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Chapter 5 Review

Total questions: 74

Worksheet time: 3hrs 7mins

Name
Class
Date
1.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
2.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
3.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
4.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

5.
Find what the value of x.
a)
118
b)
108
c)
28
d)
58
6.
Find the value of x
a)
16
b)
8
c)
32.8
d)
39.2
7.
Find the value of t
a)
-1
b)
5
c)
5.14
d)
7
8.
Name a pair of angles that form a linear pair.
a)
Angles 1 and 2
b)
Angles 2 and 4
c)
Angles 5 and 8
d)
Angles 9 and 10
9.
Name a pair of angles that are vertical.
a)
Angles 4 and 5
b)
Angles 7 and 9
c)
Angles 8 and 9
d)
Angles 5 and 7
10.
Solve for b
a)
52
b)
90
c)
38
d)
360
11.
Solve for x.
a)
78
b)
13
c)
26
d)
90
12.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
13.
Solve for x.
a)
71
b)
-3
c)
35
d)
-19
14.
Find the measure of each angle indicated.
a)
88
b)
30
c)
110
d)
85
15.
Solve for x.
a)
13
b)
3
c)
1
d)
4
16.
Solve for x.
a)
8
b)
12
c)
2
d)
4
17.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

18.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
19.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
20.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
21.
What is the special segment DE called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
22.
What is the special segment AD called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
23.
What is the special segment AD called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
24.
What is the special segment AS called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
25.
Given segment AM is a median in ΔABC. Find the length of segment BC.
a)
34
b)
6
c)
17
d)
27
26.
Find HG
a)
28
b)
14
c)
41
d)
7
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
35.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
36.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
37.
What would be the correct "given" statements for this diagram?
a)
T is the midpoint of segment BG and
∡B≅∡G
b)
∡B≅∡G and ∡A≅∡W
c)
T is the midpoint of segment BG and ∡A≅∡W
d)
T is the midpoint of segment AW and ∡A≅∡W
38.
State the angle relationship and find the measure of angle 3
a)
Alternate Exterior
94
b)
Alternate Exterior
86
c)
Alternate Interior
86
d)
Alternate Interior
94
39.
State the angle relationship and find the measure of angle 3
a)
Alternate Interior
50
b)
Alternate Interior
130
c)
Corresponding
130
d)
Corresponding
50
40.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
41.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
42.
Supplementary angles equal what?
a)
45 degrees
b)
360 degrees
c)
180 degrees
d)
90 degrees
43.
Two angles added together to produce 90 degrees
a)
Parallel lines
b)
Transversal
c)
Complementary
d)
Corresponding angles
44.
Angle 1 = 27o
Find the measure of angle 2
a)
27o
b)
153o
c)
63o
d)
90o
45.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
46.
a)
Vertical, 23
b)
Supplementary, 67
c)
Complementary, 67
d)
Supplementary, 157
47.
When proving that a quadrilateral is a trapezoid, it is necessary to show...
a)
only one set of parallel side
b)
one set of parallel sides and one set of non-parallel sides
c)
one set of parallel sides and one set of congruent sides.
d)
two sets of parallel sides
48.
One way to show a parallelogram is a rhombus is to show.
a)
Both pairs of opposite sides are parallel.
b)
The diagonals are perpendicular
c)
The diagonals bisect each other
d)
One pair of opposite sides is both congruent and parallel
49.
How do you prove a quadrilateral is a Rhombus?
a)
All sides are congruent
b)
Diagonals are congruent
c)
All sides are congruent and diagonals are congruent
d)
All sides are parallel
50.
What are the quadrilaterals whose diagonals bisect each other?
a)
rhombus and square
b)
square and trapezoid
c)
rectangle and rhombus
d)
rectangle and square
51.
Name the quadrilateral with four right angles and opposite sides parallel. 
a)
trapezoid, rectangle
b)
rectangle, square
c)
triangle, square, rectangle
d)
rhombus, rectangle, square
52.
Which quadrilateral has exactly one pair of parallel sides?
a)
square
b)
rectangle
c)
trapezoid
d)
rhombuw
53.
Which quadrilaterals have diagonals that intersect at right angles?
a)
rhombus and square
b)
rhombus and trapezoid
c)
square and rectangle
d)
trapezoid and rhombus
54.
Which quadrilateral is NOT a parallelogram?
a)
rectangle
b)
square
c)
trapezoid
d)
rhombus
55.
A ________ is a polygon with 4 right angles and 4 equal sides.
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
56.
A rectangle is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
57.
The diagonals of a parallelogram
a)
are always congruent
b)
bisect each other
c)
are never congruent
d)
parallel
58.
A rhombus is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
59.
The opposite sides of a parallelogram are
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
60.
The diagonals of a square are
a)
parallel
b)
congruent
c)
perpendicular
d)
congruent and perpendicular
61.
The diagonals of a rhombus 
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
62.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides parallel
b)
Opposite angles equal
c)
Opposite sides equal and parallel
d)
Not enough info
63.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides equal
b)
Opposite sides parallel
c)
Diagonals bisect each other
d)
Not enough info
64.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite angles equal
b)
Diagonals bisect each other
c)
Opposite sides parallel
d)
Not enough info
65.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides parallel
b)
Opposite sides equal
c)
Opposite sides parallel and equal
d)
Not enough info
66.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides equal
b)
Diagonals bisect each other
c)
Opposite angles equal
d)
Not enough info
67.
The diagonals of a parallelogram always 
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
68.
Opposite angles of a parallelogram are ____________. 
a)
Congruent
b)
Supplementary
c)
Complementary
d)
Alternate Interior Angles
69.
ABCD is a rectangle.  m∠BCE = 4x-23 and m∠DCE = 5+5x.  Find m∠BEC. 
a)
25
b)
12
c)
130
d)
32
70.
Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.
a)
39
b)
4
c)
4.8
d)
-4
71.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
72.
Find the missing angle.
a)
65°
b)
85°
c)
75°
d)
70°
73.
What is the value of angle F?
a)
9
b)
12
c)
90
d)
110
74.
What is the value of x?
a)
4
b)
360
c)
12
d)
6