Questions

1) Which statement may not be true about a rhombus?

a.) The diagonals of a rhombus bisect its four angles.

b.) The diagonals of a rhombus are perpendicular.

c.) The diagonals of a rhombus are congruent.

d.) The diagonals of a rhombus bisect each other.

2) Which property is true about a kite?

a.) A kite has one pair of opposite sides that are parallel.

b.) A kite has two distinct pairs of adjacent congruent sides.

c.) A kite has congruent diagonals.

d.) A kite has two distinct pairs of opposite congruent sides.

3) Which statement is the BEST description of a square?

a.) A square is a rectangle.

b.) A square is a rhombus.

c.) The diagonals of a square are perpendicular.

d.) The diagonals of a square are congruent.

e.) All of the above.

4) Solve for K.

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5) What is the value of “x”?

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6) What is the value of “x”?

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7) If the perimeter of triangle STU is 125 cm, and segments TW, VW, and VT measure 21 cm, 30 cm, and 24 cm, respectively, what is the length of segment SU?

a.) 35 cm

b.) 40 cm

c.) 45 cm

d.) 50 cm

8) Which of the following is true based on the information given in the figure?

a.) Segment FG is parallel to segment CD.

b.) Point G is the midpoint of segment DE.

c.) Segment CF is congruent to segment EF.

d.) All of the above.

e.) None of the above.

9) What is the value of “x”?

a.) 10

b.) 4

c.) 4.5

d.) 7.5

10) If the length of one side of an equilateral triangle measures 40 cm, what is the length of its altitude? State the letter of the correct answer.

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11) What is the value of “x” to the nearest tenth of an inch?

a.) 10.7 in

b.) 55.0 in

c.) 11.0 in

d.) 58.6 in

12) In the triangle shown below, (a) what is the value of “x” and (b) what is the value of “y”? Round each answer to the nearest tenth.

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13) Complete the following statement: Angle “r” is an angle of ___________ and angle “s” is an angle of _________.

a.) elevation, depression

b.) elevation, elevation

c.) depression, depression

d.) depression, elevation

14) A campsite is 8.6 miles from a point directly below a mountain cliff. If the angle of elevation from the camp to the top of the cliff is 5 degrees, how high is the cliff to the nearest foot (1 mile = 5280 ft)?

a.) 3956 ft

b.) 45,235 ft

c.) 3972 ft

d.) 42,667 ft

15) In circle N, central angle JNK measures 23 degrees. What is the measure of major arc JML?

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16) In circle X shown below, the measurement of arc VU is 21 degrees and the measurement of angle SXT is 46 degrees. (a) What is the measurement of arc ST? (b) What is the measurement of angle SYT?

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17) True or False. If a line is tangent to a circle, it intersects the circle at several points.

True

False

18) For the figure and the information given below, what is the value of “y”?

a.) 18

b.) 9

c.) 3

d.) 15

19) The equation of a circle is shown below. In the coordinate plane, (a) what are the coordinates of the center of the circle and (b) what is the radius of the circle?

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20) The interior angle of a 20-sided regular polygon measures how many degrees?

a.) 160 degrees

b.) 162 degrees

c.) 144 degrees

d.) 150 degrees

21) What is the area of the rhombus?

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22) If the area of a trapezoid is 135 square centimeters and its bases measure 6 centimeters and 12 centimeters, what is the height of the trapezoid?

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23) In the regular pentagon shown below, one side measures 54 centimeters. Find the area of the pentagon, and then answer the following questions about the pentagon: (a) What is the perimeter? (b) What is the measure of one central angle? (c) What is the length of the apothem, “a”, to the nearest tenth of a centimeter? (d) What is the area of the pentagon to the nearest whole square centimeter?

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24) What is the probability of the spinner landing on a number greater than three?

a.) 33%

b.) 40%

c.) 47%

d.) 56%

25) What is the probability that a point chosen at random on segment BH is also a point on segment DG? Express the answer as a percent rounded to the nearest whole percent.

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26) What is true about the network?

a.) The network is incomplete and not traceable.

b.) The network is complete and traceable.

c.) The network is incomplete, but traceable.

d.) The network is complete, but not traceable.

27) If a plane is passed through a cylinder such that the plane is perpendicular to the base of the cylinder, what is the shape of the intersection of the plane and the cylinder?

a.) circle

b.) semi-circle

c.) parallelogram

d.) rectangle

28) A solid and its top, side, and back views are shown below. Which view is not the top, side, or back view of the solid? State the letter of the correct answer.

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29) For the figure shown below, (a) name the type of prism that is represented by the net and (b) calculate the surface area of the prism.

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30) For the figure shown below, (a) name the type of prism and (b) calculate the surface area of the prism.

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31) For the square pyramid shown below, the height of the pyramid is 7.2 inches and the square base has 9-inch edges. (a) What is the slant height? (b) What is the lateral area? Express the answers rounded to the nearest tenth

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32) What is the volume of a right cylinder with a diameter of 25 centimeters and a height of 14 centimeters? Round the answer to the nearest whole cubic centimeter.

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33) If the volume of a cube is 729 cubic meters, what is the length of one edge?

a.) 9 m

b.) 8 m

c.) 11 m

d.) 7 m

34) The height and the radius of a cone equal the same measure and the slant height of the cone is 98 inches. (a) What is the height of the cone? (b) What is the volume of the cone to the nearest cubic inch?

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35) If the radius of a sphere is tripled, how many times greater is its volume?

a.) 3

b.) 6

c.) 9

d.) 27

36) The given equation is in standard form. Write the equation in slope-intercept form, and then (a) state the slope and (b) state the y-intercept. Write the y-intercept as an ordered pair.

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37) For the line that is graphed below, (a) what is the slope, (b) what is the y-intercept, and (c) what is the equation of the line? State the equation in slope-intercept form.

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38) What is the equation of the line shown below?

a.) y = 3

b.) y = –3

c.) x = 3

d.) x = –3

39) In triangle JKL, the coordinates are J(–5, –2), K(–2, 4) and L(3, –1). Point M (–3, 2) is on segment JK. Determine if segment ML is perpendicular to segment JK, and then answer the following questions: (a) What is the slope of segment ML? (b) What is the slope of segment JK? (c) Is segment ML perpendicular to segment JK? Please explain.

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40) Circle A intersects the origin, O(0, 0), and has its center on the y-axis at point A(0, a). Which set of coordinates would not be on the circle?

a.) (–a, a)

b.) (a, a)

c.) (0, 0)

d.) (0, 2a)

e.) (a, 0)

41) Trapezoid ABCD is a reflection of the pre-image shown below. Which statement is NOT true about the reflection?

a.) Point J maps onto point C.

b.) Point K maps onto point B.

c.) Point M maps onto point A.

d.) Point M maps onto point D.

42) Compare the lengths of the pre-image (larger picture) and its dilation (smaller picture). What is the scale factor? State the letter of the correct answer.

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43) Find the locus of points that satisfies both equations. State the answer as an ordered pair.

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44) Which graph represents the locus of points that satisfies both inequalities? State the letter of the correct answer.

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45) Five students are competing in a spelling bee for first, second, and third places. How many different outcomes are possible?

a.) 125

b.) 10

c.) 60

d.) 20

46) Five students are competing for three openings on the Scholastic Challenge Team. How many different outcomes are possible?

a.) 125

b.) 10

c.) 60

d.) 20

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