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6.1 and 6.2 Review

Total questions: 71

Worksheet time: 3hrs 56mins

Name
Class
Date
1.

What is the sum of the interior angles of a regular pentagon?

a)

540 degrees

b)

360 degrees

c)

720 degrees

d)

180 degrees

2.

What is the sum of the interior angles of a regular 15-gon?

a)

2340 degrees

b)

1980 degrees

c)

2160 degrees

d)

2520 degrees

3.

What is the measure of one interior angle of a regular octagon?

a)

135 degrees

b)

120 degrees

c)

140 degrees

d)

150 degrees

4.

What is the measure of one exterior angle of a regular decagon?

a)

36 degrees

b)

30 degrees

c)

40 degrees

d)

45 degrees

5.

Find the measure of angle S in the quadrilateral TUSR.

a)

117°

b)

97°

c)

107°

d)

113°

6.

What is a vertex in the context of polygons?

a)

A line segment connecting two points

b)

A point where two sides of a polygon meet

c)

The longest side of a polygon

d)

The area inside a polygon

7.

What is an interior angle in a polygon?

a)

An angle formed outside the polygon

b)

An angle formed between two adjacent sides inside the polygon

c)

An angle formed by extending one side of the polygon

d)

An angle that measures more than 180 degrees

8.

What is an exterior angle in a polygon?

a)

An angle formed inside the polygon

b)

An angle formed by extending one side of the polygon

c)

An angle that measures exactly 90 degrees

d)

An angle that measures less than 90 degrees

9.

What defines a convex polygon?

a)

A polygon with all interior angles less than 180 degrees

b)

A polygon with at least one interior angle greater than 180 degrees

c)

A polygon with all sides of equal length

d)

A polygon with all angles equal

10.

What defines a concave polygon?

a)

A polygon with all sides of equal length

b)

A polygon with at least one interior angle greater than 180 degrees

c)

A polygon with all angles equal

d)

A polygon with all interior angles less than 180 degrees

11.

What is an equilateral polygon?

a)

A polygon with all sides of equal length

b)

A polygon with all angles equal

c)

A polygon with at least one side longer than the others

d)

A polygon with all interior angles less than 180 degrees

12.

What is an equiangular polygon?

a)

A polygon with all sides of equal length

b)

A polygon with all angles equal

c)

A polygon with at least one angle greater than 180 degrees

d)

A polygon with all interior angles less than 180 degrees

13.

What defines a regular polygon?

a)

A polygon with all sides and angles equal

b)

A polygon with all sides of equal length

c)

A polygon with at least one angle greater than 180 degrees

d)

A polygon with all interior angles less than 180 degrees

14.

What is a diagonal in a polygon?

a)

A line segment connecting two non-adjacent vertices

b)

A line segment connecting two adjacent vertices

c)

A line segment that is the longest side of the polygon

d)

A line segment that bisects an angle of the polygon

15.
What is the measure of a single exterior angle for a regular pentagon?
a)
360
b)
108
c)
72
d)
36
16.

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°

17.

What is the measure of one EXTERIOR angle of a regular octagon?

a)

60

b)

45

c)

1080

d)

135

18.

Find the measure of EACH EXTERIOR angle of a 18-gon.

a)

160°

b)

360°

c)

20°

d)

2280°

19.
Find the value of y.
a)
125
b)
135
c)
140
d)
110
20.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
21.

Find the measure of the missing angle

a)

50°

b)

35°

c)

100°

d)

55°

22.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

23.

What is a regular polygon?

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

24.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
25.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
26.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
27.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
28.

What is the measure of ONE interior angle in a regular hexagon?

a)

60°

b)

80°

c)

108°

d)

120°

29.
What is the measure of each interior angle of a regular octagon?
a)
135
b)
180
c)
145
d)
190
30.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
31.
Find the missing angle.
a)
65
b)
85
c)
75
d)
70
32.
Name the polygon.
a)
Trapezoid
b)
Pentagon
c)
Hexagon
d)
Octagon
33.
The shapes in the pictures are all--
a)
Triangles
b)
Trapezoids
c)
Parallelograms
d)
Heptagons
34.
Identify the polygon.
a)
Triangle
b)
Quadrilateral
c)
Rectangle
d)
Pentagon
35.
A nonagon has ________ sides.
a)
6
b)
7
c)
8
d)
9
36.
What is a polygon?
a)
A closed plane figure made up of line segments
b)
An open plane figure made up of line segments
c)
A closed plane figure made up of rays
d)
An open plane figure made up of rays
37.

What type of polygon is thist?

a)

concave

b)

convex

38.

What type of polygon is this?

a)

concave

b)

convex

39.

What type of polygon is this?

a)

concave

b)

convex

40.

What type of polygon is this?

a)

concave

b)

convex

41.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
42.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
43.
The figure is a parallelogram.  
Solve for x.  
a)
11
b)
10
c)
6
d)
2
44.
How long is the side CD?
a)
7
b)
3
c)
35
d)
27
45.
Find the value of f.
a)
-5
b)
15
c)
5
d)
20
46.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
47.

Opposite angles of a parallelogram are...

a)

Congruent

b)

Supplementary

c)

Right Angles

d)

Complementary

48.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
49.
In the picture, side AB must be congruent to which side?
a)
AE
b)
AD
c)
CD
d)
BC
50.
What do we know about the diagonals of ALL parallelogram?
a)
They are congruent
b)
They bisect each other
c)
They are perpendicular to each other
d)
They are parallel to each other
51.
Find the value of f.
a)
-5
b)
15
c)
5
d)
20
52.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

53.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

54.
Find m∠U.
a)
95°
b)
85°
c)
75°
d)
90°
55.

Is this a polygon?

a)

Yes

b)

No

c)

Maybe

56.

Is this a polygon?

a)

Yes

b)

No

c)

Maybe

57.

How many sides does an octagon have?

(a)  

58.

How many sides does a hexagon have?

(a)  

59.

How many sides does a quadrilateral have?

(a)  

60.

How many sides does a pentagon have?

(a)  

61.

How many sides does a heptagon have?

(a)  

62.

How many sides does a decagon have?

(a)  

63.

How many sides does a dodecagon have?

(a)  

64.

How many sides does a nonagon have?

(a)  

65.

How many triangles can you make in a pentagon?

(a)  

66.

How many triangles can you make in an Octogon?

(a)  

67.

In the figure TU = TV.

Find the length of QR

(a)  

68.

In the figure TU = TV.

Find the length of MN

(a)  

69.

In the figure TU = TV.

Find the length of LN

(a)  

70.

In the figure GH=HI=IJ

Find the length of FI

(a)  

71.

In the figure GH=HI=IJ

Find the length of DE

(a)  

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