Indicate the answer choice that best completes the statement or answers the question. Find the volume of the solid.

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Indicate the answer choice that best completes the statement or answers the question. Find the volume of the solid. A. 252.4 cm 3 B. 126.2 cm 3 C. 492.2 cm 3 D. 703.8 cm 3 F. 576 G. 288 H. 240 I. 336 Powered by Cognero Page 1

A. 140 km 3 B. 112 km 3 C. 420 km 3 D. 155.7 km 3 F. 24 ft 3 G. 294 ft 3 H. 147 ft 3 I. 686 ft 3 Powered by Cognero Page 2

In the figure, bisects. If m FGK = 5w + 7 and m FGH = 114, find w. A. 10 B. 21.40 C. 57 D. 5 Find the surface area of the solid. F. 664 yd 2 G. 796 yd 2 H. 332 yd 2 I. 128 yd 2 Make a conjecture about the next item in the sequence. 1, 8, 17, 26, A. -44 B. -53 C. -35 D. 43 Powered by Cognero Page 3

Of the 53 students in performing arts programs at Milford Middle School, 24 sing in the choir only, 6 play in the school band only, and 23 participate in both programs. Which Venn diagram correctly shows this situation? F. G. H. I. Write the inverse of the conditional statement. Determine whether the inverse is true or false. If it is false, find a counterexample. An equilateral triangle has three congruent sides. A. A non-equilateral triangle has three congruent sides. False; an isosceles triangle has two congruent sides. C. A non-equilateral triangle does not have three congruent sides. True B. A figure that has three non-congruent sides is not an equilateral triangle. True D. A figure with three congruent sides is an equilateral triangle. True Powered by Cognero Page 4

Refer to the figure below. Name all segments parallel to. F. G. H. I. Name all segments skew to. A. B. C. D. In the figure, and. Find the measure of angle XZT. F. 75 G. 85 H. 95 I. 65 Powered by Cognero Page 5

In the figure,. Find x and y. A. B. C. D. In the figure,. Find. F. G. H. I. Determine whether and are parallel, perpendicular, or neither. W(3, 5), X(1, 3) Y(5, 1), Z(7, 5) A. perpendicular B. neither C. parallel Powered by Cognero Page 6

Write an equation in point-slope form of the line having the given slope that contains the given point. F. G. H. I. Classify the triangle by its sides. Choose the best answer. A. acute B. isosceles C. equilateral D. scalene Use the distance formula to find the measures of the sides of and classify the triangle by its sides. A(2, 3) B(1, -1) C(3, -1) F. isosceles G. equilateral H. obtuse I. scalene Find each measure. A. B. C. D. Powered by Cognero Page 7

F. G. H. I. Name the congruent angles and sides for the pair of congruent triangles. GHK XZT A. G T, H Z, K X, segment GH segment TZ, segment HK segment ZX, segment GK segment TX C. G T, H X, K Z, segment GH segment TX, segment HK segment XZ, segment GK segment TZ B. G Z, H T, K X, segment GH segment ZT, segment HK segment TX, segment GK segment ZX D. G X, H Z, K T, segment GH segment XZ, segment HK segment ZT, segment GK segment XT Identify the congruent triangles in the figure. F. G. H. I. Powered by Cognero Page 8

Lines s, t, and u are perpendicular bisectors of the sides of and meet at J. If,, and, find x, y, and z. A. x = 1, y = 2, z = 7 B. x = 2, y = 1, z = 4 C. x = 0, y = 3, z = 4 D. x = 2, y = 1, z = 7 If m CAD = 28, CD = 9, and BC = 9, find m CAB. F. 28 G. 56 H. 62 I. 14 Powered by Cognero Page 9

P is the incenter of ΔXYZ. If PY = 5 and JY = 4, find LP. A. 9 B. 4 C. 5 D. 3 In ΔABC shown below, if AG = 8 what is FG? F. 16 G. 8 H. 24 I. 4 is an altitude, m (3x + 54), and m (9x). Find. A. 3 B. 18 C. 27 D. 63 Powered by Cognero Page 10

Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain. 8.9, 14.2, 17.5 F. Yes; the 3rd side is the longest side. G. No; the 3rd side is not greater than the difference of two sides. H. True; the length of the 3rd side is between the sum and the difference of the other two sides. I. False; the sum of two sides is not greater than the 3rd side An isosceles triangle has a base 8.8 units long. If the congruent side lengths have measures to the first decimal place, what is the shortest possible length of the sides? A. 17.7 B. 4.5 C. 4.3 D. 8.9 In the figure below, AD = 11.5 and BC = 11. Compare m ABD and m BDC. F. m ABD < m BDC G. m ABD > m BDC H. m ABD = m BDC Powered by Cognero Page 11

Answer Key C G A G A F C H C G D H C H B G B F C I D I Powered by Cognero Page 12

A F D F C H B G Powered by Cognero Page 13

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