Free Printable GEOMETRY( Parallelogram, Dilation and Polygons)

1.

solve for X

a)

19

b)

20

c)

33

d)

53

2.

Solve for X

a)

22

b)

16

c)

40

d)

35

3.

solve for X

a)

24

b)

90

c)

14

d)

100

4.

solve for Y

a)

20

b)

15

c)

60

d)

12

5.

Solve for Y

a)

25

b)

17

c)

8

d)

12

6.

If GI = 2s - 84 and GK = s-18. Find the value of S

a)

12

b)

55

c)

66

d)

60

7.

find the value of Z

a)

23

b)

5

c)

12

d)

53

8.

if FJ = a and HJ = 2a-28. find the value of a

a)

28

b)

44

c)

50

d)

17

9.

If DE = 4z and DG = 8z - 88. find the value of Z

a)

22

b)

50

c)

23

d)

18

10.

Find the value of U

a)

20

b)

33

c)

18

d)

48

11.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

12.

What is the formula for scale factor?

a)

$\frac{new}{old}$

b)

$\frac{old}{new}$

13.

What is the scale factor?

a)

1

b)

2

c)

3

d)

4

14.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

15.

Find missing side

a)

5

b)

7

c)

9

d)

11

16.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

17.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

18.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

19.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

20.

A dilation produces a congruent figure

a)

True

b)

False

21.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

22.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

23.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to (1/3x, 1/3y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

24.

ABC is dilated about P(2, -4) by a scale factor of 3.

FInd the coordinates of B'.

a)

B'(0, 6)

b)

B'(-2, 0)

c)

B'(-4, 4)

d)

B'(-4, 2)

e)

B'(-6, 4)

25.

ABC is dilated about P(3, -1) by a scale factor of 0.5.

Find the coordinates of A'.

a)

A'(-2, 5)

b)

A'(-7, 2)

c)

A'(-2, 2)

d)

A'(-3.5, -2.5)

26.

What is the center of dilation, P?

a)

P(0,0)

b)

P(0, -1)

c)

P(2, 0)

d)

P(0, 2)

e)

P(-2, 0)

27.

What is the center of dilation, P?

a)

P(0,0)

b)

P(3, -1)

c)

P(3, -2)

d)

P(2, -3)

28.

What can you say about the scale factor, k?

a)

k > 1

b)

k = 1

c)

0 < k < 1

29.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

30.

A dilation is which of the following:

a)

An enlargement

b)

A reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

31.

If a dilation has the rule
$(x,y)→(2.5x,2.5y)$ what is the scale factor?

(a)

32.

If a dilation has the rule
$(x,y)→(2.5x,2.5y)$ what type of dilation is this?

a)

enlargement

b)

reduction (shrink)

33.

Rectangle ABCD has a length of 6 and a height of 5. It is dilated by a scale factor of 3.

What is true about the perimeter of A'B'C'D', the new rectangle?

a)

The perimeter of A'B'C'D' is the same as the perimeter of ABCD

b)

The perimeter of A'B'C'D' is the 3 times larger than the perimeter of ABCD

c)

The perimeter of A'B'C'D' is the 6 times larger than the perimeter of ABCD

d)

The perimeter of A'B'C'D' is the 9 times larger than the perimeter of ABCD

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

F

b)

G

c)

H

d)

J

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

How well do you understand dilations?

a)

b)

c)

39.

A quadrilateral has 4 sides, 4 angles and 4 __________.

a)

Vertices

b)

Degrees

c)

Rays

d)

Parallels

40.

Which of the following shapes are not polygons?

a)

b)

c)

d)

41.

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

42.

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

43.

The name of this polygon is

a)

Heptagon

b)

octagon

c)

Hexagon

d)

Nonagon

44.

How many sides does a hexagon have?

a)

4

b)

5

c)

8

d)

6

45.

Find the Interior Angle Sum of a Hexagon

a)

360

b)

720

c)

1080

d)

1260

46.

Find the Interior Angle Sum of an Octagon

a)

360

b)

720

c)

1080

d)

1260

47.

Find the measure of an interior angle in a regular triangle.

a)

60

b)

120

c)

135

d)

90

48.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

49.

Find the value of X.

a)

100

b)

120

c)

125

d)

130

50.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

51.

Find angle x

a)

247^o

b)

67^o

c)

157^o

d)

203^o

52.

Find angle x

a)

247^o

b)

67^o

c)

157^o

d)

203^o

53.

Find angle x

a)

90^o

b)

45^o

c)

135^o

d)

225^o

54.

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

a)

90°

b)

108°

c)

120°

d)

180°

55.

Find the measure of angle K.

a)

9°

b)

97°

c)

48°

d)

79°

56.

If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?

a)

10

b)

3

c)

7

d)

11

57.

Solve for x

a)

94

b)

25

c)

36

d)

180

58.

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°

59.

Find the value of y.

a)

125

b)

135

c)

140

d)

110

60.

Find the value of y.

a)

125

b)

135

c)

140

d)

110

61.

Solve for x.

a)

12

b)

10

c)

25

d)

5

62.

What is the measure of EACH EXTERIOR angle of a regular 67-gon?

a)

5.4

b)

11700

c)

3.2

d)

113

63.

What is the measure of EACH EXTERIOR angle of a 20-gon?

a)

14°

b)

15°

c)

17°

d)

18°

64.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

65.

How many sides does a heptagon have?

(a)

66.

How many sides does a decagon have?

(a)

67.

How many sides does a nonagon have?

(a)

68.

Solve for x

a)

7

b)

9

c)

11

d)

10

69.

Find the exterior angle on a regular polygon with 40 sides...

a)

9^o

b)

8^o

c)

171^o

d)

172^o

70.

Find the interior angle on a regular polygon with 45 sides...

a)

9^o

b)

8^o

c)

171^o

d)

172^o

71.

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

a)

10

b)

11

c)

7

d)

5

GEOMETRY( Parallelogram, Dilation and Polygons)

Total questions: 71

Worksheet time: 36mins

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