End-of-Course Test. Choose the best answer

Name ________________________________________ Date __________________ Class__________________ End-of-Course Test Choose the best answer. 7. Which co...
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Name ________________________________________ Date __________________ Class__________________

End-of-Course Test Choose the best answer.

7. Which conjecture is valid by the Law of Syllogism?

2

1. Factor x  29x  210.

Given: If it is June 12, then the local orchestra will play a concert. If the local orchestra is playing a concert in June, then the day must be Tuesday.

A (x  6) (x  35) B (x  10) (x  21) C (x  14) (x  15) D cannot be factored

A If it is June 12, then the day must be Tuesday.

2. QX bisects ‘PQR. What is the greatest possible whole-number measure of ‘PQX? F 45q

H 90q

G 89q

J 100q

B If the local orchestra is playing a concert, then it must be June 12. C If the local orchestra is playing a concert, then it must be a Tuesday in June.

3. The ratio of the measures of two supplementary angles is 8 : 4. What is the measure of the smaller angle? A 12q

C 60q

B 40q

D 80q

D If it is a Tuesday in June, then the local orchestra is playing a concert. 8. In the figure, why is QS # QS ? F All altitudes are congruent.

4. To the nearest tenth, what is the distance between the points (10, 11) and (1, 5)? F 2.6

H 12.5

G 4.1

J 18.4

G Symmetric Property of Congruence H Reflexive Property of Congruence J Transitive Property of Congruence

5. Which is next in the sequence? 1, 2, 7, 14, 23, . . . A 24

C 32

B 25

D 34

9. Which names a pair of corresponding angles?

6. Which is the contrapositive of the statement? If 6  3x d 7, then 3x t 1.

A ‘1 and ‘6

C ‘2 and ‘7

B ‘3 and ‘8

D ‘3 and ‘7

10. What is the value of 12x  20?

F If 6  3x ! 7, then 3x ! 1. G If 3x  1, then 6  3x ! 7. H If 6  3x d 7, then 3x t 1. J If 3x t 1, then 6  3x d 7.

F 34

H 90

G 88

J 100

© Houghton Mifflin Harcourt Publishing Company

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Holt McDougal Analytic Geometry

Name ________________________________________ Date __________________ Class__________________

End-of-Course Test continued 11. What is the slope of the line that passes through the points (1, 9) and (4, 6)? A 

5 3

C

B 

3 5

D 5

1 5

The figure represents the wooden truss used to support the roof of a garage. Use the figure for Exercises 18 and 19.

12. Which is the equation of the line in the graph? F y

2x  3

G y

3  x 3 2

18. What postulate or theorem can be used to prove UJKM # ULKM? H ASA

G SAS

J HL

19. Given that ML garage?

H y 3x  1 J y

F SSS

2  x 1 3

C 11q, 89q

B 11q, 59q

D 11q, 29q

H rhombus

G square

J kite

15. Which are the lengths of the sides of an obtuse triangle? A 8, 11, 15

C 11, 11, 15

B 9, 12, 15

D 10, 12, 15

H 37.2 cm

G 24.8 cm

J 74.5 cm

C 85.5q

B 9q

D 171q

D 26 ft

F 3 2

H 6

G 4 2

J 8

A 25

C 65

B 29

D 115

F One pair of opposite angles is congruent. G Both pairs of opposite sides are parallel. H Both pairs of opposite sides are congruent.

17. What is the measure of one exterior angle of a regular polygon having 40 sides? A 4.5q

B 24 ft

22. Which CANNOT be used to prove that a quadrilateral is a parallelogram?

16. To the nearest tenth, what is the altitude of an equilateral triangle whose sides measure 43 centimeters? F 21.5 cm

C 25 ft

21. What is the value of x?

14. Which polygon has line symmetry but not rotational symmetry? F rectangle

A 12 ft 20. What is MP?

13. Two of the three angle measures in a triangle are given. Which are angle measures of an acute triangle? A 11q, 79q

12 feet, how wide is the

J One pair of opposite sides is both parallel and congruent.

© Houghton Mifflin Harcourt Publishing Company

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Holt McDougal Analytic Geometry

Name ________________________________________ Date __________________ Class__________________

End-of-Course Test continued 23. The figure represents a rectangular gate with diagonal braces. To the nearest tenth, what is the width, QT, of the gate?

A 3.9 ft

C 7.0 ft

B 4.9 ft

D 7.6 ft

27. Write a quadratic function in standard form having zeros of 2 and 11.

G 82.1 cm

J 164.3 cm C 1400 cm2

B 400 cm2

D 2800 cm2

x2  9x  22

C f(x )

x2  9x  22

F 15 ft

H 28 ft

G 22 ft

J 42 ft

A 16.1

F 0.225

A 31.1q

G 2.2 m

J 4.7 m

C 38.6q

B 37.1q D 52.9q 32. When the angle of elevation to the sun is 26q, a flagpole casts a shadow that is 82 feet long. What is the height of the flagpole to the nearest foot? F 36 ft

H 2.5 m

H 0.974

G 0.231 J 4.331 31. The legs of a right triangle measure 11.4 meters and 15.1 meters. To the nearest tenth, which could be the measure of the smallest angle?

26. To the nearest tenth, what is AP?

F 1.0 m

C 25.5

B 17.9 D 28.3 30. To the nearest thousandth, what is tan77q?

25. What is the area of the kite? A 200 cm2

B f(x )

29. MN with endpoints M(9, 3) and N(1, 5) is dilated by a scale factor of 2.5. To the nearest tenth, what is the length of M cN c ?

24. Kim is making a kite with a wooden frame. The measures of the frame are shown. She will use cloth binding to cover the outer edges of the kite. To the nearest tenth, how many centimeters of binding will she need? H 116.2 cm

x2  9x  22

D f(x) x2  9x  22 28. Starla is 5 feet 9 inches tall. To find the height of a tree, she measured her shadow and the tree’s shadow. Her shadow was 8 feet long when the tree’s shadow was 30 feet long. To the nearest foot, how tall is the tree?

Refer to the figure for Exercises 24 and 25.

F 58.1 cm

A f(x )

H 74 ft

G 40 ft J 166 ft 33. The sides of a triangle measure 18 inches, 25 inches, and 36 inches. To the nearest degree, what is the measure of the largest angle? A 113q

C 157q

B 147q

D 159q

© Houghton Mifflin Harcourt Publishing Company

113

Holt McDougal Analytic Geometry

Name ________________________________________ Date __________________ Class__________________

End-of-Course Test continued 34. Consider h(x) 2x2  6x  36. Identify its vertex and y-intercept.

40. What is the volume of a rectangular prism that is 4 inches wide, 9 inches long, and 3 inches high?

F (1.5, 40.5); (0, 36) G (1.5, 40.5); (0, 18) H (2, 40); (0, 36) 35. Write a quadratic equation that fits the points (4, 126), (2, 12), and (5, 54). A 21x2  117x  6 2

B 5x  13x  6 2

C 5x  13x  6 36. To the nearest tenth, what is the area of a regular octagon with a perimeter of 32 meters? G 154.5 m2

J 1024 m2

B 138 ft

2

C 640 ft2 D 3200 ft

2

J 432 cm3

A 4941.7 cm3

C 6589.0 cm3

B 5321.9 cm3

D 19,766.9 cm3

F 6 m3

H 12 m3

G 8 m3

J 24 m3

43. To the nearest tenth, what is the area of a sector of a circle of radius of 9 meters if the central angle is 50q?

37. The area of a trapezoid is 128 square feet. If the height of the trapezoid is increased by a factor of 5, what is the area of the new trapezoid? A 133 ft2

G 108 cm3

42. What is the volume of a square pyramid with base area of 4 square meters and a height of 6 meters?

D 45x2  213x  6

H 180.0 m2

H 324 cm3

41. To the nearest tenth, what is the volume of a cylinder with a diameter of 22 centimeters and a height of 13 centimeters?

J (8, 2); (0, 16)

F 77.3 m2

F 36 cm3

A 1.3 m2

C 35.3 m2

B 5.1 m2

D 70.7 m2

Refer to the figure for Exercises 44 and 45. p 44. mPN q mQN

38. A rectangular scarf with the design shown is set out to dry. A fly lands on the scarf. What is the probability that it lands in the shaded region?

q mMQ

78q, 163.5q, and 72q. What is m‘PRM?

F 47q

H 94q

G 57q

J 105q

45. PR 6, NR 15, and QR 14. To the nearest tenth, what is MR? F 0.25

H 0.75

A 5.6

C 6.4

G 0.50

J 0.80

B 6.0

D 7.0

39. The air conditioner cycles on once every 28 minutes and stays on for 7 minutes. Find the probability that the air conditioner will be on when you walk in the door. A P

0.2

C P

B P

0.25

D P 5

46. The equation for a circle is (x  4)2  (y  3)2 25. Which pair of coordinates locates its center?

4

F (4, 3)

H (16, 9)

G (4, 3)

J (16, 9)

© Houghton Mifflin Harcourt Publishing Company

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Holt McDougal Analytic Geometry

Unit

7

End-of-Course Test Answers

End-of-Course Test 1. C

17. B

32. G

2. H

18. J

33. A

3. C

19. B

34. F

4. H

20. H

35. B

5. D

21. C

36. F

6. G

22. F

37. C

7. A

23. D

38. G

8. H

24. J

39. B

9. D

25. C

40. G

10. G

26. H

41. A

11. B

27. C

42. G

12. J

28. G

43. C

13. C

29. C

44. J

14. J

30. J

45. A

15. A

31. B

46. F

16. H

© Houghton Mifflin Harcourt Publishing Company

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Holt McDougal Analytic Geometry

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