The Festival of Sweets

68.
How do you say Merry Christmas in Spanish?
a)
Noel
b)
Feliz Navidad
c)
Buenos Dias 
d)
Hola
69.

What is the name of the Grinch's dog?

a)

Max

b)

Doug

c)

Ralphie

d)

Chip

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