Free Printable FTCE 5-9 Math-Test Geometry Day 5

1.

A__________ is a fixed position in space and has no dimensions or size. #1

a)

Point

b)

Line

c)

Plane

d)

Cube

2.

Name the image. #2

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

3.

Name the image. #3

a)

Line

b)

Ray

c)

Line segment

d)

Angle

4.

What is part of a line that has two endpoints and includes all of the points in between? #4

a)

Point

b)

Angle

c)

Line

d)

Line Segment

5.

Points that lie on the same line are _________. #5

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

6.

A plane is named by... #6

a)

Any 1 point on the plane.

b)

Any 3 collinear points on the plane or a lowercase script letter.

c)

Any 3 non-collinear points on the plane or an uppercase script letter.

d)

All points on the plane that aren't part of a line.

7.

Points that lie on the same line are _________. #7

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

8.

Name two points collinear to Point K. #8

a)

H & M

b)

J & L

c)

N & J

d)

M & L

9.

If RT=36, find the value of x. #9

a)

3

b)

4

c)

5

d)

6

10.

If T is the midpoint of SU, find x. #10

a)

3

b)

4

c)

5

d)

2

11.

If G is the midpoint of segment FH, find FG. #11

a)

15

b)

30

c)

12

d)

24

12.

Write an equation that correctly models the lengths shown. #12

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

13.

Points A, B, and C are all collinear. Find BC. #13

a)

17

b)

3

c)

1

d)

15

14.

Q is the midpoint of PR. PQ = 6x – 7 and QR = 5x + 1. Find the length of PR. #14

a)

8

b)

16

c)

41

d)

82

15.

Given that C is between A & B, which Segment Addition statement is correct? #15

a)

AC + AB = CB

b)

AC + CB = AB

c)

AB + BC = AC

d)

CA + CB = CA

16.

What is the correct definition of an angle? #16

a)

one single ray

b)

two rays that meet at a single endpoint

c)

two lines that meet at a single endpoint

d)

two line segments that meet at a single endpoint

17.

What type of angle is shown? #17

a)

acute

b)

obtuse

c)

right

d)

straight

18.

What are complementary angles? #18

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

19.

What are vertical angles? #19

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°

20.

Which conditional correctly states the Vertical Angles Theorem? #20

a)

If <1 and <2 are vertical angles, then m < 1 = m < 2

b)

If m < 1 = m < 2, then <1 and <2 are vertical angles

c)

If <1 and <2 are vertical angles, then <1 and <2 form a linear pair

d)

If <1 and <2 are vertical angles, then <1 is adjacent to < 2

21.

What is a linear pair? #21

a)

two angles that are non-adjacent and whose non-common sides form a straight line.

b)

two angles that are adjacent and whose non-common sides form a straight line.

c)

two angles that are non-adjacent and whose common sides form a straight line.

22.

Find the measure of x: #22

(a)

23.

The measure of ∠AOC is 90^∘. Find the value of x. #23

a)

11

b)

10

c)

30

d)

50

24.

Find the value of x. #24

a)

88

b)

78

c)

84

d)

74

25.

Find the value of x. #25

a)

24

b)

34

c)

44

d)

54

26.

Identify the correct statement. #26

a)

∠1 & ∠2

are corresponding angles

b)

∠2 & ∠4

are corresponding angles

c)

∠5 & ∠8

are corresponding angles

d)

∠1 & ∠5

are corresponding angles

27.

Identify the correct statement. #27

a)

∠1 & ∠8

are alternate interior angles

b)

∠2 & ∠3

are alternate interior angles

c)

∠4 & ∠5

are alternate interior angles

d)

∠7 & ∠4

are alternate interior angles

28.

Which could be used to prove the lines are parallel? #28

a)

Alternate Interior

b)

Consecutive Interior

c)

Corresponding

d)

Cannot be proved parallel

29.

Which could be used to prove the lines are parallel? #29

a)

Corresponding

b)

Alternate Interior

c)

Linear Pair

d)

Cannot be proved parallel

30.

Select the figure that makes lines r and t parallel. #30

a)

b)

c)

d)

31.

In this figure, angle 1 = 135 degrees

Which of these statements is enough to prove that lines m and n are parallel? #31

a)

angle 2 = 45 degrees

b)

angle 3 = 135 degrees

c)

angle 8 = 135 degrees

d)

angle 5 = 135 degrees

32.

For what value of x are the lines parallel? What is the angle relationship between the angles given? #32

a)

x = 27 by Alternate Interior Angles Thm

b)

x = 63 by Alternate Interior Angles Thm

c)

x = 17 by Alternate Exterior Angles Thm

d)

x = 63 by Alternate Exterior Angles Thm

33.

#33

a)

No

b)

Yes, Corresponding angles are congruent

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

34.

What value of x makes line u and line v parallel? #34

a)

$x=7$

b)

$x=8$

c)

$x\ =\ 9$

d)

$x\ =-9$

35.

What value of x makes line u parallel to line v? #35

a)

$x=3$

b)

$x=-9$

c)

$x=9$

d)

$x=-3$

36.

Parallel lines e and f are cut by transversal b. What is the value of y? #36

(a)

37.

Which reason explains why the two lines are parallel? #37

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

38.

What value of x would make the lines parallel? #38

a)

13

b)

35

c)

37

d)

78

e)

102

39.

For what value of x are the two lines m and n parallel?

What is the angle relationship between the 2 angles? #39

a)

x = 9 by the Converse of the Alternate Exterior Angles Theorem

b)

x = 39 by the Converse of the Alternate Exterior Angles Theorem

c)

x = -9 by the Converse of the Alternate Interior Angles Theorem

d)

x = 7 by the Converse of the Corresponding Angles Theorem

40.

Which reason explains why the two lines are parallel? #40

a)

Converse of the Corresponding Angles Theorem

b)

Converse of the Alternate Interior Angles Theorem

c)

Converse of the Alternate Exterior Angles Theorem

d)

Converse of the Consecutive Interior (Same-Side Interior) Angles Theorem

e)

Not Enough Information to Prove Parallel

41.

Find x. #41

a)

x = 25

b)

x = 35

c)

No Solution

d)

Infinite Solutions

42.

What value of x will make m parallel to n? #42

a)

113

b)

166

c)

19

d)

133

43.

Find the measure of the indicated angle.

HINT!!! THE SUM OF THE ANGLES EQUALS 180 DEGREES. #43

(a)

44.

Solve for x.

HINT!!! THE SUM OF THE ANGLES EQUALS 180 DEGREES. #44

(a)

45.

Solve for x.

HINT!!! THE SUM OF THE ANGLES EQUALS 180 DEGREES. #45

a)

8

b)

-10

c)

-7

d)

6

46.

Fill in statement #3. #46

a)

$m\angle7=m\angle2$

b)

$m\angle1=m\angle6$

c)

$m\angle1=m\angle3$

d)

$m\angle4=m\angle5$

47.

Fill in reason #3. #47

a)

$\parallel\rightarrow$ corresponding angles are $\cong$

b)

Substitution Property

c)

$\parallel\rightarrow$ alternate interior angles are $\cong$

d)

Transitive Property

48.

Solve the diagram for x. #18

HINT: USE THE TRIANGLE SUM THEOREM

Angle A +Angle B+ Angle C=180 #48

(a)

49.

Find the value of x. #49

(a)

50.

Using the solution for x, what are the three angle measures of $\Delta YWZ$ ? #50

a)

$37\degree\ ,\ 68\degree\ ,\ 75\degree$

b)

$37\degree\ ,\ 37\degree\ ,\ 68\degree$

c)

$68\degree\ ,\ 6\degree\ ,\ 37\degree$

d)

$6\degree\ ,\ 75\degree\ ,\ 180\degree$

51.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. #51

a)

45°

b)

90°

c)

180°

d)

360°

52.

Find the value of x. #52

a)

1

b)

15

c)

11

d)

3

53.

Fill in statement #4. #53

a)

$m\angle7=m\angle4$

b)

$m\angle1=m\angle6$

c)

$m\angle1=m\angle3$

d)

$m\angle4=m\angle3$

54.

Fill in reason #5. #54

a)

Triangle Sum Theorem

b)

Substitution Property

c)

Prove

d)

Reflexive Property

55.

Which of the following terms best describes Angle d? #55

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

56.

Find the measure of the indicated angle.

HINT!!! USE THE EXTERIOR ANGLE THEOREM ANGLE 1 INSIDE + ANGLE 2 INSIDE = EXTERIOR ANGLE OUTSIDE. #56

a)

89

b)

211

c)

119

d)

81

57.

Find the value of x.*** #57

EXTERIOR ANGLE= REMOTE INTERIOR ANGLE 1 + REMOTE INTERIOR ANGLE 2

(a)

58.

Find the measure of the indicated angle. #58

a)

40

b)

108

c)

72

d)

68

59.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent. #59

a)

sides

b)

vertices

c)

angles

d)

measures

60.

What is the measure of ∠S? HINT!!! THIS IS AN ISOSCELES TRIANGLE. USE TRIANGLE SUM THEOREM angle R + angle T + angle S =180 DEGREES. #60

a)

60⁰

b)

52⁰

c)

45⁰

d)

36⁰

61.

What is the value of y? #9

Angle P and Angle Q are base angles. Angle P = Angle Q.

Remember to use the Triangle Sum Theorem: Angle P +Angle Q+ Angle R =180 degrees #61

a)

14

b)

98

c)

41

d)

5

62.

Find the value of x. #62

(a)

63.

What is the length of DF? #63

a)

8

b)

4

c)

25

d)

71

64.

Name the theorem or postulate that lets you immediately conclude ∆ABD ≅ ∆CBD. #64

a)

SAS

b)

AAS

c)

ASA

d)

H-L

e)

none of these

65.

State if the two triangles are congruent. If they are, state how you know. #65

a)

A

b)

B

c)

C

d)

D

66.

#66

a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

67.

ΔCZH ≅ Δ_____ by _____#67

a)

ΔZET , AAA

b)

ΔEZT , AAA

c)

ΔZET , SAS

d)

Cannot Be Determined

68.

Name the theorem that proves these triangles are congruent. #68

a)

SSS

b)

SAS

c)

ASA

d)

HL

69.

Name the theorem, if possible, that makes the triangles congruent. #69

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

70.

What is Statement #4? #70

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

71.

What is Reason #3? #71

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

72.

What is Reason #3? #72

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

73.

What is the formula for the sum of interior angles in a polygon? #73

a)

180(n−2)

b)

180(n−2)/n

c)

360

d)

360/n

74.

What is the sum of interior angles for a pentagon? #74

a)

900

b)

540

c)

360

d)

108

75.

What is the sum of interior angles for an octagon? #75

a)

1440

b)

1080

c)

1800

d)

135

76.

The sum of the interior angles of a polygon is 1620°. How many sides does the polygon have? #76

a)

8

b)

11

c)

3

d)

16

77.

Find the value of x. #77

a)

99 degrees

b)

199 degrees

c)

261 degrees

d)

360 degrees

78.

Find the value of x. #78

a)

106

b)

53

c)

233

d)

126

79.

Find the value of x. #79

a)

198

b)

162

c)

132

d)

66

80.

Find the value of x. #80

Type your answer as just the number.

(a)

81.

Which theorem explains that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side? #81

a)

Triangle Inequality Theorem

b)

Quadrilateral Inequality Theorem

c)

Theorum Inequality Theorem

d)

Triangle Equality Theorem

82.

Determine whether it is possible to draw a triangle with sides of the given measures. 18cm, 20cm, 40 cm. #82

a)

yes

b)

no

83.

Can a triangle be formed with side lengths:

24, 9, 30 #83

a)

yes

b)

no

c)

not enough information

84.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side? #84

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

85.

What is a possible third side to a triangle with side lengths of 13 and 4? #85

a)

9

b)

12

c)

8

d)

5

86.

The Pythagorean Theorem ONLY works on which triangle? #86

a)

obtuse

b)

scalene

c)

isosceles

d)

right

87.

Find the length of the missing side. #87

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

88.

Would a triangle with these side lengths be a right triangle? #88

4, 5, 6

a)

Yes

b)

No

89.

Which set of sides would make a right triangle? #89

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

90.

State if the three side lengths form an acute, obtuse, or right triangle: #90

6 mi, 14 mi, 17 mi

a)

acute

b)

obtuse

c)

right

91.

State if the three side lengths form an acute, obtuse, or right triangle: #91

7 in, 11 in, 13 in

a)

acute

b)

obtuse

c)

right

92.

MODELING REAL LIFE: Find the distance between the two platforms of the fire escape. Round to the nearest hundredth place. #92

(a)

93.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal) #93

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

94.

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch. #94

a)

7 inches

b)

10 inches

c)

19.7 inches

d)

13.7 inches

95.

What type of special triangle is this? #95

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

96.

What is the length of u and v in this 30-60-90 triangle? #96

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

97.

Find the value of a. #97

a)

3

b)

$3\sqrt{3}$

c)

6

d)

$\sqrt{3}$

98.

Find the value of x. #98

a)

4

b)

2

c)

√3

d)

2√2

99.

Find the value of x. #99

a)

22

b)

11√3

c)

11√2

d)

11

100.

Find the value of a. #100

a)

12

b)

24

c)

24√3

d)

16

101.

What is the value of y in this 30-60-90 triangle? #101

a)

$y=6$

b)

$y=3\sqrt{2}$

c)

$y=3\sqrt{3}$

d)

$y=\frac{3}{\sqrt{3}}$

102.

What type of special triangle is this? #102

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

103.

Find the missing side lengths. #103

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

104.

What is the length of x in this 45-45-90 triangle? #104

a)

4√2

b)

4

c)

8

d)

4√3

105.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...#105

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

106.

Choose the correct values for x and y in the right triangle. #106

a)

$x=14$

b)

$x=7\sqrt{2}$

c)

$y\ =\ 7$

d)

$y=7\sqrt{2}$

107.

What is the tangent ratio? #107

a)

b)

c)

108.

If you are given the two sides that are not the hypotenuse, which trigonometric function should you use? #108

a)

sine

b)

cosine

c)

tangent

d)

cotangent

109.

Which of the following equations will help you to calculate the value of p? #109

a)

$\tan40\degree=\frac{p}{12}$

b)

$\tan40\degree=\frac{12}{p}$

110.

Which of the following is correct for the diagram?#110

a)

$\tan50\degree=\frac{h}{2.3}$

b)

$\tan50\degree=\frac{2.3}{h}$

111.

Find the measurement of the missing side indicated. #111

a)

4.98

b)

5.98

c)

3.20

d)

4.18

112.

Solve for the x in the diagram. #112

a)

0.02

b)

4.2

c)

22.5

d)

15.9

113.

Find the value of x. #113

a)

4.7

b)

9.1

c)

.05

d)

21.6

114.

Find the mistake. #114

a)

tan 68 should be cos 68

b)

there is no mistake

c)

they should have divided

d)

x/14 should be 14/x

115.

Which statement below is true about the measure of angle B? #115

a)

$m\angle B=\tan^{-1}\left(\frac{12}{5}\right)\approx67\degree$

b)

$m\angle B=\tan^{-1}\left(\frac{5}{12}\right)\approx23\degree$

c)

$m\angle B=\tan^{-1}\left(\frac{12}{13}\right)\approx43\degree$

d)

$m\angle B=\tan^{-1}\left(\frac{13}{12}\right)\approx47\degree$

116.

What is the measure of the indicated angle? Round the answer to the nearest degree. #116

a)

29

b)

41

c)

61

d)

49

117.

What is the cosine ratio? #117

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{adjacent\ }{hypotenuse}$

c)

$\frac{opposite\ }{adjacent}$

d)

$\frac{hypotenuse}{adjacent}$

118.

What is the sine ratio? #118

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{adjacent\ }{hypotenuse}$

c)

$\frac{opposite\ }{adjacent}$

d)

$\frac{hypotenuse}{opposite}$

119.

Select all options that are true. #119

a)

$\cos\ z\ =\ \frac{18}{30}$

b)

$\sin\ z\ =\ \frac{18}{30}$

c)

$\tan\ z\ =\ \frac{18}{24}$

d)

$\tan\ x\ =\frac{30}{18}$

e)

$\cos\ x\ =\ \frac{18}{30}$

120.

Find the ratio for cos E. #120

a)

3/5

b)

4/5

c)

3/4

d)

1/4

121.

Solve for x. Round to the nearest tenth. #121

a)

9.8

b)

0.1

c)

0.038

d)

9.9

122.

Find the measure of the indicated angle (?) round to the nearest tenth. #122

a)

9.4

b)

55.2

c)

20.15

d)

19.4

123.

Find the measure of the missing angle. #123

a)

49^o

b)

50^o

c)

41^o

d)

33^o

124.

What would be the next step to solve for x? #124

a)

Multiply both sides by cos 75

b)

Divide both sides by cos 75

c)

Divide both sides by 75

d)

Multiply both sides by 11

125.

In the right triangle ΔABC, ∠C is a right angle, AC = 20, and m ∠A = 41º. Find AB to the nearest tenth. #125

(a)

126.

Find the value of r. #126

a)

17.73

b)

0.03

c)

0.02

d)

19.02

127.

The opposite sides of a parallelogram are... #127

a)

congruent

b)

perpendicular

c)

skew

d)

supplementary

128.

In a parallelogram, consecutive angles are __________. #128

a)

congruent

b)

supplementary

c)

corresponding

d)

parallel

129.

Is this a parallelogram? How do we know? #129

a)

yes,opposite sides are congruent

b)

no we can not prove it is a parallelogram

c)

yes, one pair of sides are congruent and parallel

d)

yes, opposite sides are parallel

e)

yes, diagonals bisect each other

130.

Why is this a parallelogram? #130

a)

both pairs of opposite sides are congruent

b)

both pairs of opposite sides are parallel

c)

both pairs of opposite angles are congruent

d)

diagonals bisect each other

131.

Determine whether the figure is a parallelogram. If so, state the reason. #131

a)

Yes, quadrilateral with 2 pairs of opposite sides ≅

b)

Yes, quadrilateral with 2 pairs of opposite angles ≅

c)

Yes, quad with diagonals bisecting each other

d)

not a parallelogram

132.

In a parallelogram, diagonals __________. #132

a)

are perpendicular

b)

bisect each other

c)

are congruent

d)

are parallel

133.

Fill in the Reason #4. #133

a)

Alternate interior angles are congruent.

b)

Vertical angles are congruent.

c)

Reflexive Property

d)

$\parallel\longrightarrow$ alternate interior angles are congruent

134.

What is reason #6? #134

a)

SSS Triangle Congruence Postulate

b)

AAS Triangle Congruence Theorem

c)

ASA Triangle Congruence Theorem

d)

SAS Triangle Congruence Theorem

135.

Determine the correct reason for statement #4. #135

a)

opposite sides of a parallelogram are congruent theorem

b)

all sides are parallel

c)

sides are congruent

d)

sides are supplementary

136.

Determine the correct reason for statement #136.

a)

Side Angle Side Triangle Congruence Theorem

b)

CPCTC

c)

Angle Side Angle Triangle Congruence Theorem

d)

Side Side Side Triangle Congruence Theorem

137.

What is the area of the rectangle shown on the coordinate grid? #137

a)

15 square units

b)

24 square units

c)

30 square units

d)

50 square units

138.

What is the perimeter of the rectangle? (Round to the nearest tenth) #138

a)

18

b)

about 23.6

c)

about 25.1

d)

about 21.6

139.

How do you represent a translation algebraically? #139

a)

(x, y) → (-y, -x)

b)

(x,y) → (x + a, y + b)

c)

(x, y) → (-x , -y)

d)

(x, y) → (ax, by)

140.

How is Quadrilateral EFGH translated to E'F'G'H'? #140

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

141.

Describe the translation of Point A (3, -8) to A'(-4, -5). #141

a)

(x, y) → (x-4, y-5)

b)

(x, y) → (x+7, y-3)

c)

(x, y) → (x-7, y+3)

d)

(x, y) → (x-3, y+7)

142.

Level 1: What is this transformation? #142

(x, y) →(-x, y)

a)

Reflect over the x axis

b)

Reflect over the y-axis

c)

Slide down 1

d)

slide left 1

143.

What is the Algebraic Notation for this Reflection? #143

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

144.

What is the rule for the reflection over the line y=x? #144

a)

r_y₌_x(x, y) → (–y, –x)

b)

r_y_=–_x(x, y) → (–y, –x)

c)

r_y₌_x(x, y) → (y, x)

d)

r_y_=–_x(x, y) → (y, x)

145.

What are the coordinates of the image of vertex G after a reflection across the line y = x? #145

a)

(–4, –5)

b)

(4, 5)

c)

(–5, 4)

d)

(5, –4)

146.

How many lines of symmetry does this shape have? #146

a)

1

b)

2

c)

3

d)

4

147.

How many lines of symmetry does the butterfly have? #147

a)

1

b)

2

c)

3

d)

4

148.

Solve for x. #148

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

149.

Find y. #149

a)

144

b)

18

c)

72

d)

12

150.

Two objects that are the same shape but not the same size are _______. #150

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

151.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree? #151

(a)

152.

What is the area of a circle with a diameter of 16 cm? #152

a)

66 cm

b)

200.96 cm

c)

66.5 cm

d)

10 m

153.

What does the "area" of a circle mean? #153

a)

The space a circle takes up

b)

The distance around a circle

c)

a line from one side of a circle to another

d)

a line from center of circle to side

154.

What is π ? (Best Choice)

Watch the video at the end of the question. #154

a)

The ratio of the circumference of any circle to its diameter.

b)

Exactly 3.14

c)

Exactly 3.1415

d)

Exactly 3.141593

155.

A circle has a radius of 6 inches. What is the area of the circle? (Best Choice) #155

a)

3π or about 9.42 in²

b)

6π or about 18.84 in²

c)

12π or about 37.68 in²

d)

36π or about 113.04 in²

156.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find, to the nearest degree, the measure of minor arc RN. #156

(a)

157.

Find the length of the radius given the arc length of arc AB shown. Round your answer to the nearest tenth. #157

a)

53.4 cm

b)

154.3 cm

c)

24.6 cm

d)

12.8 cm

158.

Find the arc length. Round to the nearest tenth. DO NOT FORGET YOUR UNITS. #158

a)

33.0 yd

b)

16.5 ft

c)

33.0 ft

d)

17.8 yd

159.

Find the arc length. Round to the nearest tenth. DO NOT FORGET YOUR UNITS. #159

a)

6.7 cm

b)

3.1 ft

c)

6.3 cm

d)

12.6 ft

160.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree. #160

a)

90

b)

60

c)

55

d)

113

161.

Calculate the area of the sector. #161

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

162.

Calculate the area of the shaded portion of the given circle. #162

a)

$2.4\ m^2$

b)

$63.6\ m^2$

c)

$10.6\ m^{2\ }$

d)

$28.3\ m^2$

163.

What is the area of the shaded region? Round to the nearest hundredth. #163

a)

1.26

b)

452.39

c)

9.42

d)

113.10

164.

10 yards = _______ feet. #164

a)

360

b)

3.5

c)

30

d)

120

165.

48 inches = _______ feet #165

a)

16

b)

1 1/2

c)

4

d)

144

166.

How many yards are in 168 feet?
Remember: There are 3 feet in 1 yard. #166

a)

65

b)

21

c)

82

d)

56

167.

Ryan's car weighs $1\ \frac{1}{4}$ tons. How many pounds does his car weigh? #167

a)

2,000 lb

b)

2,125 lb

c)

2,375 lb

d)

2,500 lb

168.

96 feet = _____ yards #168

3 feet = 1 yard

a)

99 yards

b)

64 yards

c)

32 yards

169.

Calculate the area of the triangle. #169

a)

50 cm²

b)

25 cm²

c)

12.5 cm²

d)

100 cm²

170.

Area or triangle? #170

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

171.

What is the area of the shaded region? #171

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

172.

Decompose this irregular figure and find its combined area. #172

a)

36 cm2

b)

42 cm2

c)

144 cm2

d)

15 cm2

173.

Bob has a rectangular prism gift box what it the volume of bobs gift box? #173

(a)

174.

Find the Volume of the composite figure. #174

(a)

175.

$V_{total}=V_{cone}+V_{cylinder}$ V =? $V_{total}=\frac{\pi r^2h}{3}+\pi r^2h$ Remember there are 2 different heights. #175

a)

1,356 m³

b)

1,734 m³

c)

377 m³

d)

590 m³

176.

Find the surface area of a cube with a side length of 12 m. #176

a)

144 m²

b)

36 m²

c)

864 m²

d)

216 m²

177.

Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π. #177

a)

175.84 mm²

b)

709.89 mm²

c)

75.36 mm²

d)

100.48 mm²

178.

Find the Surface Area. #178

a)

15m²

b)

16m²

c)

18m²

d)

20m²

179.

Jesse needs to wrap the present shown above. How much wrapping paper would he need?

Which formula can be used to find the surface area of the present? #179

a)

S=2B + Ph

b)

S=2πrh+2πr²

c)

S=Ph

d)

V=Bh

180.

What is the surface area of the cylinder to the nearest square inch? #180

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

181.

What is the Lateral Surface Area of the tent? #181

HINT: FIND THE PERIMETER OF THE BASE TRIANGLE FIRST.

a)

150 in²

b)

12,000 in²

c)

4000 in²

d)

14,000 in²

182.

Find the total surface area of the cylinder. #182

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

183.

Which calculation would determine the coordinates of the midpoint of the segment that connects

$\left(-2,7\right)$ and $\left(6,-5\right)$ ? #183

a)

$\left(\frac{-2+6}{2},\frac{7+-5}{2}\right)$

b)

$\left(\frac{-2+7}{2},\frac{6+-5}{2}\right)$

c)

$\left(\frac{-2+-5}{2},\frac{7+6}{2}\right)$

d)

$\left(-2+6,7+-5\right)$

184.

Complete the question to determine the coordinates of the midpoint of the segment that connects

$\left(-2,7\right)$ and $\left(6,-5\right)$ . #184

a)

$\left(2,1\right)$

b)

$\left(\frac{5}{2},\frac{1}{2}\right)$

c)

$\left(-\frac{7}{2},\frac{13}{2}\right)$

d)

$\left(4,2\right)$

185.

Which calculation would determine the length of the segment that connects

$\left(-2,7\right)$ and $\left(3,-5\right)$ ? #185

a)

$d=\sqrt{\left(3--2\right)^2+\left(-5-7\right)^2}$

b)

$d=\sqrt{\left(3--5\right)^2+\left(-2-7\right)^2}$

c)

$d=\sqrt{\left(3--7\right)^2+\left(-2-5\right)^2}$

186.

Complete the question to determine the length of the segment that connects

$\left(-2,7\right)$ and $\left(3,-5\right)$ . #186

a)

$d=\sqrt{\left(5\right)^2+\left(-12\right)^2}=13$

b)

$d=\sqrt{\left(8\right)^2+\left(-9\right)^2}=\sqrt{145}$

c)

$d=\sqrt{\left(10\right)^2+\left(-7\right)^2}=\sqrt{149}$

187.

Find the volume of the sphere. #187

a)

V= 392.5 ft³

b)

V=104.6667 ft³

c)

V= 65.4167 ft³

d)

V= 523.3333 ft³

188.

Find the volume of the Sphere. Use 3.14 for pi. $V=\frac{4\pi r^3}{3}$ #188

a)

337.3 ft³

b)

137.2 ft³

c)

274.4 ft³

d)

205.8 ft³

189.

Find the surface area of the figure.
Round your answer to the nearest hundredth.
Use the formula: $SA=4\pi r^2$ #189

a)

706.86 $m^2$

b)

2,826 $m^2$

c)

353.43 $m^2$

d)

176.63 $m^2$

190.

Find the surface area of the figure.
Round your answer to the nearest hundredth.
Use the formula: $SA=4\pi r^2$ #190

a)

1,520.53 $cm^2$

b)

760.27 $cm^2$

c)

379.94 $cm^2$

d)

759.88 $cm^2$

FTCE 5-9 Math-Test Geometry Day 5

Total questions: 190

Worksheet time: 16hrs 49mins

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