Free Printable UPCAT Geometry

1.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

2.

The special pair of angles shown are:

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

3.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

4.

Two angles added together to equal 90 degrees are:

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

5.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

6.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

7.

Supplementary Angles add up to _____ degrees.

a)

180

b)

55

c)

100

d)

90

8.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

9.

What is the measure of the missing angle?

a)

92

b)

102

c)

82

d)

72

10.

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

a)

7°

b)

17°

c)

83°

d)

97°

11.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

12.

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°

13.

What is the supplement angle to 42°?

a)

48°

b)

138°

c)

100°

d)

Not possible

14.

$-4x+3=-29$

a)

$x=4$

b)

$x=6$

c)

$x=2$

d)

$x=8$

15.

$-5x-1=-16$

a)

$x=3$

b)

$x=-4$

c)

$x=2$

d)

$x=5$

16.

Solve:
10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

17.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

18.

Name the angle form by lines KL and ML in the long form.

a)

∠LMK

b)

∠KML

c)

∠KLM

19.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

20.

Name this angle.

a)

acute

b)

right

c)

obtuse

d)

none of the above

21.

Name this angle.

a)

acute

b)

right

c)

obtuse

d)

none of the above

22.

Name this angle.

a)

acute

b)

right

c)

obtuse

d)

none of the above

23.

Name this angle.

a)

acute

b)

right

c)

obtuse

d)

none of the above

24.

Two lines going the exact same way and will never intersect

a)

Alternate exterior angles

b)

Parallel lines

c)

Alternate interior angles

d)

Vertical lines

25.

Define Obtuse

a)

Less than 90

b)

Exactly 90

c)

Greater than 90 and less than 180

d)

Exactly 180

26.

_{What is the measure of the following angle?}

a)

123 degrees.

b)

180 degrees.

c)

142 degrees.

d)

97 degrees.

27.

What is the measure of this angle?

a)

132 degrees

b)

128 degrees

c)

48 degrees

d)

52 degrees

28.

What is the measure of this angle?

a)

30 degrees

b)

150 degrees

c)

0 degrees

d)

180 degrees

29.

Another name for a right angle is ___________.

a)

square angle

b)

correct angle

c)

90 degree angle

d)

none of the above

30.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

31.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

32.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

33.

Two angles added together to equal 90 degrees is:

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

34.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

35.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

36.

Supplementary Angles measure _____ degrees.

a)

180

b)

55

c)

100

d)

90

37.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

38.

What is the measure of the missing angle?

a)

92

b)

102

c)

82

d)

72

39.

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

a)

7°

b)

17°

c)

83°

d)

97°

40.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

41.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

42.

What is the supplement angle to 42°?

a)

48°

b)

138°

c)

100°

d)

Not possible

43.

What is the complement angle to 30°?

a)

60°

b)

30°

c)

150°

d)

230˚

44.

How are these angles related?

a)

Vertrical

b)

Complementary

c)

Adjacent

d)

Supplementary

45.

Choose all that apply: Which angle measurements below are supplementary to each other?

a)

144 and 36

b)

36 and 54

c)

40 and 50

d)

126 and 54

e)

21 and 159

46.

Solve for x.

a)

27

b)

23

c)

47

d)

113

47.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

48.

Practice 1c: Name a pair of linear pair angles

a)

$\angle1\ \ and\ \angle4$

b)

$\angle3\ \ and\ \angle2$

c)

$\angle4\ \ and\ \angle5$

d)

$\angle3\ \ and\ \angle5$

49.

One angle theat measures exactly 180 degrees.

a)

Right angle

b)

Straight angle

c)

Supplementary angles

d)

Complementary angles

50.

The common endpoint of two intersecting rays. (Forms an angle)

a)

Line

b)

Perpendicular lines

c)

Parallel lines

d)

Vertex

51.

Angles that have a common side and the same vertex.

a)

Adjacent angles

b)

Vertical angles

c)

Straight angles

d)

Complementary angles

52.

Two angles that add to 90^o .

a)

Supplementary angles

b)

Perpendicular angles

c)

Complementary angles

d)

Congruent angles

53.

Two angles that add up to 180^o.

a)

Complementary angles

b)

Supplementary angles

c)

Straight angle

d)

Right angle

54.

Two lines that intersect at right angles.

a)

Parallel lines

b)

Perpendicular lines

c)

Congruent lines

d)

Transversal.

55.

Two lines that NEVER intersect.

a)

Parallel lines

b)

Perpendicular lines

c)

Congruent lines

d)

Transversal.

56.

Meaning same size and shape.

a)

Complementary angles.

b)

Parallel lines

c)

Perpendicular lines

d)

Congruent

57.

Angles across from each other when 2 lines intersect (all congruent)

a)

Right angles

b)

Supplementary angles

c)

Adjacent angles

d)

Vertical angles

58.

A line that intersects parallel lines.

a)

Transversal

b)

Congruent

c)

Perpendicular

d)

Parallel

59.

A pair of angles that are on the opposite sides of the transversal and inside the parallel lines. (also congruent)

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Adjacent angles

d)

Corresponding angles

60.

A pair of angles that are on the opposite sides of the transversal and outside the parallel lines. (also congruent)

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Adjacent angles

d)

Corresponding

61.

A pair of angles that are in the same location on the other parallel line.

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Adjacent angles

d)

Corresponding angles

62.

Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?

a)

(-1,3)

b)

(5,3)

c)

(5,8)

d)

(3,5)

63.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

64.

Which rule describes rotating 270° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

65.

If (12,-19) if rotated 90 degrees CCW, what will it become?

a)

(12,-19)

b)

(19,12)

c)

(-19,-12)

d)

(-12,19)

66.

Which of the following is not a rigid transformation?

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

67.

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

a)

½

b)

¼

c)

4

d)

2

68.

If the origin is the center of this dilation, choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

69.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

70.

What variable do you eliminate, and what do you multiply the equation(s) by?

5x + y = 9

10x − 7y = −18

a)

You eliminate x, and multiply the top equation by 11

b)

You eliminate y, and multiply the top equation by 7

71.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

72.

Name the angle using three letters.

a)

∠e

b)

∠f

c)

∠FED

d)

∠FDE

73.

Name the angle using three letters.

a)

∠LMK

b)

∠KML

c)

∠KLM

74.

Which is the vertex of the angle?

a)

X

b)

Y

c)

Z

75.

Name the figure.

a)

ray

b)

line

c)

line segment

d)

point

76.

What is the term for a part of a line with two endpoints?

a)

point

b)

ray

c)

angle

d)

line segment

77.

What is this?

a)

Line segment

b)

Ray

c)

Point

d)

Line Segment

78.

Name the figure using geometric notation.

a)

$\overleftarrow{F}\overrightarrow{G\ }$

b)

$\overline{FG}$

c)

$\overrightarrow{FG}$

79.

Name the figure using geometric notation.

a)

$\overline{JK}$

b)

$\overleftarrow{J}\overrightarrow{K\ }$

c)

$\overrightarrow{KJ}$

80.

What is a name for this line?

a)

b)

c)

d)

81.

$\overline{xy}$ What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

82.

Which geometric figure has only one endpoint because it continues infinitely in one direction?

a)

line

b)

line segment

c)

ray

d)

plane

83.

A _____ is straight and extends in both directions forever.

a)

point

b)

line

c)

line segment

d)

ray

84.

What geometric figure is represented by a dot and named by a capital letter?

a)

line

b)

point

c)

ray

d)

line segment

85.

Find the value of x

a)

24

b)

22

c)

26

d)

28

86.

Find the value of x

a)

-7

b)

7

c)

-2

d)

-4

87.

Find the value of x

a)

20

b)

13

c)

19

d)

24

88.

Find the value of x

a)

20

b)

24

c)

27

d)

26

89.

Find the value of x

a)

25

b)

22

c)

24

d)

28

90.

Find the value of x

a)

18

b)

13

c)

10

d)

20

91.

Find the measure of the angle to the nearest degree.

a)

145^o

b)

170^o

c)

10^o

d)

100^o

92.

Find the measure of the angle to the nearest degree.

a)

56^o

b)

124^o

c)

76^o

d)

114^o

93.

Find the measure of the angle to the nearest degree.

a)

153^o

b)

145^o

c)

63^o

d)

117^o

94.

Find the measure of the angle to the nearest degree.

a)

51^o

b)

141^o

c)

39^o

d)

129^o

95.

Find the measure of the angle to the nearest degree.

a)

151^o

b)

119^o

c)

61^o

d)

29^o

96.

Find the measure of the angle to the nearest degree.

a)

58^o

b)

122^o

c)

32^o

d)

148^o

97.

$\sqrt{50}$

a)

$5\sqrt{2}$

b)

$\sqrt{5}$

c)

$2\sqrt{5}$

d)

$25\sqrt{2}$

98.

$\sqrt{45}$ =

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

99.

$\sqrt{300}$

a)

$3\sqrt{10}$

b)

$2\sqrt{150}$

c)

$100\sqrt{3}$

d)

$10\sqrt{3}$

100.

$\sqrt{40}$

a)

$4\sqrt{10}$

b)

$10\sqrt{4}$

c)

$2\sqrt{10}$

d)

$10\sqrt{2}$

101.

a)

A

b)

B

c)

C

d)

D

102.

$\sqrt{243}$

a)

$3\sqrt{3}$

b)

$9\sqrt{3}$

c)

$81\sqrt{3}$

d)

$3\sqrt{81}$

103.

$\frac{1}{\sqrt{2}}$ Rationalize the denominator

a)

$\sqrt{2}$

b)

$2\sqrt{2}$

c)

2

d)

$\frac{\sqrt{2}}{2}$

104.

$\frac{5}{\sqrt{3}}$ Rationalize the denominator

a)

$5\sqrt{3}$

b)

$\sqrt{3}$

c)

$\frac{15\sqrt{3}}{ }$

d)

$\frac{5\sqrt{3}}{3}$

105.

$\frac{10}{\sqrt{2}}$ Simplify the expression

a)

10

b)

$2\sqrt{5}$

c)

$5\sqrt{2}$

d)

$\sqrt{10}$

106.

$\frac{\sqrt{6}}{\sqrt{2}}$ Simplify

a)

3

b)

$\sqrt{3}$

c)

$\sqrt{12}$

d)

$\frac{6}{\sqrt{2}}$

107.

$\frac{4}{\sqrt{2}}$ Simplify

a)

2

b)

4

c)

$4\sqrt{2}$

d)

$2\sqrt{2}$

108.

$Find\ the\ side\ of\ a\ square\ garden\ with\ an\ area\ of\ 24\ m\ ^2.$

a)

6 meters

b)

$2\sqrt{6}meters$

c)

$6\sqrt{2}meters$

d)

12 meters

109.

$Find\ the\ perimeter\ of\ a\ garden\ witn\ an\ area\ of\ 49\ square\ feet.$

a)

7 feet

b)

28 feet

c)

14 feet

d)

$2\sqrt{49}\ feet$

110.

Determine the slope.

a)

-5

b)

5

c)

-1/5

d)

1/5

111.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

112.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

113.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

114.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

115.

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

116.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

117.

What is the slope?

a)

Positive

b)

Negative
Negative

c)

Zero

d)

Undefined

118.

A line that has a slope of m = 0 is

a)

Horizontal

b)

Vertical

c)

really steep

d)

not so steep

119.

What is the slope formula?

a)

b)

c)

d)

120.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

121.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

122.

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

123.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 7 and m = -7

a)

Parallel

b)

Perpendicular

c)

Neither

124.

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

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

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

125.

Which two lines are parallel?

a)

Line A and Line B

b)

Line A and Line C

c)

Line B and Line C

126.

Which two lines are perpendicular?

a)

Line A and Line B

b)

Line B and Line C

c)

Line A and Line C

127.

Name 4 collinear points

a)

HMNO

b)

IKNO

c)

MJOL

d)

HNKI

128.

An example of 2 non-collinear points.

a)

D, E

b)

C, B

c)

F, E

d)

F, B

129.

Give another name for line k.

a)

Line BC

b)

Line BCF

c)

Line ED

d)

Line k is the only name, there isn't another name.

130.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

131.

A line that extends from a point in one direction and travels forever is called a ...

a)

perpendicular line

b)

line segment

c)

ray

d)

parallel line

132.

Name the Image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

133.

An exact location in space with no length or width.

a)

Ray

b)

Point

c)

Line

d)

Line segment

134.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

135.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,0)

b)

(7,-9)

c)

(4,-3)

d)

(-1,2)

136.

Find the other endpoint of the line segment with the given endpoint (4,0) and midpoint (-2,8)

a)

(3,-4)

b)

(-8,16)

c)

(2,3)

d)

(5,9)

137.

Find the distance between (2,3) & (4,1)

a)

3

b)

5.66

c)

2.83

d)

2.79

138.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

139.

The town of easy is mapped in a coordinate grid with the origin being at the statue before City hall. KFC is located at the point (3,7) and McDonald's is located at (-3,7). How far is it from KFC to McDonald's?

a)

11 units

b)

5 units

c)

6 units

d)

8 units

UPCAT Geometry

Total questions: 139

Worksheet time: 4hrs 58mins

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