Free Printable Geometry Review

1.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

2.

Can the following side measures form a triangle?
3, 5, 8

a)

Yes

b)

No

3.

What is the range of possible third side measures using 10 and 15?

a)

9 < x < 16

b)

10 < x < 15

c)

1 < x < 5

d)

5 < x < 25

4.

Measurements of 4 cm, 7 cm, and (a) form a triangle

Choose from the below words

6 cm

11 cm

3 cm

2 cm

12 cm

5.

Measurements of 10 in, 18 in, and (a) form a triangle.

Choose from the below words

9 in

7 in

28 in

30 in

5 in

6.

Which of the following measures DO NOT make a triangle?

a)

4, 5, 6

b)

5, 5, 11

c)

10, 10, 1

d)

42, 21, 22

7.

1) If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

8.

The sum of the lengths of any two sides of a triangle is _____ than the third side

a)

less

b)

greater

c)

equal

9.

a triangle with two congruent sides

a)

isosceles triangle

b)

scalene triangle

c)

equilateral triangle

d)

acute triangle

10.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

11.

Which set of side lengths could NOT be used to form a triangle?

a)

2 cm, 6 cm, 7 cm

b)

7 cm, 15 cm, 8 cm

c)

5 cm, 5 cm, 5 cm

d)

8 cm, 9 cm, 6 cm

12.

What is the missing angle measure in the triangle?

a)

24°

b)

34°

c)

44°

d)

46°

13.

Which shows the side lengths of the triangle in order from greatest length to least length?

a)

AB, BC, AC

b)

AC, BC, AB

c)

BC, AC, AB

d)

AC, AB, BC

14.

Which of the following shows the relationship among the side lengths of the triangle?

a)

p < l < c

b)

l < c < p

c)

c < p < l

d)

p < c < l

15.

Two sides of a triangle have measures of 6 inches and 12 inches. Which measure could be the length of the third side?

a)

5 in

b)

6 in

c)

10 in

d)

18 in

16.

Which set of side lengths could be used to form a triangle?

a)

4 ft, 5 ft, 9 ft

b)

8 ft, 6 ft, 15 ft

c)

12 ft, 2 ft, 10 ft

d)

5 ft, 8 ft, 12 ft

17.

Which of the following shows the relationship among the angle measures of the triangle?

a)

m∠X < m∠O < m∠V

b)

m∠O < m∠X < m∠V

c)

m∠O < m∠V < m∠X

d)

m∠V < m∠X < m∠O

18.

Mario is designing a logo for the drama club. The logo is a triangle with a 100° angle and a 40° angle. What is the measure of the third angle of the logo?

a)

60°

b)

50°

c)

40°

d)

30°

19.

Brooke drew a triangle. One side of the triangle is 6 centimeters long. Another side of the triangle is 11 centimeters long. Which could be the length of the third side of the triangle?

a)

3 centimeters

b)

5 centimeters

c)

12 centimeters

d)

17 centimeters

20.

Elm Street, Third Street, and Maple Avenue intersect to form a triangle. What is the measure of the angle formed by Third Street and Maple Avenue?

a)

30°

b)

40°

c)

45°

d)

75°

21.

Two angles of a triangle are 25° and 50°. The side lengths are 5 centimeters, 9 centimeters, and 11 centimeters. Which statement is true?

a)

The 9 cm side is opposite the 25° angle.

b)

The 5 cm side is opposite the 25° angle.

c)

The 11 cm side is opposite the 50° angle.

d)

The 5 cm side is opposite the 50° angle.

22.

The traffic sign is an example of an equilateral triangle. An equilateral triangle has 3 equal angles. What is the measure of each angle?

a)

30°

b)

45°

c)

50°

d)

60°

23.

Which set of side lengths could be used to form a triangle?

a)

4 in, 5 in, 6 in

b)

8 in, 12 in, 4 in

c)

11 in, 10 in, 21 in

d)

5 in, 7 in, 12 in

24.

Keith drew a triangle. One angle measures 78°. Another angle measures 27°. What is the measure of the third angle of the triangle?

a)

75°

b)

63°

c)

51°

d)

12°

25.

An isosceles right triangle has a 90° angle and two equal acute angles. What is the measure of each of the acute angles?

a)

35°

b)

40°

c)

45°

d)

50°

26.

Two side lengths of a triangle are 14 meters and 9 meters. The length of the third side is also a whole number. What is the smallest possible length, in meters, of the third side?

(a)

27.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

28.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

29.

Angles $\angle1\ and\ \angle8$ are...

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Consecutive (Same-side Interior)

30.

Angles $\angle1\ and\ \angle5$ are....

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Consecutive (Same-side Interior)

31.

Angles $\angle3\ and\ \angle5$ are....

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Consecutive (Same-side Interior)

32.

Angles $\angle2\ and\ \angle7$ are....

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Consecutive (Same-side Interior)

33.

Angles $\angle3\ and\ \angle6$ are....

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Consecutive (Same-side Interior)

34.

Angles $\angle4\ and\ \angle6$ are....

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Consecutive (Same-side Interior)

35.

Angles $\angle6\ and\ \angle7$ are....

a)

Alternate Interior Angles

b)

Linear Pair (Supplementary & Adjacent)

c)

Corresponding Angles

d)

Vertical Angles

36.

Angles $\angle5\ and\ \angle7$ are....

a)

Alternate Interior Angles

b)

Linear Pair (Supplementary & Adjacent)

c)

Corresponding Angles

d)

Vertical Angles

37.

Angles $\angle6\ and\ \angle3$ are....

a)

Alternate Interior Angles

b)

Linear Pair (Supplementary & Adjacent)

c)

Corresponding Angles

d)

Vertical Angles

38.

Angles $\angle6\ and\ \angle5$ are....

a)

Alternate Interior Angles

b)

Linear Pair (Supplementary & Adjacent)

c)

Corresponding Angles

d)

Vertical Angles

39.

Angles $\angle5\ and\ \angle8$ are....

a)

Alternate Interior Angles

b)

Linear Pair (Supplementary & Adjacent)

c)

Corresponding Angles

d)

Vertical Angles

40.

Which of these is NOT a Linear Pair?

a)

Angles 1 & 3

b)

Angles 6 & 7

c)

Angles 7 & 8

d)

Angles 2 & 4

41.

Which of these angle pairs are Same-side Interior (Consectutive)?

a)

Angles 1 & 3

b)

Angles 6 & 7

c)

Angles 7 & 8

d)

Angles 3 & 5

42.

Which pair of angles are an Alternate Exterior pair? Choose 2!

a)

Angles 3 & 6

b)

Angles 1 & 8

c)

Angles 2 & 7

d)

Angles 1 & 7

43.

Which of these angle pairs are Alternate Interior? Choose 2.

a)

Angles 3 & 6

b)

Angles 1 & 4

c)

Angles 2 & 7

d)

Angles 4 & 5

44.

Which one of these is NOT a Vertical Angle Pair?

a)

Angles 1 & 5

b)

Angles 2 & 3

c)

Angles 5 & 8

d)

Angles 6 & 7

45.

Which pair of angles are Corresponding? Choose 3!

a)

Angles 1 & 5

b)

Angles 4 & 8

c)

Angles 3 & 7

d)

Angles 2 & 4

46.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Consecutive or Same Side Interior

d)

Corresponding angles

47.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Consecutive or Same Side Interior

d)

Corresponding angles

48.

Angle 3 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Consecutive or Same Side Interior

d)

Corresponding angles

49.

Angle 1 and Angle 8 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Consecutive or Same Side Interior

d)

Corresponding angles

50.

Angle 3 and Angle 4 are examples of which type of angle pair?

a)

Consecutive or Same Side Interior

b)

Corresponding angles

c)

Vertical Angles

d)

Linear Pair

51.

Angle 2 and Angle 3 are examples of which type of angle pair?

a)

Consecutive or Same Side Interior

b)

Corresponding angles

c)

Vertical Angles

d)

Linear Pair

52.

Which condition will prove that line l is parallel to line m?

a)

∠1 ≅ ∠3

b)

∠3 ≅ ∠5

c)

∠1 ≅ ∠6

d)

∠6 ≅ ∠5

53.

Line l and m are cut by transversal n. Which statement proves that line l is parallel to line m?

a)

∠2 ≅ ∠3

b)

∠2 ≅ ∠6

c)

m∠7 + m∠8 = 180°

d)

m∠3 + m∠5 = 90°

54.

Which of the following relationship proves that j is parallel to k?

a)

∠3 and ∠4 are supplementary

b)

∠4 and ∠5 are supplementary

c)

∠1 ≅ ∠3

d)

∠2 ≅ ∠3

55.

If a // b and c // d in the figure below, then what is the value of x?

a)

47

b)

57

c)

133

d)

143

56.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

57.

Which value of x will show that lines l and m are parallel?

a)

20

b)

22

c)

24

d)

25

58.

Find the value of x. Type only the number.

(a)

59.

Find the value of x. Type only the number.

(a)

60.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Consecutive Int. Angles Converse

e)

Not Enough Information to Prove Parallel

61.

Which reason explains why the two lines are parallel?

a)

Corresponding Angles Converse

b)

Alt. Interior Angles Converse

c)

Alt. Exterior Angles Converse

d)

Not Enough Information to Prove Parallel

e)

Vertical Angles Theorem

62.

Match the following:

a)

1.

Same-side Interior Angles

b)

2.

Alternate Exterior Angles

c)

3.

Alternate Interior Angles

d)

4.

Corresponding Angles

63.

A line that passes through parallel lines is called a ______________.

a)

vertical lines

b)

a passer through line

c)

transversal

d)

perpendicular line

64.

What do we call lines that cross?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Transversal

65.

What do we call lines that will never intersect?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Transversal

66.

What do we call lines that intersect and form 90 degree angles?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Transversal

67.

Are these lines parallel?

a)

Yes

b)

No

68.

Are these perpendicular lines?

a)

No

b)

Yes

69.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

70.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

71.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

72.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

73.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

74.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

75.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

76.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

77.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

78.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

79.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

80.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

81.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

82.

Match the following opposite reciprocal

a)

-2/3

1.

3/2

b)

5/4

2.

-4/5

c)

15/4

3.

-4/15

d)

-7/5

4.

5/7

83.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

84.

Which figure shows a set of parallel lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

85.

Which figure shows a set of perpendicular lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

86.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

87.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

88.

Perpendicular lines have the same slope.

a)

True

b)

False

89.

The following represents slopes of two lines. Are they parallel, perpendicular, or neither?

m = 1/5 and m = 1/5

(a)

90.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

91.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

92.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

93.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

94.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

95.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

96.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

97.

Slopes of parallel lines are...

a)

opposite reciprocals. (different signs and flipped over)

b)

opposites.

c)

identical.

d)

always 7.

98.

Slopes of perpendicular lines are...

a)

opposite reciprocals. (different signs and flipped over)

b)

opposites.

c)

identical.

d)

always 7.

99.

What slope is parallel to 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

100.

What slope is parallel to 4

a)

4

b)

-1/4

c)

-4

d)

1/4

101.

What slope is perpendicular to 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

102.

What slope is perpendicular to 3

a)

-3

b)

-1/3

c)

1/3

d)

3

103.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

104.

Use slope to determine if the lines are parallel, perpendicular, or neither:

A line with these points (-9,-4) and (-7,-1), and a line with these points (-2,5) and (-6,-1)

a)

Parallel

b)

Perpendicular

c)

Neither

105.

Use slope to determine if the lines are parallel, perpendicular, or neither:

A line with these points (-4,17) and (1,-3), and a line with these points (-9,3) and (-5,4)

a)

Parallel

b)

Perpendicular

c)

Neither

106.

Use slope to determine if the lines are parallel, perpendicular, or neither:

A line with these points (12,-2) and (5,-10), and a line with these points (-4,10) and (4,3)

a)

Parallel

b)

Perpendicular

c)

Neither

107.

Use slope to determine if the lines are parallel, perpendicular, or neither:

A line with these points (-3,14) and (2,-1), and a line with these points (4,8) and (-2,-10)

a)

Parallel

b)

Perpendicular

c)

Neither

108.

Use slope to determine if the lines are parallel, perpendicular, or neither:

A line with these points (-6,16) and (2,-4), and a line with these points (-6,14) and (-2,4)

a)

Parallel

b)

Perpendicular

c)

Neither

109.

Use slope to determine if the lines are parallel, perpendicular, or neither:

A line with these points (2,-1) and (-3,-1), and a line with these points (-11,9) and (-7,9)

a)

Parallel

b)

Perpendicular

c)

Neither

110.

Are these lines parallel, perpendicular, or neither?

y = 4x + 2

y = (-1/4)x + 12

a)

parallel

b)

perpendicular

c)

neither

111.

Are these lines parallel, perpendicular, or neither?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

parallel

b)

perpendicular

c)

neither

112.

Are these lines parallel, perpendicular, or neither?

y = 12x + 4

y = 12x +14

a)

parallel

b)

perpendicular

c)

neither

113.

What is the location of Point A?

a)

$\left(6,2\right)$

b)

$\left(2,6\right)$

c)

$\left(2,1\right)$

d)

$\left(1,2\right)$

114.

If we rotate the triangle $90\degree\ clockwise$ where would point A be?

115.

If we rotate the triangle $90\degree\ clockwise$ where would point B be?

116.

If we rotate the triangle $90\degree\ clockwise$ where would point C be?

117.

If we rotate the triangle $90\degree\ counter\ clockwise$ where would point A be?

118.

If we rotate the triangle $90\degree\ counter\ clockwise$ where would point C be?

119.

If we rotate the triangle $90\degree\ counter\ clockwise$ where would point B be?

120.

What would point L be after the rotation?

121.

What would point F be after the rotation?

Geometry Review

Total questions: 121

Worksheet time: 7hrs 50mins

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