Free Printable Spring Semester Review 2021

1.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

2.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

3.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

4.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

5.

Point (7,2) is translated vertically 2 units and horizontally -5 units. Where is the new point located?

a)

(9,-3)

b)

(2,4)

c)

(2,0)

d)

12,4)

6.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

7.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

8.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

9.

What is ratio of any two corresponding sides?

a)

Scale Factor

b)

Corresponding Sides

c)

Similar Figures

10.

All angles in similar figures are congruent.

a)

True

b)

False

11.

What does congruent mean?

a)

Same shape, different size

b)

Not same shape, or size

c)

Same size, same shape

12.

What are matching sides of similar figures?

a)

Corresponding Sides

b)

Corresponding Angles

c)

Scale Factor

13.

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

a)

an enlargement

b)

a reduction

c)

a scale factor

14.

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

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

15.

What is corresponding congruent angles and proportional sides?

a)

Similar Figures

b)

Scale Factor

c)

Congruent Shapes

16.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

17.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

24 feet

b)

21 feet

c)

27 feet

d)

32 feet

18.

Find missing side.

a)

1/5

b)

5

c)

7

d)

1/7

19.

Find x

a)

21

b)

27/7

c)

13

d)

18

20.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

21.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

22.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

23.

Solve the proportion.

a)

20

b)

7

c)

22

d)

11

24.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

25.

solve for c

a)

7

b)

9

c)

4

d)

13

26.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

27.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

28.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

29.

What is the hypotenuse of the diagram?

a)

11 blocks

b)

9 blocks

c)

5 blocks

d)

10 blocks

30.

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

a)

7

b)

5

c)

11

d)

25

31.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

32.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

33.

If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

a)

7√2

b)

49√2

c)

7

d)

7√7

34.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

35.

Find a - the length of a leg of the triangle.

a)

4

b)

2

c)

4√2

d)

2√4

36.

Find x.

a)

10

b)

$10\sqrt{3}$

c)

$10\sqrt{2}$

d)

20

37.

Find x.

a)

22

b)

$11\sqrt{3}$

c)

$11\sqrt{2}$

d)

11

38.

Find a.

a)

12

b)

24

c)

$24\sqrt{3}$

d)

16

39.

Find a.

a)

9

b)

$9\sqrt{3}$

c)

$\frac{9}{2}$

d)

$6\sqrt{3}$

40.

Find x.

a)

10

b)

$10\sqrt{2}$

c)

$5\sqrt{3}$

d)

$\frac{5}{2}$

41.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

42.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

43.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

73.5

d)

68.6

44.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

45.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

46.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

47.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

48.

Find the AREA of this figure.

a)

160 square feet

b)

161 feet

c)

106

d)

1600 feet

49.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

50.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

51.

Find the area:

a)

13 in²

b)

20 in²

c)

26 in²

d)

40 in²

52.

Find the area of the figure

a)

26 ft²

b)

20 ft²

c)

52 ft²

d)

40 ft²

53.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

54.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

1500 cm ²

55.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in²

b)

56.5 in²

c)

188.5 in²

d)

245.0 in²

56.

Calculate the surface area.

a)

54 m²

b)

96 m²

c)

99 m²

d)

61 m²

57.

Calculate the surface area of the pyramid.

a)

228 m²

b)

144 m²

c)

300 m²

d)

156 m²

58.

Calculate the surface area.

a)

904.78 mm²

b)

452.39 mm²

c)

3,216.99 mm²

d)

3,392.92 mm²

59.

Calculate the surface area.

a)

56.5 in²

b)

91.5 in²

c)

169.56 in²

d)

28.3 in²

60.

Exact volume =

a)

9π in³

b)

90π in³

c)

282.743π in³

d)

30π in³

61.

What is the volume of this triangular prism?

a)

576 cm³

b)

288 cm³

c)

333 cm³

d)

28 cm³

62.

What is the volume of the following rectangular pyramid?

a)

8085 cubic meters

b)

5390 cubic meters

c)

16170 cubic meters

d)

10780 cubic meters

63.

r=3
h=10

a)

V=30∏

b)

V=90∏

c)

V=19∏

d)

V=10∏

64.

Find the volume of the solid shown in the figure?

a)

72

b)

66

c)

1130.4

d)

90

65.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

66.

V = ?

a)

1,077.02 yd³

b)

269.255 yd³

c)

153.86 yd³

67.

ice cream is served on a cone the hieght is 7 and the diameter is 6 . what is the radius?

a)

333

b)

3

c)

323

d)

423

68.

A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.

a)

5221.5

b)

1255.5

c)

2229.5

d)

2119.5 cm

69.

Find the composite area.

a)

6.28

b)

24

c)

40

d)

38.28

70.

Find the composite area.

a)

72.12

b)

146.24

c)

96

d)

121.12

71.

The Cruz family is buying a custom-made cover for their swimming pool, shown above. The cover costs $2.95 per square foot. How much will the cover cost? Round to the nearest cent.

a)

$422.10

b)

$551.63

c)

$1,627.29

d)

$1,106.25

Spring Semester Review 2021

Total questions: 71

Worksheet time: 8hrs 39mins

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