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Worksheets

Review of Unit 2

Total questions: 100

Worksheet time: 3hrs 47mins

Name
Class
Date
1.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
2.
Solve for x. 
a)
10
b)
18
c)
20
d)
12
3.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
4.
a)

LJK

b)

JKL

c)

KJL

d)

LKJ

5.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
6.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
7.

Find the measure of the indicated angle.

a)

135°135\degree  

b)

55°55\degree  

c)

45°45\degree  

d)

60°60\degree  

8.
Solve for x.
a)
16
b)
11
c)
50
d)
6
9.

Angles that lie on opposites sides of the transversal and outside of the parallel lines.

a)

Alt. Int. Angles

b)

Vertical Angles

c)

Alt. Ext. Angles

d)

Same-Side Int. Angles

10.

Angles that lie on the same side of the transversal and in corresponding positions are called...

a)

Linear Pair

b)

Alt. Int. Angles

c)

Corresponding Angles

d)

Alt. Ext. Angles

11.

Angles between two parallel lines and on the same side of a transversal.

a)

Same Side Int. Angles

b)

Same Side Ext. Angles

c)

Vertical Angles

d)

Corresponding Angles

12.

If m∠6 = 59, what is m∠3?

a)

118

b)

121

c)

59

d)

180

13.

If m∠2 = 60, what is m∠4?

a)

180

b)

120

c)

60

d)

30

14.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
15.

Find the value of x.

a)

x = 13

b)

x = 3.75

c)

x = 53

d)

x = 16

16.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
17.

Find the value of x. 

a)
28
b)
5
c)
55
d)
40
18.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
19.

How do we know that the triangles are congruent?

a)

HL

b)

SSS

c)

SAS

d)

ASA

20.

How do we know that the triangles are congruent?

a)

SSS

b)

ASA

c)

SAS

d)

HL

21.

How do we know that the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

22.

How do we know that the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAA

23.

Is this ASA?

a)

Yes

b)

No

24.

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

a)

Substitution

b)

Commutative

c)

Reflexive

d)

CPCTC

e)

Vertical

25.

What is the "reason" for step 4 of the proof?

a)
proof
b)
AAS
≅ Thrm
c)
ASA
≅ Thrm
d)
SAS
≅ Thrm
e)

CPCTC

26.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)
NM = AM
b)
NL = CA
c)
∠M≅∠B
d)
∠N≅∠C
27.

What should the first reason be?

a)

Given

b)

Reflexive

c)

SSS

d)

ASA

28.

What is the reason for #3?

a)

Reflexive

b)

Vertical angles are congruent

c)

Alternate interior angles

d)

Complementary angles

e)

Given

29.

What extra information would make this true?

a)

∠C≅∠F

b)

AB ≅ DE

c)

AC ≅ DF

d)

none of these

30.

If B is the midpoint of AC\overline{AC}  , then ABBC\overline{AB}\cong\overline{BC}  

a)

Definition of midpoint

b)

Definition of angle bisector

c)

Definition of segment bisector

d)

Definition of perpendicular lines

31.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
32.

What is #2 Reason?

a)

Same Line

b)

Reflexive Property

c)

Segment Bisector

d)

Definition of Midpoint

33.

What is the "statement" and "reason" for Step #5?

a)

HMAT\overline{HM}\cong\overline{AT}  

Opposite sides of a square

b)

HMAT\overline{HM}\cong\overline{AT}  

CPCTC

c)

ΔMAHΔTHA\Delta MAH\cong\Delta THA  

CPCTC

d)

ΔMAHΔTHA\Delta MAH\cong\Delta THA  

ASA

34.
What is the "statement" for step 2 of the proof?
a)
∆BAC≅∆DAC
b)
BC=DC
c)
∡B≅∡D
d)
∡BAC≅∡DAC
35.

What type of triangle is shown?

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

36.

What Type of Triangle is this? Select all that apply.

a)

Right

b)

Obtuse

c)

Acute

d)

Isosceles

e)

Scalene

37.

What Type of Triangle is this?

a)

Right Angled triangle

b)

Equilateral triangle

c)

Isosceles triangle

d)

Scalene Triangle

e)

Acute Triangle

38.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
39.
Can the sides of a triangle have lengths 4, 11, and 13?
a)
Yes
b)
No
40.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
41.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
42.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

43.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
44.

Order the sides from longest to shortest.

a)
AC
b)
BA
c)
BC
1)
2)
3)
45.

List the angles from smallest to largest.

a)
∠A
b)

∠C

c)

∠B

1)
2)
3)
46.
a)
72
b)
67
c)
65
d)
54
47.

Solve for y

a)

70

b)

40

c)

140

d)

Not enough information

48.

Solve for x

a)

70

b)

40

c)

140

d)

Not enough information

49.

What is the measure of ∠S?

a)

not enough information

b)

30

c)

60

d)

180

50.

Find the value of x.

a)

43

b)

13

c)

17

d)

not enough information

51.

Find the value of x.

a)

11

b)

22

c)

8.5

d)

17

52.

Solve for x.

a)

9

b)

8

c)

7

d)

6

53.

P, N, and M are all midpoints.

Name the parallel segment.

a)
WY
b)
YX
c)
WX
d)
PN
54.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
55.

Solve for x.

a)
0
b)
9
c)
-1.5
d)
2
56.

What type of polygon is this?

a)

Quadrilateral

b)

Pentagon

c)

Triangle

d)

Hexagon

e)

Octagon

57.

What type of polygon is this?

a)

Quadrilateral

b)

Pentagon

c)

Octagon

d)

Heptagon

e)

Triangle

58.
Name this polygon!
a)
Quadrilateral 
b)
Hexagon
c)
Octagon
d)
Pentagon
59.
Name the polygon.
a)
Pentagon
b)
Heptagon
c)
Decagon
d)
Nonagon
60.

Name the polygon.

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Nonagon

e)

Decagon

61.

This quadrilateral is a

a)

Rectangle

b)

Trapezium

c)

Square

d)

Rhombus

62.

The name of this quadrilateral is

a)

Square

b)

Kite

c)

Rectangle

d)

Diamond

63.

What is the name of this quadrilateral?

a)

Trapezium

b)

Parallelogram

c)

Rectangle

d)

Kite

64.

Name this quadrilateral.

a)

Trapezoid 

b)

Isosceles Trapezoid 

c)

Parallelogram 

d)

Rectangle 

e)

Kite

65.

The figure shown is a parallelogram.

Find the measure ot angle WZY\angle WZY .

a)

75

b)

105

c)

180

d)

28

66.

The figure shown is a parallelogram.

Find the measurement of XYZ\angle XYZ .

a)

75

b)

105

c)

180

d)

24

67.

The figure shown is a parallelogram.

Find the measurement of side WZ.

a)

24

b)

105

c)

180

d)

28

68.

The figure shown is a parallelogram.

Find the value of d.

a)

56

b)

124

c)

19

d)

42

69.

The figure shown is a parallelogram.

Find the value of f.

a)

14

b)

36

c)

3

d)

12

70.
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
a)
A
b)
B
c)
C
d)
D
71.
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
72.
When bisecting an angle, the straightedge should be used to:
a)
Mark the point M
b)
Measure the angle AOB
c)
Copy the angle with an arc
d)
Connect point M and vertex O
73.
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.
74.

What construction tool is this?

a)
Compass
b)
Circle creator
c)
Pencil swingy-thing
d)
Arc maker
e)

Straight edge

75.
What kind of construction is displayed in this picture?
a)
A circle inscribed in a hexagon
b)
A hexagon inscribed in a circle
c)
A hexagon
d)
A circle
76.
Select the best answer choice.
a)
A
b)
B
c)
C
d)
D
77.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
78.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
79.
Name the point of concurrency
a)
incenter
b)
circumcenter
c)
centroid
d)
orthocenter
80.
Name the point of concurrency
a)
centroid
b)
orthocenter
c)
incenter
d)
circumcenter
81.
What is point J called?
a)
centroid
b)
incenter
c)
circumcenter
d)
orthocenter
82.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
83.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
84.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
85.

If DK = 24, then JK = 

a)

12

b)

48

c)

24

d)

36

86.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
87.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
88.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

89.

Point H is the centroid of the triangle.

Solve for x.

a)

1

b)

3

c)

2

d)

4

90.

If FG = 7, then KG =

a)

7

b)

14

c)

21

d)

3.5

91.

X is the centroid of the triangle. If CX = 11, find WC.

a)

11

b)

5.5

c)

16.5

d)

22

92.

X is the centroid of the triangle. If BW = 11, find AB.

a)

11

b)

5.5

c)

16.5

d)

22

93.

X is the centroid of the triangle. If AY = 10, find CY.

a)

15

b)

5

c)

10

d)

20

94.

Point W is the centroid of the triangle. Solve for x.

a)

30

b)

7

c)

15

d)

2

95.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

96.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

97.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36
98.
Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees
99.

The 3 medians of the triangle are drawn.

ZX=x+7ZX=x+7  

AX=3x1AX=3x-1  

Find the value of x.

a)

4

b)

8

c)

15

d)

10

100.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA