Free Printable Optional Practice - Unit 6 Study Guide Part B

1.

What is the formula for finding the sum of the interior angles of a polygon?

a)

S= (n-2)180

b)

S= (n-180)2

c)

S= (n-2)180/n

d)

S= (n - 180)2/n

2.

What is the sum of the exterior angles of a polygon?

a)

180(n-2)

b)

180

c)

(180(n-2))/n

d)

360

3.

What is the SUM of the angle measures in a triangle?

a)

60°

b)

90°

c)

120°

d)

180°

4.

What is the sum of the interior angles for a 24-gon?

a)

3960

b)

360

c)

15

d)

4280

5.

Find the measure of angle E.

a)

9

b)

97°

c)

48°

d)

79°

6.

Solve for x.

a)

100

b)

120

c)

125

d)

130

7.

Solve for x

a)

45

b)

12

c)

90

d)

2

8.

Find the angle sum of the interior angles of the polygon.

a)

180°

b)

540°

c)

720°

d)

1080°

9.

Find the measure of the angle x.

a)

105

b)

115

c)

65

d)

75

10.

Solve for the missing variable.

a)

255°

b)

90°

c)

60°

d)

105°

11.

Determine the measure of one exterior angle in regular hexagon.

a)

135°

b)

$60\degree$

c)

360°

d)

1080°

12.

Solve for x.

a)

220

b)

110

c)

250

d)

125

13.

Find the measure of angle y.

a)

y=65°

b)

y=70°

c)

y=60°

d)

y=80°

14.

Opposite sides of parallelograms are _______ and _______.

a)

parallel

congruent

b)

congruent

consecutive

c)

parallel

perpendicular

d)

parallel

supplementary

15.

______ angles of parallelograms are congruent.

a)

Consecutive

b)

Opposite

c)

parallel

d)

diagonal

16.

Solve for x. Each figure is a parallelogram.

a)

0

b)

8

c)

2

d)

1

17.

Consecutive angles of parallelograms are ______.

a)

bisected

b)

congruent

c)

supplementary

d)

complementary

18.

The diagonals of a parallelogram _______ each other.

a)

bisect

b)

equal

c)

are perpendicular to

d)

complement

19.

In parallelogram ABCD, $\angle A\ \cong\ ?$

a)

$\angle B$

b)

$\angle C$

c)

$\angle D$

20.

In parallelogram ABCD, $AB\cong?$

a)

BC

b)

CD

c)

DA

21.

What is the value of x?

a)

132

b)

66

c)

114

d)

48

22.

Find the measurement indicated in each parallelogram.

a)

$130\degree$

b)

$74\degree$

c)

$140\degree$

d)

$40\degree$

23.

Solve for X

a)

22

b)

16

c)

40

d)

35

24.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

7

d)

5

25.

WXYZ is a parallelogram. Find XW

a)

cannot be determined

b)

3

c)

11

d)

24

26.

Parallelograms are

a)

Triangles

b)

Trapezoids

c)

Quadrilaterals

d)

Hexagons

27.

Which one is NOT a property or characteristic of a parallelogram

a)

Contains 3 or more sides

b)

Opposite sides are parallel

c)

Opposite sides are equal or congruent

d)

All angles add up to 180 degrees

28.

The opposite sides of a parallelogram are...

a)

perpendicular

b)

unequal

c)

parallel

29.

______ parallelograms are quadrilaterals.

a)

Some

b)

All

c)

No

d)

Most

30.

______ angles of parallelograms are congruent.

a)

Consecutive

b)

Opposite

c)

Parallel

d)

Diagonal

31.

In parallelogram ABCD, $\angle DAB\ \cong\ ?$

a)

$\angle DAC$

b)

$\angle DCB$

c)

$\angle ABC$

d)

$\angle ADC$

32.

In parallelogram ABCD, $AB\cong?$

a)

BC

b)

CD

c)

DA

d)

BE

33.

Find the measure ot angle $\angle WZY$ .

a)

75

b)

105

c)

24

d)

28

34.

Find the measurement of $\angle XYZ$ .

a)

75

b)

105

c)

28

d)

24

35.

Find the measurement of side WZ.

a)

24

b)

105

c)

75

d)

28

36.

Find x.

a)

85

b)

105

c)

95

d)

75

37.

Find x.

a)

82

b)

92

c)

98

d)

102

38.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

39.

Find the measure of the angle indicated in the following parallelogram.

a)

105

b)

36

c)

45

d)

135

40.

What is the SUM of the angle measures in a hexagon (6 sides)?

a)

720°

b)

1080°

c)

600°

d)

540°

41.

What is the SUM of the angle measures in a triangle (3 sides)?

a)

60°

b)

90°

c)

120°

d)

180°

42.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

43.

How many sides does a Quadrilateral have?

a)

4

b)

3

c)

6

d)

9

44.

What is the name of a 7 sided polygon?

a)

hexagon

b)

heptagon

c)

octagon

d)

nonagon

45.

Find the measure of angle b

a)

75 degrees

b)

20 degrees

c)

30 degrees

d)

55 degrees

46.

A polygon is a closed plane shape with 3 or more line segments (sides) that meet at the endpoints. What shape is a polygon?

a)

b)

c)

d)

47.

Is this shape a polygon?

a)

Yes

b)

No

48.

Is this shape a polygon?

a)

Yes

b)

No

49.

Is this shape a polygon?

a)

Yes

b)

No

50.

Is this shape a polygon?

a)

Yes

b)

No

51.

Is this shape a polygon?

a)

Yes

b)

No

52.

How would you name this polygon?

a)

Pentagon

b)

Quadrilateral

c)

Triangle

d)

Octagon

53.

How would you name this polygon?

a)

Hexagon

b)

Pentagon

c)

Octagon

d)

Triangle

54.

What is the name of a polygon with 10 vertices?

a)

nonagon

b)

quadrilateral

c)

decagon

d)

heptagon

55.

What is the name of a polygon with 7 sides, angles and vertices?

a)

hexagon

b)

octagon

c)

septagon

d)

heptagon

56.

What is the name of a polygon with 5 vertices?

a)

pentagon

b)

heptagon

c)

quadrilateral

d)

hexagon

57.

Which of these figures are considered polygons?

a)

a, b, c, d

b)

b, d, e, f

c)

a, b, c

d)

a, e, f

58.

In a parallelogram, diagonals are __________.

a)

perpendicular

b)

bisected

c)

congruent

d)

parallel

59.

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

60.

Solve for a and b.

a)

a=7, b=4

b)

a=14, b=4

c)

a=7, b=8

d)

a=7, b=5

61.

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

62.

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

63.

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

64.

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

65.

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

66.

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

67.

How long is the side CD?

a)

7

b)

3

c)

35

d)

27

68.

Find the value of f.

a)

-5

b)

15

c)

5

d)

20

69.

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

70.

The opposite sides of a parallelogram are congruent.

a)

true

b)

false

c)

maybe

d)

sometimes

71.

Find m∠U in the parallelogram.

a)

95°

b)

85°

c)

75°

d)

90°

72.

Which reason shows that the quadrilateral is a parallelogram?

a)

Diagonals bisect each other

b)

Both pairs of opposite sides are congruent

c)

Both pairs of opposite angles are congruent

d)

One pair of opposite sides are both congruent and parallel

73.

Which reason shows that the quadrilateral is a parallelogram?

a)

Diagonals bisect each other

b)

Both pairs of opposite sides are congruent

c)

Both pairs of opposite angles are congruent

d)

One pair of opposite sides are both congruent and parallel

74.

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.

75.

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

76.

The opposite sides and opposite angles of a parallelogram are...

a)

congruent

b)

supplementary

c)

perpendicular

d)

not congruent

77.

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

78.

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.

79.

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

80.

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

81.

How do you find the length of the side of a parallelogram?

a)

Use the distance formula

b)

Use the slope formula

c)

Use the midpoint formula

82.

How do you prove two lines are parallel?

a)

Use the distance formula

b)

Use the midpoint formula

c)

Use the slope formula and show the slopes are the same

d)

Use the slope formula and show the slopes are opposite reciprocals

83.

How can you prove two diagonals bisect each other?

a)

Use distance formula and prove they have the same length

b)

Use midpoint formula and prove they have the same midpoint

c)

Use the slope formula and prove they have the same slope

d)

Use the slope formula and prove the slopes are perpendicular

84.

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

a)

Always

b)

Sometimes

c)

Never

Optional Practice - Unit 6 Study Guide Part B

Total questions: 84

Worksheet time: 2hrs 37mins

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