End-Of-Course Test

Name______Date______Class______

End-of-Course Test

Holt McDougal Analytic Geometry

Name______Date______Class______

Choose the best answer.

1.Factor x2 29x 210.

A(x 6) (x 35)

B(x 10) (x 21)

C(x 14) (x 15)

Dcannot be factored

2.QX bisects PQR. What is the greatest possible whole-number measure of
PQX?

F45H90

G89J100

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

A12C60

B40D80

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

F2.6H12.5

G4.1J18.4

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

A24C32

B25D34

6.Which is the contrapositive of the statement?

If 6  3x 7, then 3x1.

FIf 6  3x 7, then 3x1.

GIf 3x1, then 6  3x 7.

HIf 6  3x7, then 3x 1.

JIf 3x 1, then 6  3x7.

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

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.

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

BIf the local orchestra is playing a concert, then it must be June 12.

CIf the local orchestra is playing a concert, then it must be a Tuesday
in June.

DIf it is a Tuesday in June, then the local orchestra is playing a concert.

8.In the figure,
why is ?

FAll altitudes
are congruent.

GSymmetric Property
of Congruence

HReflexive Property of Congruence

JTransitive Property of Congruence

9.Which names a pair
of corresponding
angles?

A1 and 6C2 and 7

B3 and 8D3 and 7

10.What is the value of 12x 20?

F34H90

G88J100

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11.What is the slope of the line that passes through the points (1, 9) and (4, 6)?

BD5

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

Fy2x 3

Hy3x 1

13.Two of the three angle measures in a triangle are given. Which are angle measures of an acute triangle?

A11, 79C11, 89

B11, 59D11, 29

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

FrectangleHrhombus

GsquareJkite

15.Which are the lengths of the sides of an obtuse triangle?

A8, 11, 15C11, 11, 15

B9, 12, 15D10, 12, 15

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

F21.5 cmH37.2 cm

G24.8 cmJ74.5 cm

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

A4.5C85.5

B9D171

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

18.What postulate or theorem can be used to prove JKMLKM?

FSSSHASA

GSASJHL

19.Given that ML 12 feet, how wide is the garage?

A12 ftC25 ft

B24 ftD26 ft

20.What is MP?

FH6

GJ8

21.What is the value of x?

A25C65

B29D115

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

FOne pair of opposite angles is congruent.

GBoth pairs of opposite sides are parallel.

HBoth pairs of opposite sides are congruent.

JOne pair of opposite sides is both parallel and congruent.

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Holt McDougal Analytic Geometry

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

A3.9 ftC7.0 ft

B4.9 ftD7.6 ft

Refer to the figure for Exercises 24
and 25.

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?

F58.1 cmH116.2 cm

G82.1 cmJ164.3 cm

25.What is the area of the kite?

A200 cm2C1400 cm2

B400 cm2D2800 cm2

26.To the nearest tenth, what is AP?

F1.0 mH2.5 m

G2.2 mJ4.7 m

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

Af(x)x29x 22

Bf(x)x29x 22

Cf(x)x29x 22

Df(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?

F15 ftH28 ft

G22 ftJ42 ft

29. 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 ?

A16.1C25.5

B17.9D28.3

30.To the nearest thousandth, what is tan77?

F0.225H0.974

G0.231J4.331

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?

A31.1C38.6

B37.1D52.9

32.When the angle of elevation to the sun is 26, a flagpole casts a shadow that
is 82 feet long. What is the height of the
flagpole to the nearest foot?

F36 ftH74 ft

G40 ftJ166 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?

A113C157

B147D159

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34. Consider h(x) 2x26x 36. Identify
its vertex and y-intercept.

F(1.5, 40.5); (0, 36)

G(1.5, 40.5); (0, 18)

H(2, 40); (0, 36)

J(8, 2); (0, 16)

35.Write a quadratic equation that fits the points (4, 126), (2, 12), and (5, 54).

A21x2 117x 6

B5x2 13x 6

C5x2 13x 6

D45x2 213x 6

36.To the nearest tenth, what is the area of
a regular octagon with a perimeter
of 32 meters?

F77.3 m2H180.0 m2

G154.5 m2J1024 m2

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?

A133 ft2C640 ft2

B138 ft2D3200 ft2

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?

F0.25H0.75

G0.50J0.80

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.

AP 0.2CP 4

BP 0.25DP 5

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

F36 cm3H324 cm3

G108 cm3J432 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?

A4941.7 cm3C6589.0 cm3

B5321.9 cm3D19,766.9 cm3

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

F6 m3H12 m3

G8 m3J24 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 50?

A1.3 m2C35.3 m2

B5.1 m2D70.7 m2

Refer to the figure for
Exercises 44 and 45.

44.
and
What is mPRM?

F47H94

G57J105

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

A5.6C6.4

B6.0D7.0

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

F(4, 3)H(16, 9)

G(4, 3)J(16, 9)

Holt McDougal Analytic Geometry

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End-of-Course Test

Answers

Holt McDougal Analytic Geometry

Name______Date______Class______

End-of-Course Test

1.C17.B32.G

2.H18.J33.A

3.C19.B34.F

4.H20.H35.B

5.D21.C36.F

6.G22.F37.C

7.A23.D38.G

8.H24.J39.B

9.D25.C40.G

10.G26.H41.A

11.B27.C42.G

12.J28.G43.C

13.C29.C44.J

14.J30.J45.A

15.A31.B46.F

16.H

Holt McDougal Analytic Geometry