Name: ________________________ Class: ___________________ Date: __________ ID: A

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Math Course 8 Semester Review

____ 1. Find the two square roots of 121.

a. 60, –61 b. 11, –11 c. 11, − 111

d. 11, 111

____ 2. Estimate the value of 43 to the nearest integer.a. –7 b. 6 c. –6 d. 7

____ 3. When a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d = 16t2 . The formula assumes that there is no air resistance. Find the time it takes a skydiver to fall 1,551 ft before opening the parachute. Round to the nearest tenth.a. 9.7 s b. 9.8 s c. 9.9 s d. 2.5 s

____ 4. The formula v = 64h can be used to find the velocity, v, in feet per second, of an object that has fallen h feet. Find the velocity of an object that has fallen 75 feet. Round to the nearest tenth.a. 6.9 ft/s b. 69.2 ft/s c. 69.4 ft/s d. 69.3 ft/s

Identify the number as rational or irrational.

____ 5. 1.875a. rational b. irrational

____ 6. 112a. rational b. irrational

____ 7. Which set of numbers does NOT contain an irrational number?

a. − 5 , − 195 , –8.15 c. –0.6868..., −23

8, 10

b. − 49 , − 1.44 , 6.6 d.5

6, –1, 11

____ 8. Find the length of the hypotenuse of a right triangle with legs of 20 cm and 21 cm.a. 41 cm b. 841 cm c. 6 cm d. 29 cm

____ 9. The length of the hypotenuse of a right triangle is 15 m. The length of one leg is 9 cm. Find the length of the other leg.a. 6 cm b. 12 cm c. 17 cm d. 144 cm

____ 10. Find the length of the right triangle’s other leg. Round to the nearest tenth.leg = 10 fthypotenuse = 12 fta. 6.6 ft b. 15.6 ft c. 43.6 ft d. 2 ft

____ 11. Find the perimeter of a right triangle with legs of 20 cm and 21 cm.a. 882 cm b. 82 cm c. 70 cm d. 47 cm

Name: ________________________ ID: A

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____ 12. Craig used the diagram to compute the distance from Ferris to Dunlap to Butte. How much shorter is the distance directly from Ferris to Butte than the distance Craig found?

a. 14 mi b. 28 mi c. 70 mi d. 98 mi

____ 13. Name the coordinates of point A in the graph.

a. (3, –5) b. (–3, –5) c. (–5, 3) d. (–3, 5)

Name: ________________________ ID: A

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____ 14. Graph A(–3, 2), B(1, –5), and C(5, –1) on the same coordinate plane.a. c.

b. d.

____ 15. Name the point with the coordinates (–3, 3).

a. S b. K c. N d. D

____ 16. In which quadrant is the point (x, y) located if x is positive and y is positive?a. IV b. I c. III d. II

Name: ________________________ ID: A

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____ 17. What are the coordinates of the point 4 to the left and 5 above the point (1, 0)?a. (5, –5) b. (5, 5) c. (–3, 5) d. (5, –3)

____ 18. Graph C(2, –1). Translate the point right 2 units and up 4 units. Graph the image point C ʹ′.

a. c.

b. d.

____ 19. Translate P(1, –2) right 2 units and up 1 unit. Give the coordinate of the image point.a. (3, –1) b. (–1, 3) c. (–3, –1) d. (–1, –3)

Name: ________________________ ID: A

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____ 20. Rectangle ABCD has vertices A(–4, –3), B(–4, –2), C(–1, –2), and D(–1, –3). Graph ABCD and its translation 5 units to the right and 3 units up.a. c.

b. d.

____ 21. Use arrow notation to write a rule that describes the translation of a point from (–4, –2) to (–1, –1).a. (x, y) → (x + 3, y − 1) c. (x, y) → (x − 3, y + 1)b. (x, y) → (x + 3, y + 1) d. (x, y) → (x − 3, y − 1)

____ 22. At the half-time show, a marching band marched in formation. The lead drummer started at a point with coordinates (3, 4) and moved 3 steps down and 4 steps left.a. Write a rule to describe the translation.b. What were the coordinates of the drummer’s final position?

a. (x, y) → (x − 4, y − 3); (−1, 1) c. (x, y) → (x − 4, y + 3); (−1, 1)b. (x, y) → (x + 4, y + 3); (7, 7) d. (x, y) → (x + 4, y − 3); (7, 1)

Name: ________________________ ID: A

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____ 23. ΔPQR has vertices P(1, –2), Q(7, –3), and R(–3, –8). The triangle is translated left 6 units and down 3 units. Without graphing, find the coordinates of P ʹ′, Q ʹ′, and R ʹ′.a. P ʹ′(–5, 1), Q ʹ′(1, 0), R ʹ′(–9, –5)b. P ʹ′(7, –5), Q ʹ′(13, –6), R ʹ′(3, –11)c. P ʹ′(–5, –5), Q ʹ′(1, –6), R ʹ′(–9, –11)d. P ʹ′(7, 1), Q ʹ′(13, 0), R ʹ′(3, –5)

____ 24. Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of one star are (–2, 1). The star is translated up 5 units. What are its new coordinates?a. (–2, 6) b. (–7, 1) c. (3, 1) d. (–2, –4)

____ 25. Which translation below is NOT described by the rule (x, y) → (x + 2, y − 3)?a. (3, –2) → (5, –5) c. (0, 4) → (2, 1)b. (–4, 1) → (–2, –2) d. (1, –5) → (3, –2)

____ 26. Use arrow notation to write a rule that describes the translation shown on the graph.

a. (x, y) → (x + 3, y − 4) c. (x, y) → (x − 3, y − 4)b. (x, y) → (x + 3, y + 4) d. (x, y) → (x − 3, y + 4)

____ 27. Point A(8, –4) is reflected over the x-axis. Write the coordinates of A ʹ′.a. (–8, 4) b. (–8, –4) c. (8, –4) d. (8, 4)

Name: ________________________ ID: A

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____ 28. ΔABC has vertices A(0, 2), B(4, 3), and C(2, 6). Graph ΔABC and its image after a reflection over the line through (–3, –2) and (–3, 2). Name the coordinates of the vertices of the reflected triangle.

Name: ________________________ ID: A

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a.

A ʹ′(–6, 2), B ʹ′(–10, 3), C ʹ′(–8, 6)b.

A ʹ′(–4, 2), B ʹ′(–8, 3), C ʹ′(–6, 6)c.

A ʹ′(–2, 0), B ʹ′(–3, –4), C ʹ′(–6, –2)

Name: ________________________ ID: A

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d.

A ʹ′(0, –6), B ʹ′(4, –7), C ʹ′(2, –10)

Name: ________________________ ID: A

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____ 29. Copy ΔDFH. Draw the image of ΔDFH after a rotation of 180º about the origin.

a. c.

b. d.

Name: ________________________ ID: A

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____ 30. Which angles are adjacent angles?

a. ∠KZQ and ∠OZK c. ∠XZO and ∠OZKb. ∠RZX and ∠OZK d. ∠GZR and ∠OZK

____ 31. The measure of ∠4 is 125º. Find the measure of ∠1.

a. 50º b. 130º c. 125º d. 55º

____ 32. Select the measure of the complement or supplement of the angle. If there is no complement or supplement, select no complement or supplement.

55.1º

a. 124.9° c. 49.9°b. 119.9° d. no complement or supplement

____ 33. Find the measure of ∠s.

a. 63° b. 153° c. 68° d. 148°

Name: ________________________ ID: A

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____ 34. Identify the pair of angles as corresponding, alternate interior, both, or neither.

∠6, ∠2

a. alternate interior c. correspondingb. neither d. both

____ 35. How many pairs of corresponding angles are formed by a transversal intersecting two lines?a. 8 b. 4 c. 2 d. 6

____ 36. In the diagram, p || q. Find the measure of each numbered angle.

a. m∠1 = m∠2 = m∠5 = 135ºm∠3 = m∠4 = m∠6 = m∠7 = 35º

b. m∠1 = m∠2 = m∠5 = 35ºm∠3 = m∠4 = m∠6 = m∠7 = 145º

c. m∠1 = m∠2 = m∠5 = 145ºm∠3 = m∠4 = m∠6 = m∠7 =35º

d. m∠1 = m∠2 = m∠5 = 145ºm∠3 = m∠4 = m∠6 = m∠7 = 30º

____ 37. If a and b are parallel lines and m∠3 = 128º, what is the measure of ∠8?

a. 134º b. 52º c. 54º d. 49º

Name: ________________________ ID: A

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____ 38. Is line l parallel to line m? Explain.

Not drawn to scale

a. No; alternate interior angles are not congruent.b. Yes; alternate interior angles are congruent.c. No; corresponding angles are not congruent.d. Yes; corresponding angles are congruent.

____ 39. What pair of lines is parallel if ∠1 ≅ ∠13?

a. Lines b and d are parallel.b. Lines a and b are parallel.c. Lines a and c are parallel.d. Lines c and d are parallel.

____ 40. Name the solid according to its description:The figure has one base that is a rectangle and four lateral surfaces that are triangles.a. square pyramid c. rectangular prismb. cone d. rectangular pyramid

____ 41. A solid with two parallel and congruent bases cannot be which of the following?a. cone b. prism c. cylinder d. cube

Name: ________________________ ID: A

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Use a formula to find the surface area of the figure.

____ 42.

a. 287 in.2 b. 574 in.2 c. 30 in.2 d. 858 in.2

____ 43.

a. 2,600 yd2 b. 2,700 yd2 c. 2,750 yd2 d. 1,800 yd2

____ 44.

a. 2,520 cm2 b. 2,792 cm2 c. 4,080 cm2 d. 2,280 cm2

____ 45. a sphere with a radius of 5 cma. 314 cm2 b. 1,257 cm2 c. 79 cm2 d. 524 cm2

Name: ________________________ ID: A

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____ 46. Use a formula to find the surface area of the cylinder to the nearest whole unit.

a. about 1,206 ft2 c. about 1,960 ft2

b. about 2,413 ft2 d. about 1,659 ft2

____ 47. Use a formula to find the surface area of the square pyramid.

a. 45 ft2 b. 81 ft2 c. 36 ft2 d. 72 ft2

Find the surface area of the solid. Round to the nearest whole unit, if necessary.

____ 48. a square pyramid with a base edge length of 15 m and a slant height of 36 m

a. 1,305 m 2 b. 2,385 m 2 c. 2,160 m 2 d. 1,080 m 2

Name: ________________________ ID: A

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____ 49.

a. 226 in.2 b. 88 in.2 c. 377 in.2 d. 138 in.2

____ 50.

a. 254 yd2 b. 792 yd2 c. 1,329 yd2 d. 537 yd2

____ 51. The volume of the cylinder is 1,311.9 in.3 . Find the height of the cylinder to the nearest tenth of an inch.

a. 9.1 in. b. 109.3 in. c. 2.9 in. d. 17.4 in.

Name: ________________________ ID: A

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____ 52. The volume of the cone is 425 m 3 . Find the radius of the base of the cone to the nearest whole unit.

a. 2 m b. 23 m c. 16 m d. 9 m

Find the volume of the solid to the nearest unit.

____ 53.

a. 546 ft3 b. 1092 ft3 c. 273 ft3 d. 422 ft3

____ 54.

a. 23 in.3 b. 297 in.3 c. 318 in.3 d. 159 in.3

Name: ________________________ ID: A

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____ 55.

a. 864 ft3 b. 432 ft3 c. 216 ft3 d. 492 ft3

____ 56.

a. 77 cm3 b. 594 cm3 c. 153 cm3 d. 75 cm3

____ 57.

a. 4,700 m3 b. 24,514 m3 c. 49,028 m3 d. 98,055 m3

Name: ________________________ ID: A

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____ 58.

a. 147 yd3 b. 175 yd3 c. 221 yd3 d. 441 yd3

____ 59.

a. 320 in.3 b. 1,244 in.3 c. 415 in.3 d. 622 in.3

60. Is the triangle with sides 1.7 in., 1.1 in., and 2 in. a right triangle? Explain.

Find the measure of each numbered angle.

61.

Not drawn to scale

ID: A

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Math Course 8 Semester ReviewAnswer Section

1. ANS: B PTS: 1 DIF: L2 REF: 3-1 Exploring Square Roots and Irrational Numbers OBJ: 3-1.1 Finding Square Roots of Numbers NAT: NAEP N2dSTA: 8MI N.ME.08.01a| 8MI N.ME.08.04a| 8MI N.FL.08.05| 8MI N.FL.08.06| 8MI A.FO.08.09TOP: 3-1 Example 1 KEY: perfect square | square rootDOK: DOK 1

2. ANS: D PTS: 1 DIF: L2 REF: 3-1 Exploring Square Roots and Irrational Numbers OBJ: 3-1.1 Finding Square Roots of Numbers NAT: NAEP N2dSTA: 8MI N.ME.08.01a| 8MI N.ME.08.04a| 8MI N.FL.08.05| 8MI N.FL.08.06| 8MI A.FO.08.09TOP: 3-1 Example 2 KEY: square root | estimationDOK: DOK 1

3. ANS: B PTS: 1 DIF: L2 REF: 3-1 Exploring Square Roots and Irrational Numbers OBJ: 3-1.1 Finding Square Roots of Numbers NAT: NAEP N2dSTA: 8MI N.ME.08.01a| 8MI N.ME.08.04a| 8MI N.FL.08.05| 8MI N.FL.08.06| 8MI A.FO.08.09TOP: 3-1 Example 3 KEY: square root | estimation | word problemDOK: DOK 1

4. ANS: D PTS: 1 DIF: L2 REF: 3-1 Exploring Square Roots and Irrational Numbers OBJ: 3-1.1 Finding Square Roots of Numbers NAT: NAEP N2dSTA: 8MI N.ME.08.01a| 8MI N.ME.08.04a| 8MI N.FL.08.05| 8MI N.FL.08.06| 8MI A.FO.08.09TOP: 3-1 Example 3 KEY: square root | estimation | word problemDOK: DOK 1

5. ANS: A PTS: 1 DIF: L2 REF: 3-1 Exploring Square Roots and Irrational Numbers OBJ: 3-1.2 Exploring Real NumbersNAT: NAEP N2d STA: 8MI N.ME.08.01a| 8MI N.ME.08.04a| 8MI N.FL.08.05| 8MI N.FL.08.06| 8MI A.FO.08.09TOP: 3-1 Example 4 KEY: irrational number | real number | rational numberDOK: DOK 1

6. ANS: B PTS: 1 DIF: L2 REF: 3-1 Exploring Square Roots and Irrational Numbers OBJ: 3-1.2 Exploring Real NumbersNAT: NAEP N2d STA: 8MI N.ME.08.01a| 8MI N.ME.08.04a| 8MI N.FL.08.05| 8MI N.FL.08.06| 8MI A.FO.08.09TOP: 3-1 Example 4 KEY: irrational number | real number | rational numberDOK: DOK 1

7. ANS: B PTS: 1 DIF: L3 REF: 3-1 Exploring Square Roots and Irrational Numbers OBJ: 3-1.2 Exploring Real NumbersNAT: NAEP N2d STA: 8MI N.ME.08.01a| 8MI N.ME.08.04a| 8MI N.FL.08.05| 8MI N.FL.08.06| 8MI A.FO.08.09TOP: 3-1 Example 4 KEY: irrational number | real number | rational numberDOK: DOK 1

ID: A

2

8. ANS: D PTS: 1 DIF: L2 REF: 3-2 The Pythagorean TheoremOBJ: 3-2.1 The Pythagorean Theorem NAT: NAEP G3d STA: 8MI N.FL.08.05| 8MI G.GS.08.01b TOP: 3-2 Example 1KEY: leg | hypotenuse | Pythagorean Theorem DOK: DOK 1

9. ANS: B PTS: 1 DIF: L2 REF: 3-3 Using the Pythagorean Theorem OBJ: 3-3.1 Using the Pythagorean Theorem NAT: NAEP G3dSTA: 8MI N.FL.08.05| 8MI G.GS.08.01b TOP: 3-3 Example 1KEY: leg | hypotenuse | Pythagorean Theorem DOK: DOK 1

10. ANS: A PTS: 1 DIF: L3 REF: 3-3 Using the Pythagorean Theorem OBJ: 3-3.1 Using the Pythagorean Theorem NAT: NAEP G3dSTA: 8MI N.FL.08.05| 8MI G.GS.08.01b TOP: 3-3 Example 1KEY: leg | hypotenuse | Pythagorean Theorem DOK: DOK 1

11. ANS: C PTS: 1 DIF: L3 REF: 3-2 The Pythagorean TheoremOBJ: 3-2.1 The Pythagorean Theorem NAT: NAEP G3d STA: 8MI N.FL.08.05| 8MI G.GS.08.01b TOP: 3-2 Example 1KEY: leg | hypotenuse | Pythagorean Theorem | perimeter DOK: DOK 1

12. ANS: B PTS: 1 DIF: L3 REF: 3-4 Graphing in the Coordinate Plane OBJ: 3-4.1 Identifying and Graphing Points in a Coordinate Plane NAT: NAEP A2c STA: 8MI A.PA.08.03 TOP: 3-4 Example 2KEY: leg | hypotenuse | Pythagorean Theorem | word problem | problem solvingDOK: DOK 1

13. ANS: A PTS: 1 DIF: L2 REF: 3-4 Graphing in the Coordinate Plane OBJ: 3-4.1 Identifying and Graphing Points in a Coordinate Plane NAT: NAEP A2c STA: 8MI A.PA.08.03 KEY: coordinate plane | x-axis | y-axis | quadrants | origin | ordered pair | x-coordinate | y-coordinateDOK: DOK 1

14. ANS: A PTS: 1 DIF: L2 REF: 3-4 Graphing in the Coordinate Plane OBJ: 3-4.1 Identifying and Graphing Points in a Coordinate Plane NAT: NAEP A2c STA: 8MI A.PA.08.03 TOP: 3-4 Example 1KEY: coordinate plane | x-axis | y-axis | quadrants | origin | ordered pair | x-coordinate | y-coordinateDOK: DOK 1

15. ANS: B PTS: 1 DIF: L2 REF: 3-4 Graphing in the Coordinate Plane OBJ: 3-4.1 Identifying and Graphing Points in a Coordinate Plane NAT: NAEP A2c STA: 8MI A.PA.08.03 TOP: 3-4 Example 2KEY: coordinate plane | x-axis | y-axis | quadrants | origin | ordered pair | x-coordinate | y-coordinateDOK: DOK 1

16. ANS: B PTS: 1 DIF: L3 REF: 3-4 Graphing in the Coordinate Plane OBJ: 3-4.1 Identifying and Graphing Points in a Coordinate Plane NAT: NAEP A2c STA: 8MI A.PA.08.03 KEY: coordinate plane | ordered pair | origin | quadrants | x-axis | x-coordinate | y-axis | y-coordinateDOK: DOK 2

ID: A

3

17. ANS: C PTS: 1 DIF: L3 REF: 3-4 Graphing in the Coordinate Plane OBJ: 3-4.1 Identifying and Graphing Points in a Coordinate Plane NAT: NAEP A2c STA: 8MI A.PA.08.03 KEY: coordinate plane | ordered pair | origin | quadrants | x-axis | x-coordinate | y-axis | y-coordinateDOK: DOK 1

18. ANS: B PTS: 1 DIF: L2 REF: 3-6 TranslationsOBJ: 3-6.1 Graphing Translations KEY: transformation | translation | image | translating a pointDOK: DOK 1

19. ANS: A PTS: 1 DIF: L2 REF: 3-6 TranslationsOBJ: 3-6.1 Graphing Translations KEY: transformation | translation | image | translating a pointDOK: DOK 1

20. ANS: B PTS: 1 DIF: L2 REF: 3-6 TranslationsOBJ: 3-6.1 Graphing Translations TOP: 3-6 Example 1 KEY: transformation | translation | image | translating a figure DOK: DOK 1

21. ANS: B PTS: 1 DIF: L2 REF: 3-6 TranslationsOBJ: 3-6.2 Describing Translations TOP: 3-6 Example 2 KEY: transformation | translation | image DOK: DOK 1

22. ANS: A PTS: 1 DIF: L3 REF: 3-6 TranslationsOBJ: 3-6.2 Describing Translations TOP: 3-6 Example 2 KEY: transformation | translation | image | multi-part question | word problemDOK: DOK 1

23. ANS: C PTS: 1 DIF: L3 REF: 3-6 TranslationsOBJ: 3-6.2 Describing Translations TOP: 3-6 Example 2 KEY: transformation | translating a figure | translation DOK: DOK 1

24. ANS: A PTS: 1 DIF: L3 REF: 3-6 TranslationsOBJ: 3-6.1 Graphing Translations KEY: translation | transformation | translating a point | imageDOK: DOK 1

25. ANS: D PTS: 1 DIF: L3 REF: 3-6 TranslationsOBJ: 3-6.2 Describing Translations TOP: 3-6 Example 2 KEY: translation DOK: DOK 1

26. ANS: A PTS: 1 DIF: L2 REF: 3-6 TranslationsOBJ: 3-6.2 Describing Translations TOP: 3-6 Example 2 KEY: transformation | translation DOK: DOK 1

27. ANS: D PTS: 1 DIF: L2 REF: 3-7 Reflections and SymmetryOBJ: 3-7.1 Graphing Reflections STA: 8MI G.TR.08.10 TOP: 3-7 Example 1 KEY: reflection | line of reflectionDOK: DOK 1

28. ANS: A PTS: 1 DIF: L2 REF: 3-7 Reflections and SymmetryOBJ: 3-7.1 Graphing Reflections STA: 8MI G.TR.08.10 TOP: 3-7 Example 2 KEY: line of reflection | reflection | multi-part questionDOK: DOK 2

29. ANS: D PTS: 1 DIF: L3 REF: 3-8 RotationsOBJ: 3-8.1 Graphing Rotations STA: 8MI G.TR.08.10 TOP: 3-8 Example 2 KEY: angle of rotation | center of rotation | rotationDOK: DOK 1

ID: A

4

30. ANS: A PTS: 1 DIF: L2 REF: 7-1 Pairs of AnglesOBJ: 7-1.1 Using Adjacent Angles and Vertical Angles NAT: NAEP G3gSTA: 8MI A.FO.08.07d TOP: 7-1 Example 1 KEY: adjacent angles | vertical angles DOK: DOK 1

31. ANS: D PTS: 1 DIF: L2 REF: 7-1 Pairs of AnglesOBJ: 7-1.2 Using Supplementary Angles and Complementary Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 2KEY: adjacent angles | vertical angles | complementary angles | supplementary anglesDOK: DOK 1

32. ANS: A PTS: 1 DIF: L2 REF: 7-1 Pairs of AnglesOBJ: 7-1.2 Using Supplementary Angles and Complementary Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 3KEY: complement | complementary angles | supplement | supplementary anglesDOK: DOK 1

33. ANS: A PTS: 1 DIF: L3 REF: 7-1 Pairs of AnglesOBJ: 7-1.2 Using Supplementary Angles and Complementary Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d KEY: complementary angles | supplementary angles | complement | supplementDOK: DOK 1

34. ANS: C PTS: 1 DIF: L2 REF: 7-2 Angles and Parallel LinesOBJ: 7-2.1 Angles Formed by Parallel Lines NAT: NAEP G3gSTA: 8MI A.FO.08.07d TOP: 7-2 Example 1 KEY: corresponding angles | alternate interior angles DOK: DOK 1

35. ANS: B PTS: 1 DIF: L3 REF: 7-2 Angles and Parallel LinesOBJ: 7-2.1 Angles Formed by Parallel Lines NAT: NAEP G3gSTA: 8MI A.FO.08.07d TOP: 7-2 Example 1 KEY: transversal | corresponding angles DOK: DOK 2

36. ANS: C PTS: 1 DIF: L2 REF: 7-2 Angles and Parallel LinesOBJ: 7-2.1 Angles Formed by Parallel Lines NAT: NAEP G3gSTA: 8MI A.FO.08.07d TOP: 7-2 Example 2 KEY: alternate interior angles | corresponding angles DOK: DOK 1

37. ANS: B PTS: 1 DIF: L3 REF: 7-2 Angles and Parallel LinesOBJ: 7-2.1 Angles Formed by Parallel Lines NAT: NAEP G3gSTA: 8MI A.FO.08.07d TOP: 7-2 Example 2 KEY: alternate interior angles | corresponding angles DOK: DOK 1

38. ANS: C PTS: 1 DIF: L3 REF: 7-2 Angles and Parallel LinesOBJ: 7-2.2 Identifying Parallel Lines NAT: NAEP G3g STA: 8MI A.FO.08.07dTOP: 7-2 Example 3 KEY: parallel lines | alternate interior angles | corresponding angles DOK: DOK 2

39. ANS: B PTS: 1 DIF: L2 REF: 7-2 Angles and Parallel LinesOBJ: 7-2.2 Identifying Parallel Lines NAT: NAEP G3g STA: 8MI A.FO.08.07dTOP: 7-2 Example 3 KEY: parallel lines | alternate interior angles | corresponding angles DOK: DOK 2

ID: A

5

40. ANS: D PTS: 1 DIF: L3 REF: 8-1 SolidsOBJ: 8-1.1 Naming Solids NAT: NAEP G1c| NAEP G1fSTA: 8MI A.FO.08.07d TOP: 8-1 Example 1 KEY: naming solids | solids | prism | pyramid | cylinder | cone DOK: DOK 1

41. ANS: A PTS: 1 DIF: L3 REF: 8-1 SolidsOBJ: 8-1.1 Naming Solids NAT: NAEP G1c| NAEP G1fSTA: 8MI A.FO.08.07d TOP: 8-1 Example 1 KEY: naming solids | cone DOK: DOK 1

42. ANS: B PTS: 1 DIF: L2 REF: 8-4 Surface Areas of Prisms and Cylinders OBJ: 8-4.1 Finding Surface Areas of Prisms NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-4 Example 2 KEY: surface area | prism DOK: DOK 1

43. ANS: B PTS: 1 DIF: L2 REF: 8-4 Surface Areas of Prisms and Cylinders OBJ: 8-4.1 Finding Surface Areas of Prisms NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-4 Example 2 KEY: surface area | prism DOK: DOK 1

44. ANS: D PTS: 1 DIF: L2 REF: 8-4 Surface Areas of Prisms and Cylinders OBJ: 8-4.1 Finding Surface Areas of Prisms NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-4 Example 2 KEY: surface area | prism DOK: DOK 1

45. ANS: A PTS: 1 DIF: L2 REF: 8-8 SpheresOBJ: 8-8.1 Surface Area and Volume of a Sphere STA: 8MI A.PA.08.03| 8MI G.SR.08.06| 8MI G.SR.08.07 TOP: 8-8 Example 1

46. ANS: B PTS: 1 DIF: L2 REF: 8-4 Surface Areas of Prisms and Cylinders OBJ: 8-4.2 Finding Surface Areas of Cylinders NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-4 Example 3 KEY: surface area | cylinderDOK: DOK 1

47. ANS: A PTS: 1 DIF: L2 REF: 8-5 Surface Areas of Pyramids and Cones OBJ: 8-5.1 Finding Surface Areas of Pyramids NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-5 Example 3 KEY: surface area | pyramidDOK: DOK 1

48. ANS: A PTS: 1 DIF: L3 REF: 8-5 Surface Areas of Pyramids and Cones OBJ: 8-5.1 Finding Surface Areas of Pyramids NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-5 Example 3 KEY: surface area | pyramid | slant heightDOK: DOK 1

ID: A

6

49. ANS: D PTS: 1 DIF: L3 REF: 8-5 Surface Areas of Pyramids and Cones OBJ: 8-5.2 Finding Surface Areas of Cones NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-5 Example 4 KEY: surface area | cone DOK: DOK 1

50. ANS: B PTS: 1 DIF: L2 REF: 8-5 Surface Areas of Pyramids and Cones OBJ: 8-5.2 Finding Surface Areas of Cones NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.07| 8MI G.SR.08.08a| 8MI G.SR.08.08bTOP: 8-5 Example 4 KEY: surface area | cone DOK: DOK 1

51. ANS: C PTS: 1 DIF: L3 REF: 8-6 Volumes of Prisms and Cylinders OBJ: 8-6.2 Finding Volumes of Cylinders NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-6 Example 2KEY: volume | cylinder DOK: DOK 1

52. ANS: D PTS: 1 DIF: L3 REF: 8-7 Volumes of Pyramids and Cones OBJ: 8-7.2 Finding Volumes of ConesNAT: NAEP M1j STA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-7 Example 3 KEY: volume | cone DOK: DOK 1

53. ANS: C PTS: 1 DIF: L2 REF: 8-6 Volumes of Prisms and Cylinders OBJ: 8-6.1 Finding Volumes of PrismsNAT: NAEP M1j STA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-6 Example 1 KEY: volume | prism DOK: DOK 1

54. ANS: B PTS: 1 DIF: L2 REF: 8-6 Volumes of Prisms and Cylinders OBJ: 8-6.1 Finding Volumes of PrismsNAT: NAEP M1j STA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-6 Example 1 KEY: volume | prism DOK: DOK 1

55. ANS: C PTS: 1 DIF: L2 REF: 8-6 Volumes of Prisms and Cylinders OBJ: 8-6.1 Finding Volumes of PrismsNAT: NAEP M1j STA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-6 Example 1 KEY: volume | prism DOK: DOK 1

56. ANS: A PTS: 1 DIF: L2 REF: 8-6 Volumes of Prisms and Cylinders OBJ: 8-6.1 Finding Volumes of PrismsNAT: NAEP M1j STA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-6 Example 1 KEY: volume | prism DOK: DOK 1

57. ANS: B PTS: 1 DIF: L2 REF: 8-6 Volumes of Prisms and Cylinders OBJ: 8-6.2 Finding Volumes of Cylinders NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-6 Example 2KEY: volume | cylinder DOK: DOK 1

ID: A

7

58. ANS: A PTS: 1 DIF: L2 REF: 8-7 Volumes of Pyramids and Cones OBJ: 8-7.1 Finding Volumes of Pyramids NAT: NAEP M1jSTA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-7 Example 1KEY: volume | pyramid DOK: DOK 1

59. ANS: C PTS: 1 DIF: L2 REF: 8-7 Volumes of Pyramids and Cones OBJ: 8-7.2 Finding Volumes of ConesNAT: NAEP M1j STA: 8MI A.PA.08.03| 8MI G.SR.08.06 TOP: 8-7 Example 2 KEY: volume | cone DOK: DOK 1

60. ANS: no;

1.72 + 1.12 ≠ 2 2

2.89 + 1.21 ≠ 44.1 ≠ 4

PTS: 1 DIF: L2 REF: 3-3 Using the Pythagorean TheoremOBJ: 3-3.1 Using the Pythagorean Theorem NAT: NAEP G3dSTA: 8MI N.FL.08.05| 8MI G.GS.08.01b KEY: leg | hypotenuse | right triangle | Pythagorean Theorem DOK: DOK 1

61. ANS: m∠1 = 60º, m∠2 = 30º, m∠3 = 150º

PTS: 1 DIF: L3 REF: 7-1 Pairs of Angles OBJ: 7-1.2 Using Supplementary Angles and Complementary Angles NAT: NAEP G3g STA: 8MI A.FO.08.07d TOP: 7-1 Example 3KEY: adjacent angles | vertical angles | complementary angles | supplementary anglesDOK: DOK 1