Free Printable 7th Grade Geometry

1.

If a shape is a square, then it is also a rectangle and a rhombus.

a)

TRUE

b)

FALSE

2.

A _______________ is a quadrilateral with two sets of parallel sides.

a)

trapezoid

b)

parallelogram

c)

triangle

3.

What do a rhombus and a rectangle have in common?

a)

they are both parallelograms

b)

they always have four right angles

c)

they are not polygons

d)

they have five sides

4.

Which quadrilateral has all right angles and all sides the same length?

a)

Rhombus

b)

Parallelogram

c)

Square

d)

Trapezoid

5.

Which quadrilateral cannot be called a parallelogram?

a)

Square

b)

Trapezoid

c)

Rectangle

d)

Rhombus

6.

I am searching for a shape that has 4 sides. It has 4 right angles and is a parallelogram. Which shapes could work? Select all that apply.

a)

square

b)

rhombus

c)

rectangle

d)

trapezoid

e)

octagon

7.

Which quadrilateral is NOT a parallelogram?

a)

rectangle

b)

square

c)

trapezoid

d)

rhombus

8.

All squares are rectangles.

a)

True

b)

False

9.

A rhombus is always a square.

a)

True

b)

False

10.

What is this shape?

a)

Square

b)

Trapezoid

c)

Rhombus

d)

Parallelogram

11.

What is this shape? (Same colors means congruent measures)

a)

Rectangle

b)

Trapezoid

c)

Rhombus

d)

Isosceles Trapezoid

12.

What is this shape? (Same color means congruent measures)

a)

Trapezoid

b)

Isosceles Trapezoid

c)

Parallelogram

d)

Rhombus

13.

What proves that this shape is not a rhombus?

a)

Opposite sides are not congruent

b)

All angles are 90 degrees

c)

All sides are not congruent

d)

It doesn't look like a diamond

14.

A __________________ is always a rhombus, but a rhombus is not always a _______________.

a)

rhombus

b)

parallelogram

c)

square

d)

rectangle

15.

A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles

a)

trapezoid

b)

parallelogram

c)

rectangle

d)

square

16.

What shape is this?

a)

Quadrilateral

b)

Rectangle

c)

Square

d)

Rhombus

17.

Name that shape.

a)

quadrilateral, parallelogram, rectangle, rhombus, square

b)

square

c)

quadrilateral, parallelogram, square

d)

quadrilateral, parallelogram, rhombus, square

18.

Classify this shape. Select ALL names that apply.

a)

quadrilateral

b)

square

c)

parallelogram

d)

rhombus

e)

rectangle

19.

The distance across a circle through its center is called the _____.

a)

diameter

b)

radius

c)

π

d)

center

20.

The radius is 8 inches. What is the circumference?

a)

50.24 inches

b)

25.12 inches

c)

12.56 inches

d)

200.96 inches

21.

The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?

a)

56.25 ft

b)

246 ft

c)

365 ft

d)

393 ft

22.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's approximate circumference?

a)

14.13 ft

b)

20.68 ft

c)

26.28 ft

d)

28.26 ft

23.

The area of a circular swimming pool is 254.34 ft ² What us the diameter?

a)

36 ft

b)

4.5 ft

c)

9ft

d)

18 ft

24.

The area of a circle is 113.04 in² what is the circumference?

a)

56.52 in

b)

37.68 in

c)

18.84 in

d)

46.72 in

25.

A painter finished painting the area of the center circle on a basketball court which has an area of 615.44 feet. Now he needs to paint the ring around the circle. What is the circumference of the center circle?

a)

21.98

b)

43.96

c)

87.92

d)

175.84

26.

Find the area of a trapezoid with bases of 3 in and 7 in, with a height of 6 in?

a)

60

b)

32

c)

30

d)

36

27.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

28.

Find the Area:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

29.

Find the Volume: r=2 and h=10

(a)

30.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

31.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

16.4 cm³

b)

31.7 cm³

c)

31.4 cm³

d)

22.0 cm³

32.

Find the volume of the right cylinder?

a)

6516 units³

b)

2276 units³

c)

1693 units³

d)

9923 units³

33.

What is the volume of this prism?

a)

24 cubic cm

b)

240 cubic cm

c)

60 cubic cm

34.

What is the Volume?

a)

14 cm

b)

18 cm ³

c)

90 cm ³

d)

90 cm

35.

What is the volume of the cereal box?

a)

23 in³

b)

97 in³

c)

132 in³

d)

288 in³

36.

What unit should be placed on a volume answer?

a)

cubed

b)

squared

c)

none

37.

Find the height of the rectangular prism.

a)

9 m

b)

11 m

c)

15.75 m

d)

22.91 m

38.

Find the surface area of the sphere.

a)

48π mm²

b)

144π mm²

c)

72π mm²

d)

134π mm²

39.

Find the surface area when r=25cm.

remember to look at the units!!!!

a)

2500 cm²

b)

2505.7 cm³

c)

7853.98 cm²

d)

7850.52 cm³

40.

Find the surface area of the sphere

a)

11494.04cm²

b)

2463.01cm²

c)

1436.76cm²

d)

615.75cm²

41.

Find the surface area of the sphere

a)

113.1cm²

b)

452.39cm²

c)

904.78cm²

d)

268.08cm²

42.

Find the Area.

a)

91 ft²

b)

77 ft²

c)

78 ft²

d)

105 ft²

43.

What is the area of the trapezoid?

a)

40

b)

22.5 m²

c)

26 m²

d)

36 m²

44.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

45.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

46.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

47.

Two angles added together to equal 90 degrees is:

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

48.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

49.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

50.

Supplementary Angles measure _____ degrees.

a)

180

b)

55

c)

100

d)

90

51.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

52.

What is the measure of the missing angle?

a)

92

b)

102

c)

82

d)

72

53.

If the measure of ∠2 is 83°, what is the measure of ∠3?

a)

7°

b)

17°

c)

83°

d)

97°

54.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

55.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

56.

What is the complement angle to 30°?

a)

60°

b)

30°

c)

150°

d)

230˚

57.

What is the supplement angle to 42°?

a)

48°

b)

138°

c)

100°

d)

Not possible

58.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

59.

Solve for the angle labeled x^o

a)

43^o

b)

57^o

c)

133^o

d)

47^o

60.

Using what you know about vertical angles, Find the measure of angle a.

a)

$34\degree$

b)

$143\degree$

c)

$37\degree$

d)

$72\degree$

61.

Find the vertical angles in the diagram, then use that information to solve for x.

a)

42^o

b)

34^o

c)

19^o

d)

54^o

62.

Using what you know about supplementary angles and vertical angles, Find the measure of x

a)

35^o

b)

60^o

c)

85^o

d)

95^o

63.

Using what you know about vertical angles and the triangle sum theorem, Find the measure of angle b.

a)

$34\degree$

b)

$143\degree$

c)

$37\degree$

d)

$72\degree$

64.

Using what you know about supplementary angles, find the measurement of angle 2.

a)

70^o

b)

65^o

c)

80^o

d)

75^o

65.

Using what you know about triangles and transversals.....What are the correct angle measures for a, b, and c?

a)

a = 118^o

b = 30^o

c = 32^o

b)

a = 118^o

b = 32^o

c = 30^o

c)

a = 148^o

b = 16^o

c = 16^o

d)

a = 62^o

b = 58^o

c = 60^o

66.

Use your knowledge about the triangle sum theorem or the exterior angle theorem to figure out the measure of the question mark.

a)

120^o

b)

115^o

c)

95^o

d)

85^o

67.

Using your knowledge of the triangle sum theorem and the definition of supplementary angles.... determine the angle measures for a, b, c, and d.

a)

a = 58^o

b = 48^o

c = 74^o

d = 122^o

b)

a = 48^o

b = 74^o

c = 58^o

d = 58^o

c)

a = 48^o

b = 58^o

c = 74^o

d = 122^o

d)

a = 68^o

b = 38^o

c = 64^o

d = 112^o

68.

Using what you know about vertical angles, supplementary angles, and the triangle sum theorem, determine the measure of angle c.

a)

65^o

b)

70^o

c)

45^o

d)

50^o

69.

Similar figures have side lengths that are proportional.

a)

True

b)

False

70.

Similar figures have angles that are congruent.

a)

True

b)

False

71.

The two shapes are similar. Which statement correctly states the similarity?

a)

$ABDC\ \sim\ OLMN$

b)

$ABDC\ \sim LNMO$

c)

$ABDC\ \sim LMPO$

d)

$ABCD\ \sim LMOP$

72.

The two shapes are similar. Which side length corresponds to $\overline{CD}$ ?

a)

$\overline{AB}$

b)

$\overline{OP}$

c)

$\overline{LM}$

d)

$\overline{CD}$

73.

The two figures are similar. Which angle corresponds to $\angle Q$ ?

a)

$\angle L$

b)

$\angle S$

c)

$\angle Q$

d)

$\angle K$

74.

The two figures are similar. Finish the similarity statement $EDCBA\ \sim$ ________?

a)

$ZVWXY$

b)

$VWXYZ$

c)

$WXYZV$

d)

$ZYXWV$

75.

The two shapes are similar. Which angle measure is congruent to $\angle D$ ?

a)

$\angle P$

b)

$\angle O$

c)

$\angle C$

d)

none

76.

The two figures are similar. Which side length corresponds to $\overline{PS}$ ?

a)

$\overline{KN}$

b)

$\overline{LM}$

c)

$\overline{QR}$

d)

$\overline{SR}$

77.

Solve the proportion:

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

78.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

79.

What is true about the sides of similar figures?

a)

Corresponding sides are proportional.

b)

Corresponding sides are congruent.

c)

Opposite sides are proportional.

d)

Opposite sides are congruent.

80.

The term "corresponding" means ...

a)

congruent

b)

similar

c)

matching

d)

multiply

81.

Which proportion would allow you to solve for the missing side, x?

a)

A

b)

B

c)

C

d)

D

82.

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

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

83.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

84.

For the pair of similar figures, find the length of each side marked with a variable.

a)

1.8 in

b)

2.1 in

c)

9.8 in

d)

9.3 in

85.

CHALLENGE! Solve for x. (You will need to set up the proportion, and solve using the distributive property).

a)

x = 4

b)

x = 135

c)

x = 1/4

d)

x = 2

86.

What angle corresponds with A?

a)

D

b)

F

c)

C

d)

E

87.

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

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

88.

The polygons are similar.
Find x.

a)

x = 2

b)

x = 6

c)

x = 4

d)

x = 8

89.

What side corresponds with AB?

a)

BC

b)

FE

c)

DE

d)

FD

90.

Are the following similar?
Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, corresponding sides are NOT in proportion.

d)

i dont know

91.

REVIEW
solve
3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

92.

REVIEW
solve
-3 = 4y - 11

a)

y = 12

b)

y = 15

c)

y = 2

d)

y = 3.5

93.

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

a)

1/3

b)

48

c)

4

d)

3

94.

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

95.

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

96.

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

a)

87 km

b)

216 km

c)

33 km

d)

192 km

97.

Fairview and Rockville are 104 miles from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 miles?

Solve the proportion.

a)

7 cm

b)

1352 cm

c)

8 cm

d)

4 cm

98.

The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.

a)

165 miles

b)

50 miles

c)

82.5 miles

d)

41.25 miles

99.

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

a)

12 feet

b)

16 feet

c)

10 feet

d)

4 feet

100.

The scale of a room in a blueprint in 2 inches : 5 feet. The measurement of a wall on the blueprint is inches. Complete the table to help you answer this question.

A wall on the blueprint measures 12 inches. How long is the actual wall?

a)

30 ft

b)

25 ft

c)

20 ft

d)

10 ft

7th Grade Geometry

Total questions: 100

Worksheet time: 25hrs 0mins

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