Free Printable Geometry

1.

What is the scale factor from the triangle to the left to the triangle on the right?

a)

2

b)

3/2

c)

2/3

d)

1/2

2.

All angles in similar figures are congruent.

a)

True

b)

False

3.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

4.

What is ratio of any two corresponding sides?

a)

Scale Factor

b)

Corresponding Sides

c)

Similar Figures

5.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

6.

What is corresponding congruent angles and proportional sides?

a)

Similar Figures

b)

Scale Factor

c)

Congruent Shapes

7.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

8.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

9.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

10.

E and F are points on the sides PQ and PR

respectively of a Δ PQR. If PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm, then EF || QR.

a)

True

b)

False

11.

Basic proportionality theorem is known as

a)

Pythagoras theorem

b)

Area theorem

c)

none of the above

d)

Thale's theorem

12.

If a line divides any two sides of a triangle in the same ratio then the line is ----------- to the third side

a)

parallel

b)

perpendicular

c)

co-incides

d)

none of the above

13.

in the fig, if DE ll BC then find the value of AD

a)

16

b)

8

c)

4

d)

32

14.

In the fig, DE ll BC. find the value of EC

a)

4

b)

18

c)

12

d)

16

15.

Find the value of x

a)

20

b)

4

c)

24

d)

36

16.

1. In ΔABC, D and E are points on sides AB and AC respectively such that DE|| BC and AD : DB = 3 : 1. If EA = 3.3cm, then AC=_______

a)

1.1 cm

b)

4cm

c)

4.4cm

d)

5.5cm

17.

ΔABC and ΔPQR are similar triangles such that ∠A = 32° and ∠R = 65°, then ∠B is :

a)

83°

b)

32°

c)

65°

d)

97°

18.

E and F are points on the sides PQ and PR

respectively of a Δ PQR. If PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm, then EF || QR.

a)

True

b)

False

19.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

20.

ABCD is a trapezium whose diagonals AC and BD intersect at O such that OA = (3x - 1) cm, OB = (2x + 1) cm OC = (5x - 3) cm and OD = (6x - 5) cm. Find x.

a)

2

b)

3

c)

2.5

d)

4

21.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

22.

Find the missing length indicated.

a)

16

b)

8

c)

10

d)

14

23.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

24.

Find the value of x.

a)

10

b)

35

c)

8

d)

None of these

25.

$\Delta ABC\ \sim\ \ \Delta DEF,$ AB=4 cm BC=3.5 cm CA=2.5 cm and DF=7.5 cm, then perimeter of $\Delta DEF$ is

a)

10 cm

b)

14 cm

c)

25 cm

d)

30 cm

26.

1. In ΔABC, D and E are points on sides AB and AC respectively such that DE|| BC and AD : DB = 3 : 1. If EA = 3.3cm, then AC=_______

a)

1.1 cm

b)

4cm

c)

4.4cm

d)

5.5cm

27.

ΔABC and ΔPQR are similar triangles such that ∠A = 32° and ∠R = 65°, then ∠B is :

a)

83°

b)

32°

c)

65°

d)

97°

28.

E and F are points on the sides PQ and PR

respectively of a Δ PQR. If PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm, then EF || QR.

a)

True

b)

False

29.

Find the value of x.

a)

5

b)

8

c)

3

d)

None of these

30.

Find the missing length.

a)

4

b)

10

c)

8

d)

12

31.

Find the value of x.

a)

10

b)

35

c)

8

d)

None of these

32.

Find the value of x.

a)

4

b)

12

c)

8

d)

16

33.

Find the value of x.

a)

6

b)

12

c)

8

d)

None of these

34.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

35.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

36.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

37.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

38.

UV is a midsegment of triangle FGH. What is the length of segment UV?

a)

12

b)

10

c)

5

d)

-12

39.

Find length of segment AB.

a)

x = 810

b)

x = 21.6

c)

x = 33.75

d)

x = 67.5

40.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

41.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

42.

Solve for DC

a)

1.5

b)

17.1

c)

8.4

d)

3.5

43.

Solve for x.

a)

x = 2

b)

x = -1

c)

x = 1

d)

x = 5

44.

Solve for x.

a)

3

b)

6

c)

8

d)

9

45.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

46.

Find the value of x.

a)

6.92

b)

18.67

c)

2.625

d)

13.71

47.

Find the length of the missing side.

a)

4

b)

6

c)

5

d)

7

48.

Find the length of the unknown segment.

a)

6

b)

3

c)

7

d)

1

49.

Find the missing length.

a)

5

b)

9

c)

7

d)

8

50.

Find the missing length.

a)

14

b)

20

c)

16

d)

10

51.

Find the missing length.

a)

8

b)

23

c)

11

d)

16

52.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

53.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

54.

Why are the triangles similar?

a)

AA~

b)

SAS~

c)

SSS~

d)

AAS~

55.

Solve for x.

a)

x = 5

b)

x = 3

c)

x = 14

d)

x = 1

56.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

57.

A gymnasium is 96 feet long and 75 feet wide. On a blueprint, the gymnasium is 5.5 inches long. To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?

a)

4.3

b)

8.6

c)

6.4

58.

If the triangles are similar, find x

a)

90

b)

60

c)

30

d)

15

59.

Find the scale factor from the smaller triangle to the bigger.

a)

2/3

b)

1/2

c)

1.5

d)

3

60.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

61.

Solve for x

a)

23.1

b)

47.1

c)

8.5

d)

25

62.

Solve for x.

a)

18

b)

12

c)

6.75

d)

85.3

63.

Find the missing length indicated.

a)

6

b)

10

c)

5

d)

12

64.

Solve for x

a)

20.8

b)

63.7

c)

27.3

d)

21.4

65.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

66.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

67.

Find length of segment AB.

a)

x = 810

b)

x = 21.6

c)

x = 33.75

d)

x = 67.5

68.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

69.

In the fig, DE ll BC. find the value of EC

a)

4

b)

18

c)

12

d)

16

70.

Calculate the length of AE.

a)

AE = 16 ft

b)

AE = 24 ft

c)

AE = 28 ft

d)

AE = 36 ft

71.

Calculate the value of x.

a)

x = 32 m

b)

x = 35 m

c)

x = 40 m

d)

x = 42 m

72.

Is JL is parallel to MN?

a)

YES. Because MN split sides JK and LK proportionally.

b)

YES. Because MN is the midsegment of triangle JKL.

c)

NO. Because MN did not split sides JK and LK proportionally.

d)

NO. Because MN is not the midsegment of triangle JKL.

73.

Are lines a, b, and c parallel?

a)

Yes, because lines d and e cut lines a, b, and c proportionally.

b)

Yes, because they look parallel.

c)

No, because lines d and e did not cut lines a, b, and c proportionally.

d)

No, they don't look like they are parallel.

74.

Calculate the length of PR.

a)

PR = 24 ft

b)

PR = 28 ft

c)

PR = 32 ft

d)

PR = 42 ft

75.

Complete each proportion. $\frac{AM}{BM}=\frac{?}{CD}$

a)

BC

b)

AC

c)

MD

d)

MC

76.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

77.

Solve for DC

a)

1.5

b)

17.1

c)

8.4

d)

3.5

78.

Solve for x.

a)

x = 2

b)

x = -1

c)

x = 1

d)

x = 5

79.

Solve for x.

a)

3

b)

6

c)

8

d)

9

80.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

81.

Find the length of the unknown segment.

a)

6

b)

3

c)

7

d)

1

82.

Find the missing length.

a)

5

b)

9

c)

7

d)

8

83.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

Geometry

Total questions: 83

Worksheet time: 7hrs 33mins

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