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Worksheets

Units 1-6 & 8 Review

Total questions: 76

Worksheet time: 2hrs 25mins

Name
Class
Date
1.

This geometric object has no dimension and is represented as a single dot in space

a)

point

b)

line

c)

plane

d)

ray

2.

These two lines will never intersect

a)

Parallel Lines

b)

Perpendicular lines

c)

Bisector

d)

Not possible

3.

Formed by two rays that share a common end point

a)

Angle

b)

Opposite Rays

c)

Congruent

d)

Line

4.

Two angles that add to be 90 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Right Angle

5.

The Pythagorean Theorem only works on what type of triangle?

a)

Scalene

b)

Isosceles

c)

Obtuse

d)

Right

e)

All Triangles

6.

If the measure of ABC=98\angle ABC=98^{\circ}  and BD\overrightarrow{BD}  is an angle bisector. What is the measure of ABD and DBC\angle ABD\ and\ \angle DBC  ?

a)

196

b)

98

c)

49

d)

Can't be determined

7.

The symbol ⊥ is used for which of the following notations?

a)

Parallel Lines

b)

Perpendicular lines

c)

Congruency

d)

Opposite Rays

8.

If the angles of one of two similar triangles are 30, 60, and 90 degrees, what are the angles for the other triangles?

a)

60, 120, 180

b)

30, 60, 90

c)

45, 45, 90

d)

Not enough information

9.

Two angles that add to be 180 degrees

a)

Supplementary

b)

Complementary

c)

Angles

d)

Straight Line

10.

Name the angle in the image

a)

∠OAB

b)

∠OBA

c)

∠AOB

d)

∠BOA

11.

means having the same shape and size

a)

congruent

b)

small

c)

large

d)

equal

12.

What is the opposite of squaring a number?

a)

divide

b)

square root

c)

fractions

d)

multiply

13.

Angles on a line add up to......

a)

90

b)

180

c)

160

d)

360

14.
What is it called when points lie on the same line.
a)
Midpoint
b)
Coplanear
c)
Segment Bisector
d)
Collinear
15.
What are the arrows pointing to?
a)
Ray
b)
Endpoints
c)
Midpoint
d)
Vertex
16.
Consists of 2 endpoints and all the points in between.
a)
Ray
b)
Line
c)
Line Segment
d)
Angle
17.
What is this Symbol called?
a)
Congruent
b)
Equal
c)
Parallel Lines
d)
Angle
18.

Which of the following is a segment?

a)
b)
c)
d)
19.
What do you call the common endpoint of two rays? 
a)
Angle
b)
Segment
c)
Ray
d)
Vertex 
20.
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.
21.

Which image shows the construction of a perpendicular bisector?

a)
b)
c)
d)
22.

Which of the following shows the construction of an angle bisector?

a)
b)
c)
d)
23.

What geometric construction is shown in the diagram below?

a)

an angle bisector

b)

a line parallel to a given line

c)

an angle congruent to a given angle

d)

a perpendicular bisector of a segment

24.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

25.

Reflect Point C over the line x = 1

a)

(-1, 2)

b)

(3, 0)

c)

(0, 2)

d)

(3, -1)

26.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
27.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

28.
A scale factor of less than one means
a)
that the image will be larger than the pre-image.
b)
That the image will be the same as the pre-image.
c)
That you need to subtract that amount off  of each side.
d)
That the image will be a reduction of the pre-image.
29.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
30.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

31.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

32.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

33.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

34.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

35.

ECD=122°\angle ECD=122\degree  and  BCE=36°\angle BCE=36\degree . Find the measure of  BCD\angle BCD  . 

a)

BCD=158°\angle BCD=158\degree  

b)

BCD=86°\angle BCD=86\degree  

c)

BCD=58°\angle BCD=58\degree  

d)

BCD=144°\angle BCD=144\degree  

36.

What is the relationship and measure of angle 7?

a)

Linear Pair, 124

b)

Linear Pair, 56

c)

Complementary, 124

d)

Complementary, 56

37.

What is the relationship and measure of angle 4?

a)

Corresponding, 124

b)

Corresponding, 56

c)

Consecutive interior, 56

d)

Consecutive interior, 124

38.

Which angle would be equal to angle 1?

a)

angle 4

b)

angle 3

c)

angle 2

d)

angle 6

39.

Are the triangles similar?

a)

Yes

b)

No

40.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

41.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

42.

Find the measure of  T\angle\ T  

a)

71

b)

98

c)

109

d)

82

43.

CB = ?\overline{CB}\ =\ ?  

a)

I\angle I  

b)

GI\overline{GI}  

c)

IB\overline{IB}  

d)

BG\overline{BG}  

44.

Which side of ΔYDW corresponds with side AC in ΔABC  

a)

Side YW

b)

Side DW

c)

Side YD

45.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
46.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
47.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
48.

If AC = 42, find DF.

a)

21

b)

84

c)

14

d)

28

49.

TS\overline{TS}  is a midsegment of ΔGHI\Delta GHI
Solve for the value of x.


Remember the formula... 2(midsegment) = opp. side

a)

4

b)

6

c)

8

d)

10

50.

Find the value of x

a)

6.75

b)

48

c)

65

d)

53

51.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
52.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

53.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

54.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

55.

which segment above represents the radius

a)

AC

b)

AB

c)

LM

56.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
57.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
58.
Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
59.
Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
60.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

61.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
62.
Given two secants, solve for x.
a)
40°
b)
70°
c)
110°
d)
150°
63.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
64.
QS is a tangent to circle P.  Find QS.
a)
144
b)
14
c)
12
d)
13
65.
How many degrees are in a cirlce?
a)
90
b)
180
c)
270
d)
360
66.

Solve for x.

a)

2

b)

3

c)

4

d)

12

67.
a)
9
b)
10
c)
15
d)
14
68.
a)
16
b)
19
c)
21
d)
25
69.

. What is the probability that a student has a brother given that they do not have a sister?

*Write your answer as a fraction*

(a)  

70.

What is the probability that a student plays a sport given that they play an instrument?

*Write your answer as a fraction*

(a)  

71.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
72.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
73.
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
a)
Independent
b)
Dependent
74.

What is the probability that a randomly selected student prefers athletics given that the student prefers math? Leave as a fraction.

a)

       12\frac{1}{2}  

b)

       310\frac{3}{10}  

c)

      49\frac{4}{9}  

d)

      29\frac{2}{9}  

75.

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?

a)

122\frac{1}{22}

b)

611\frac{6}{11}

c)

916\frac{9}{16}

d)

2122\frac{21}{22}

76.

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

a)

320\frac{3}{20}

b)

16\frac{1}{6}

c)

1556\frac{15}{56}

d)

815\frac{8}{15}