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HW: Lesson 6-1 to 6-3 Review

Total questions: 91

Worksheet time: 8hrs 45mins

Name
Class
Date
1.

What is the formula to find the sum of the interior angles of any polygon?

a)

(n - 2)360

b)

180n

c)

(n-2)180

d)

((n-2)180)/n

e)

360/n

2.

What is the formula to find one interior angle of a regular polygon?

a)

(n-2)180

b)

((n-2)180)/360

c)

((n-2)360)/n

d)

360/n

e)

((n-2)180)/n

3.

What is the formula to find one exterior angle in a regular polygon?

a)

360/n

b)

(n-2)180

c)

it's always 360o

d)

180/n

e)

((n-2)180)/n

4.
What is the sum of the interior angles of the nonagon shown?
a)
720° 
b)
900° 
c)
1080° 
d)
1260° 
5.
What is the sum of the interior angles of the hexagon shown?
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
6.
What is the sum of the interior angles for a 24-gon?
a)
3960
b)
360
c)
15
d)
4280
7.
Find the value of X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
8.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
9.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
10.
What is the sum of exterior angles of a pentagon?
a)
180
b)
360
c)
540
d)
760
11.

The following polygon is a Regular Pentagon. Find the measure of EACH EXTERIOR angle of the polygon.

a)

50°

b)

55°

c)

72°

d)

355°

12.
Find the value of y.
a)
125
b)
135
c)
140
d)
110
13.
Which of the following statements is false?
a)
BD and AC are perpendicular
b)
BD and AC are congruent
c)
∠A and ∠C  are congruent
d)
BD bisects AC
14.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
15.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
16.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
17.
According the the definition of a kite, "A kite is a quadrilateral with..."
a)
2 pairs of OPPOSITE congruent sides.
b)
2 pairs of CONSECUTIVE congruent sides.
c)
4 congruent sides.
d)
congruent diagonals.
18.

Find the value of x and y in the kite

a)

x=55 y=35

b)

x=35 y=55

c)

x=145 y=35

d)

x=75 y=35

19.
Find the missing angle.
a)
65
b)
115
c)
180
d)
None of these
20.
Which of the following statements is false?
a)
all four angles are congruent
b)
the legs are congruent
c)
the diagonals are congruent
d)
the base angles are congruent
21.
What is the best definition of a parallelogram?
a)
quadrilateral with one pair of parallel sides 
b)
quadrilateral with two pairs of parallel sides
c)
any four sided figure with opposite sides congruent 
d)
a quadrilateral with two pairs of congruent sides
22.
What is the best definition of a rectangle? 
a)
a parallelogram with four right angles
b)
a quadrilateral with opposite sides congruent 
c)
a parallelogram with four congruent sides 
d)
A quadrilateral with opposite angles congruent 
23.
What is the best definition of a square?
a)
a rhombus
b)
A parallelogram with four right angles and four congruent sides
c)
a rectangle 
d)
 a nautical urchin that lives in a pineapple under the sea
24.
Rectangles are squares
a)
sometimes true
b)
always true
c)
never true
25.
Squares are rhombii
a)
sometimes true
b)
always true
c)
never true
26.
Find x.
a)
82
b)
92
c)
98
d)
102
27.
Find x.
a)
75
b)
85
c)
105
d)
95
28.
The figure is a parallelogram.  
Solve for x.  
a)
12
b)
4
c)
6
d)
2
29.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
30.

Find the value of x and y.

a)

x = 4, y = 4

b)

x = 4, y = 116

c)

x = 3, y = 116

d)

x = 116, y = 116

31.
All trapezoids have exactly one set of sides _____________.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
32.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
33.
Base angles are congruent for _______.
a)
trapezoids
b)
kites
c)
isosceles trapezoids
d)
circles
34.
The diagonals in an isosceles trapezoid are _______.
a)
congruent
b)
parallel
c)
consecutive
d)
bisecting
35.
Find the measure of ∠1:
a)
79°
b)
101°
c)
72°
d)
180°
36.
Find the measure of ∠2:
a)
96°
b)
88°
c)
84°
d)
92°
37.
Find the missing angle.
a)
60
b)
120
c)
140
d)
180
38.
Find m∠J in trapezoid JKLM.
a)
124⁰
b)
45⁰
c)
150⁰
d)
56⁰
39.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
40.
Kites and trapezoids are parallelograms.
a)
always
b)
sometimes
c)
never
41.
Solve for Angle 1 and Angle 2.
a)
1= 92, 2 = 46 degrees
b)
1 = 118, 2 = 118 degrees
c)
1 = 92, 2 = 92 
d)
1 = 136, 2 = 100 
42.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
43.
Find the measure of ∠3:
a)
90°
b)
42°
c)
48°
d)
24°
44.
Find the value of y.
a)
65
b)
110
c)
75
d)
None of these.
45.
I have 4 sides and two sets of adjacent sides that are congruent.
a)
Retangle
b)
Trapazoid
c)
Rhombus
d)
Kite
46.
What is the measure of angle 1?
a)
48
b)
101
c)
105.5
d)
360
47.
What is x?
a)
35
b)
45
c)
55
d)
90
48.

Given trapezoid ABCD, Find the value of x.

a)

7

b)

8

c)

85

d)

None of these

49.

What is the value of x in the illustration?

a)

3

b)

4

c)

5

d)

6

50.

What is the value of x on the kite.

a)

3

b)

15

c)

13

d)

23

51.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

52.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

53.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

54.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

55.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Not Parallelogram

b)

Opposite Sides are congruent

c)

Opposite Angles are congruent

d)

1 set of Opposite Sides is Parallel and Congruent

56.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Diagonals Bisect eachother

b)

Opposite Sides Congruent

c)

Opposite Angles congruent

d)

1 set of Opposite Sides is Parallel and Congruent

57.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Diagonals bisect eachother

b)

Opposite Sides Congruent

c)

Opposite Angles Congruent

d)

1 set of Opposite Sides is Parallel and Congruent

58.
State which method we can use to show that the quadrilateral is a parallelogram. 
a)
Both pairs of opposite angles are congruent.
b)
Both pairs of opposite sides are congruent.
c)
Both pairs of diagonals bisect each other.
d)
Both pairs of opposite sides are parallel. 
59.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes, all opposite sides are congruent

b)

yes, opposite angles are congruent

c)

yes, opposite sides are parallel

d)

yes, consecutive interior angles are supplementary

60.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes, opposite sides are congruent

b)

yes, opposite sides are parallel

c)

no, not all pairs of opposite sides are congruent

d)

no, it is not a quadrilateral

61.

State which method we can use to show that the quadrilateral is a parallelogram.

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

The diagonals bisect each other.

d)

Both pairs of opposite sides are parallel.

62.

Polygon ABCD is a Quadrilateral which of the following pieces of information would prove that ABCD is a parallelogram?

a)

DB=AC

b)

DA=BC

c)

DA||BC

d)

DA||BC, DA=BC

63.

Is the quadrilateral a parallelogram?

a)

Yes; one pair of opposite sides are parallel

b)

Yes; one pair of opposite sides are congruent

c)

Yes; one pair of opposite sides are parallel and congruent

d)

No; only one pair of sides are parallel

e)

No; only one pair of sides are congruent

64.

Determine if the quadrilateral is a parallelogram and justify.

a)

Is a parallelogram because, opposite sides parallel

b)

Is a parallelogram because, opposite sides congruent

c)

Is a parallelogram because, opposite angles congruent

d)

Is a parallelogram because, one set of sides is parallel and congruent

e)

Not a parallelogram.

65.

Determine if the quadrilateral is a parallelogram and justify.

a)

Is a parallelogram because, opposite sides parallel

b)

Is a parallelogram because, opposite sides congruent

c)

Is a parallelogram because, opposite angles congruent

d)

Is a parallelogram because, one set of sides is parallel and congruent

e)

Not a parallelogram.

66.

Determine if the quadrilateral is a parallelogram and justify.

a)

Is a parallelogram because, opposite sides parallel

b)

Is a parallelogram because, opposite sides congruent

c)

Is a parallelogram because, opposite angles congruent

d)

Is a parallelogram because, one set of sides is parallel and congruent

e)

Not a parallelogram.

67.

Find the sum of the angle measures in this polygon.

a)

1080

b)

540

c)

1440

d)

720

68.

Find the sum of the angles measures of a 21-gon.

a)

3240

b)

3600

c)

3780

d)

3420

69.

Find the sum of the angle measures for a 42-gon.

a)

7560

b)

7200

c)

7380

d)

7020

70.

Find the sum of the angle measures of a 50-gon

a)

8820

b)

9000

c)

8640

d)

8460

71.

Find the sum of the angle measures of a 205-gon

a)

36540

b)

36900

c)

36720

d)

37080

72.

Find the measure of one angle of this REGULAR polygon.

a)

130

b)

140

c)

150

d)

160

73.

Find the measure of one angle in a REGULAR octagon.

a)

155

b)

145

c)

135

d)

125

74.

Find the measure of n.

a)

108

b)

156

c)

90

d)

81

75.

Find the measure of n.

a)

152

b)

127

c)

90

d)

360

76.

Find the measure of n.

a)

156

b)

147

c)

99

d)

140

77.

Find the measure of an exterior angle for a regular 12-gon.

a)

30

b)

60

c)

90

d)

120

78.

Find the measure of an exterior angle for a regular 24-gon

a)

60

b)

45

c)

30

d)

15

79.

Find the measure of an exterior angle of a regular 45-gon.

a)

10

b)

8

c)

6

d)

4

80.

The sum of the angle measures of a polygon with n sides is 900. What is n?

a)

6

b)

7

c)

8

d)

9

81.

The sum of the angle measures of a polygon with n sides is 1440. What is n?

a)

10

b)

9

c)

8

d)

7

82.

The sum of the angle measures of a polygon with n sides is 2340. What is n?

a)

60

b)

45

c)

30

d)

15

83.

Carly built a Ferris wheel using her construction toys. The frame of the wheel is a regular 16-gon. Find the sum of the angle measures of the Ferris wheel and the measure of one angle.

a)

2520 and 16

b)

2520 and 14

c)

2880 and 16

d)

2880 and 14

84.

Find the value of x and y.

a)

x=70 y=70

b)

x=22 y=70

c)

x=70 y=22

d)

x=88 y=72

85.
Find the measure of ONE exterior angle of a regular decagon.
a)
36
b)
10
c)
18
d)
40
86.
A polygon with six sides is called a(n) ______________.
a)
hexagon
b)
pentagon
c)
decagon
d)
septagon
87.
A polygon with 5 sides is called a(n) _____________.
a)
pentagon
b)
hexagon
c)
septagon
d)
quadrilateral
88.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
89.
The sum of the exterior angles of a polygon is __________________ where n is the number of sides.
a)
360
b)
n
c)
(n - 2)180
d)
(n - 1)180
90.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
91.

Solve for x.

a)

900⁰

b)

27⁰

c)

35⁰

d)

21⁰

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