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Angles in Polygons Quiz

Total questions: 43

Worksheet time: 39mins

Name
Class
Date
1.

What is the sum of the interior angles of a hexagon?

a)

360 degrees

b)

720 degrees

c)

630 degrees

d)

540 degrees

2.

If a polygon has 7 sides, what is the sum of its interior angles?

a)

360 degrees

b)

540 degrees

c)

720 degrees

d)

900 degrees

3.

How are the measures of an interior angle and an exterior angle related in a polygon?

a)

The sum of an interior angle and an exterior angle of a polygon is always 90 degrees.

b)

The sum of an interior angle and an exterior angle of a polygon is always 180 degrees.

c)

The measures of an interior angle and an exterior angle of a polygon are always equal.

d)

The exterior angle is always greater than the interior angle in a polygon.

4.

In a triangle, what is the sum of its interior angles?

a)

90 degrees

b)

360 degrees

c)

180 degrees

d)

270 degrees

5.

If a polygon has 12 sides, how many interior angles does it have?

a)

15

b)

10

c)

12

d)

6

6.

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

a)

90 degrees

b)

150 degrees

c)

135 degrees

d)

120 degrees

7.

What is the sum of the interior angles of a quadrilateral?

a)

180 degrees

b)

270 degrees

c)

90 degrees

d)

360 degrees

8.

If a polygon has 20 sides, what is the sum of its exterior angles?

a)

90 degrees

b)

360 degrees

c)

180 degrees

d)

270 degrees

9.

How can you find the measure of an interior angle in a regular polygon?

a)

Using the formula: (n-2) * 180 / n

b)

Measuring the angle with a protractor and dividing by the number of sides

c)

Counting the number of sides and dividing 360 by the number of sides

d)

Using the formula: (n+2) * 180 / n

10.

What is the measure of each interior angle of a regular pentagon?

a)

108 degrees

b)

120 degrees

c)

90 degrees

d)

72 degrees

11.

If a polygon has 15 sides, what is the sum of its interior angles?

a)

2340 degrees

b)

1800 degrees

c)

2160 degrees

d)

2520 degrees

12.

How can you find the measure of an exterior angle in a regular polygon?

a)

Using the formula: 360 / n

b)

Measuring the angle with a protractor and multiplying by the number of sides

c)

Counting the number of sides and dividing 180 by the number of sides

d)

Using the formula: (n+2) * 180 / n

13.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If LD is 12, then what is the value of SE?

a)

SE = 48

b)

SE = 6

c)

SE = 24

d)

SE = 12

14.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If SE = 14, then what is the value of LD?

a)

LD = 28

b)

LD = 7

c)

LD = 14

d)

LD = 21

15.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If LI = 18, what is the value of LS?

a)

LS = 27

b)

LS = 36

c)

LS = 9

d)

LS = 18

16.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If LS = 6, ID = 8, and SE = 10, find the perimeter of ∆SIE.

a)

perimeter of ∆SIE is 28 units.

b)

perimeter of ∆SIE is 38 units.

c)

perimeter of ∆SIE is 19 units.

d)

perimeter of ∆SIE is 24 units.

17.

In ∆VES, I and W are the midpoints of VE and ES respectively. If VI = 2x + 5 and IE = 3x - 1, find the value of VE.

a)

VI = 34

b)

VI = 18

c)

VI = 6

d)

VI = 17

18.

In ∆VES, I and W are the midpoints of VE and ES respectively. If IW = 3x + 7 and VS = 26, find the value of x.

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 6

19.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. If OU = x2 + 1, and BS = x2 + x + 8, find the value of OU and BS.

a)

OU = 17, BS = 34

b)

OU = 10, BS = 20

c)

OU = 15, BS = 30

d)

OU = 5, BS = 10

20.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. If NU = x2 + 4x and US = 9x - 4. Find the value of NU.

a)

NU = 5

b)

NU = 32

c)

NU = 1

d)

NU = 36

21.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. If BO = (x + 4)2 and ON = 2x2 + 5x - 2. Find the value of BN.

a)

BN = 100

b)

BN = 2

c)

BN = 4

d)

BN = 200

22.

In ∆BNS, O and U are the midpoints of BN and NS respectively. How will you compute the OU?

a)

OU=12BSOU=\frac{1}{2}BS

b)

OU=12USOU=\frac{1}{2}US

c)

OU=12BNOU=\frac{1}{2}BN

d)

OU=12ONOU=\frac{1}{2}ON

23.

Complete the segment:

The segments whose [1] ________ are the [2] ________ of a two sides of a triangle is [3] ________ to the third side and it has length equal to half the length of the third side.

a)

[1] midpoint, [2] endpoints, [3] parallel

b)

[1] endpoints, [2] midpoint, [3] congruent

c)

[1] midpoint, [2] endpoints, [3] congruent

d)

[1] endpoints, [2] midpoint, [3] parallel

24.

Two planes ____________ intersect in a line.

a)

Always

b)

Sometime( when they don't parallel)

c)

Never

25.

Any three points ____________ determine a plane.

a)

Always

b)

Sometime

c)

Never

26.

Any three points not on the same line ____________ determine a plane.

a)

Always

b)

Sometime

c)

Never

27.

four points are coplanar

a)

Always

b)

Sometime

c)

Never

28.

two lines on the same plane are parallel

a)

Always

b)

Sometime

c)

Never

29.

two planes that do not intersect are parallel

a)

Always

b)

Sometime

c)

Never

30.

two lines that lie in parallel planes are parallel

a)

Always

b)

Sometime

c)

Never

31.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
32.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
33.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
34.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
35.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
36.
Are points D and E collinear or coplanar?
a)
Collinear
b)
Coplanar
37.
Name the intersection of Plane ADE and Plane W
a)
Point E
b)
Point A
c)
Line AD
d)
Line EA
38.
Name the intersection of Line c and Plane R
a)
Point J
b)
Line HK
c)
Point K
d)
Line MN
39.
True or False: Point C lies on line AB
a)
True
b)
False
40.
Name the plane that contains A, B, and C
a)
S
b)
T
c)
A
d)
E
41.
Intersection of plane PQR and plane QRUT...
a)
Segment RQ
b)
Line RQ
c)
Segment PQ
d)
Line PQ
42.
How many planes contain point W?
a)
3
b)
2
c)
4
d)
1
43.
A plane must have at lease _____ points and they must be _____.
a)
2, collinear
b)
3, collinear
c)
3, noncollinear
d)
2, noncollinear

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