Name: Class: Date: ID: A - Farmington High Schoolfhs.fms.k12.nm.us/teachers/Dbarthelmeh/Geometry Spring...47. For parallelogram PQRS, find the values of x and y. Then find PT, TR,

Name: ______________________ Class: _________________ Date: _________ ID: A

1

Geometry Spring Final Exam Review

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

1. Which figure can be used to make a pure tessellation?A. B. C. D.

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

2.

A. 19.34 B. 10.49 C. 110 D. 9.22

Short Answer

The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

3. Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in.2 and 50 in.2 .

4. Two trapezoids have areas 432 cm2 and 48 cm2 . Find their ratio of similarity.

Name: ______________________ ID: A

2

5. The area of the larger triangle is 1589 ft2 .

6. The radius of circle O is 18, and OC = 13. Find AB. Round to the nearest tenth, if necessary. (The figure is not drawn to scale.)

Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

7.

Name: ______________________ ID: A

3

8.

9. FG ⊥ OP, RS ⊥ OQ, FG = 40, RS = 37, OP = 19

10. The figure consists of a chord, a secant and a tangent to the circle. Round to the nearest hundredth, if necessary.

Name: ______________________ ID: A

4

11. AB = 20, BC = 6, and CD = 8

12.

13. m(arc DE) = 96 and m(arc BC) = 67. Find m∠A. (The figure is not drawn to scale.)

Name: ______________________ ID: A

5

14. Find the values of the variables and the lengths of the sides of this kite.

15. DEFG is a rectangle. DF = 5x – 5 and EG = x + 11. Find the value of x and the length of each diagonal.

The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

16.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not drawn to scale.)

17. m∠O = 111

Name: ______________________ ID: A

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18. m∠P = 12

In the diagram, the dashed figure is the image of the solid figure.

19. Name the image of DE. 20. Name the image of ∠E.

21. BC is tangent to circle A at B and to circle D at C (not drawn to scale). AB = 7, BC = 18, and DC = 5. Find AD to the nearest tenth.

Name: ______________________ ID: A

7

Find the volume of the given prism. Round to the nearest tenth if necessary.

22.

23.

24. Find the value of x for m(arc AB) = 46 and m(arc CD) = 25. (The figure is not drawn to scale.)

Name: ______________________ ID: A

8

The hexagon GIKMPR and ΔFJN are regular. The dashed line segments form 30° angles.

25. Find the image of point P after a rotation of 240° about point M. 26. Find the angle of rotation about O that maps Q to F.

27. Find the angle of rotation about O that maps JK to FG.

Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

28.

29.

Name: ______________________ ID: A

9

Find the surface area of the cylinder in terms of π.

30.

Find the area of a parallelogram with the given vertices.

31. P(–2, –5), Q(9, –5), R(1, 5), S(12, 5) 32. The dashed triangle is a dilation image of the solid triangle. What is the scale factor?

33. ABCD is a parallelogram. If m∠DAB = 115, then m∠BCD = ? . The diagram is not to scale.

Name: ______________________ ID: A

10

Find the area of the circle. Leave your answer in terms of π.

34. Find the area of the shaded portion of the figure. Dimensions are in feet. Leave your answer in terms of π.

35.

Find the area. The figure is not drawn to scale.

36.

37.

Name: ______________________ ID: A

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38.

39.

40.

41.

42.

Name: ______________________ ID: A

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43. In the diagram, the dashed figure is the image of the solid figure.

a. List all pairs of corresponding sides.b. Name the image of point D.

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

44.

Use formulas to find the lateral area and surface area of the given prism. Show your answer to the nearest whole number.

45.

Name: ______________________ ID: A

13

46.

47. For parallelogram PQRS, find the values of x and y. Then find PT, TR, ST, and TQ. The diagram is not to scale.

Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.

48.

Name: ______________________ ID: A

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49. Find the values of the variables in the parallelogram. The diagram is not to scale.

50. The volumes of two similar solids are 729 m3 and 125 m3 . The surface area of the larger solid is 324 m3 . What is the surface area of the smaller solid?

51. The vertices of a triangle are P(–3, 8), Q(–6, –4), and R(1, 1). Name the vertices of the image reflected in the x-axis.

Find the area of the trapezoid. Leave your answer in simplest radical form.

52.

53. Find the area of the rhombus.

54. The vertices of a triangle are P(–7, –4), Q(–7, –8), and R(3, –3). Name the vertices of the image reflected in the line y = x.

Name: ______________________ ID: A

15

55. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.

56. Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 10, ST = 13, TU = 11, UV = 12, and VR = 12. The figure is not drawn to scale.

57. Find the area of the shaded region. Leave your answer in terms of π and in simplest radical form.

Name: ______________________ ID: A

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58. Find AB. Round to the nearest tenth if necessary.

59. Find the slant height x of the pyramid shown to the nearest tenth.

60. In the rhombus, m∠1 = 15x, m∠2 = x + y, and m∠3 = 30z. Find the value of each variable. The diagram is not to scale.

Name: ______________________ ID: A

17

Find the surface area of the pyramid shown to the nearest whole number.

61.

62. m∠R = 130 and m∠S = 80. Find m∠T. The diagram is not to scale.

63. If ON = 5x − 5, LM = 4x + 4, NM = x − 9, and OL = 2y − 5, find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.

Name: ______________________ ID: A

18

64. m∠R = 22. Find m∠O. (The figure is not drawn to scale.)

65. If m(arc BY) = 40, what is m∠YAC? (The figure is not drawn to scale.)

66. The circumference of a circle is 60π cm. Find the diameter, the radius, and the length of an arc of 140°. 67. Find the area of the rhombus. Leave your answer in simplest radical form.

Name: ______________________ ID: A

19

68. Find the center and radius of the circle with equation (x + 9)2 + (y + 5)2 = 64. 69. In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 4x – 5, and HE = 2y + 3. Find the values of x and y.

The diagram is not to scale.

70. Find m∠BAC. (The figure is not drawn to scale.)

Describe the cross section.

71.

Name: ______________________ ID: A

20

72.

73. The vertices of the trapezoid are the origin along with A(4m, 4n), B(4q, 4n), and C(4p, 0). Find the midpoint of the midsegment of the trapezoid.

74. Find the volume of the composite space figure to the nearest whole number.

Name: ______________________ ID: A

21

75. WZ and XR are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)

Name the type of symmetry for the figure.

76.

77. Find the value of h in the parallelogram.

Not drawn to scale 78. Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale.

Name: ______________________ ID: A

22

79. Find the surface area of the cone in terms of π.

80. Find the lateral area and surface area of the cone. Round the answers to the nearest tenth. (The figure is not drawn to scale.)

Find the volume of the cylinder in terms of π.

81.

82. Find the image of O(–1, –3) after two reflections, first in the line y = –2, and then in the line x = –2.

Name: ______________________ ID: A

23

83. AB is tangent to circle O at B. Find the length of the radius r for AB = 5 and AO = 8.6. Round to the nearest tenth if necessary. The diagram is not to scale.

84. LaKeesha was sitting in seat J1 at a soccer game when she discovered her ticket was for seat D4. Write a rule to describe the translation needed to put her in the proper seat.

85. What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 6), C(6, 6), and D(4, 2)?

Write the standard equation for the circle.

86. center (–6, –8), that passes through (0, 0) 87. center (2, 7), r = 4

88. For the parallelogram, if m∠2 = 5x − 28 and m∠4 = 3x − 10, find m∠3. The diagram is not to scale.

89. In the figure, the horizontal lines are parallel and AB = BC = CD. Find KL and FG. The diagram is not to scale.

Name: ______________________ ID: A

24

90. Find the area of an equilateral triangle with side 12. 91. A glass vase weighs 0.17 lb. How much does a similarly shaped vase of the same glass weigh if each

dimension is 6 times as large?

92. In the parallelogram, m∠KLO = 68 and m∠MLO = 61. Find ∠KJM. The diagram is not to scale.

93. LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL.

94. Name the minor arc and find its measure.

Name: ______________________ ID: A

25

Use scalar multiplication to find the image vertices for a dilation with center (0, 0) and the given scale factor.

95. scale factor 4

96. The vertices of a triangle are P(–2, –4), Q(2, –5), and R(–1, –8). Name the vertices of the image reflected in the y-axis.

97. Name the major arc and find its measure.

98. Draw the image of ΔABC reflected in the x-axis.

Name: ______________________ ID: A

26

In the figure, PA→⎯⎯

and PB→⎯⎯

are tangent to circle O and PD→⎯⎯⎯

bisects ∠BPA. The figure is not drawn to scale.

99. For m∠AOC = 46, find m∠POB. 100. The isosceles trapezoid is part of an isosceles triangle with a 46° vertex angle. What is the measure of an

acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale.

ID: A

1

Geometry Spring Final Exam ReviewAnswer Section

MULTIPLE CHOICE

1. ANS: B REF: 9-7 Tessellations OBJ: 9-7.1 Identifying transformations in tessellations STA: NM 2.B

2. ANS: B REF: 12-4 Angle Measures and Segment LengthsOBJ: 12-4.2 Finding Segment Lengths STA: NM 3.A | NM 3.A.7bTOP: 12-4 Example 3

SHORT ANSWER

3. ANS: 3 : 5; 3: 5

REF: 10-4 Perimeters and Areas of Similar Figures OBJ: 10-4.1 Finding Perimeters and Areas of Similar FiguresSTA: NM 3.A | NM 3.A.1 | NM 3.D.3 TOP: 10-4 Example 4

4. ANS: 3 : 1


5. ANS: 1217 ft2


6. ANS: 24.9

REF: 12-2 Chords and Arcs OBJ: 12-2.2 Lines Through the Center of a Circle STA: NM 3.A | NM 3.A.7b TOP: 12-2 Example 3

ID: A

2

7. ANS: 10

REF: 12-2 Chords and Arcs OBJ: 12-2.2 Lines Through the Center of a Circle STA: NM 3.A | NM 3.A.7b TOP: 12-2 Example 3

8. ANS: 77

REF: 12-2 Chords and Arcs OBJ: 12-2.1 Using Congruent Chords, Arcs, and Central AnglesSTA: NM 3.A | NM 3.A.7b TOP: 12-2 Example 1

9. ANS: 20.5


10. ANS: 15.75

REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Finding Segment Lengths STA: NM 3.A | NM 3.A.7b

11. ANS: 11.5

REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.2 Finding Segment Lengths STA: NM 3.A | NM 3.A.7bTOP: 12-4 Example 3

12. ANS: 12


13. ANS: 14.5

REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Finding Angle Measures STA: NM 3.A | NM 3.A.7bTOP: 12-4 Example 1

ID: A

3

14. ANS: x = 9, y = 13; 11, 20

REF: 6-1 Classifying Quadrilaterals OBJ: 6-1.1 Classifying Special QuadrilateralsSTA: NM 3.A.3 | NM 3.B | NM 3.B.2 | NM 3.B.4 | NM 2.D.5TOP: 6-1 Example 3

15. ANS: x = 4, DF = 15, EG = 15

REF: 6-4 Special Parallelograms OBJ: 6-4.1 Diagonals of Rhombuses and Rectangles STA: NM 3.A | NM 3.A.7a | NM 3.A.7c TOP: 6-4 Example 2

16. ANS: 83

and 649


17. ANS: 69

REF: 12-1 Tangent Lines OBJ: 12-1.1 Using the Radius-Tangent Relationship STA: NM 3.A | NM 3.D.4 TOP: 12-1 Example 1

18. ANS: 78


19. ANS: QR

REF: 9-1 Translations OBJ: 9-1.1 Identifying isometriesSTA: NM 3.C | NM 3.C.1a | NM 3.C.2a TOP: 9-1 Example 2

20. ANS: ∠R


ID: A

4

21. ANS: 18.1


22. ANS: 2143.4 yd3

REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 Finding Volume of a PrismSTA: NM 3.A.4 | NM 3.D.3 TOP: 11-4 Example 2

23. ANS: 308 ft3

REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.1 Finding Volume of a PrismSTA: NM 3.A.4 | NM 3.D.3 TOP: 11-4 Example 1

24. ANS: 35.5°

REF: 12-4 Angle Measures and Segment Lengths OBJ: 12-4.1 Finding Angle Measures STA: NM 3.A | NM 3.A.7bTOP: 12-4 Example 1

25. ANS: K

REF: 9-3 Rotations OBJ: 9-3.1 Drawing and identifying rotation imagesSTA: NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a TOP: 9-3 Example 2

26. ANS: 300°


27. ANS: 120°


ID: A

5

28. ANS: 63.4 cm2

REF: 10-5 Trigonometry and Area OBJ: 10-5.2 Finding the Area of a TriangleSTA: NM 3.A.1 | NM 3.D.3 | NM 3.D.5 TOP: 10-5 Example 3

29. ANS: 10.5 m2

REF: 10-5 Trigonometry and Area OBJ: 10-5.2 Finding the Area of a TriangleSTA: NM 3.A.1 | NM 3.D.3 | NM 3.D.5 TOP: 10-5 Example 3

30. ANS: 304π in.2

REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.2 Finding Surface Area of a Cylinder STA: NM 3.A.4 | NM 3.D.3 TOP: 11-2 Example 3

31. ANS: 110 units2

REF: 10-1 Areas of Parallelograms and Triangles OBJ: 10-1.1 Area of a Parallelogram STA: NM 3.A.1 | NM 3.D.3TOP: 10-1 Example 1

32. ANS: 12

REF: 9-5 Dilations OBJ: 9-5.1 Locating dilation imagesSTA: NM 3.C |NM 3.C.1a | NM 3.C.2a | NM 3.C.2b TOP: 9-5 Example 1

33. ANS: 115

REF: 6-2 Properties of Parallelograms OBJ: 6-2.1 Properties: Sides and AnglesSTA: NM 3.A.3 | NM 3.A.7a

34. ANS: 68 − 16π( ) ft2

REF: 10-7 Areas of Circles and Sectors OBJ: 10-7.1 Finding Areas of Circles and Parts of Circles STA: NM 3.D.3 TOP: 10-7 Example 1

ID: A

6

35. ANS: 12.96π m2


36. ANS: 303.66 in.2

REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites OBJ: 10-2.1 Area of a Trapezoid STA: NM 3.A.1 | NM 3.D.3TOP: 10-2 Example 1

37. ANS: 144.5 cm2

REF: 10-1 Areas of Parallelograms and Triangles OBJ: 10-1.2 Area of a Triangle STA: NM 3.A.1 | NM 3.D.3TOP: 10-1 Example 3

38. ANS: 1188 in.2


39. ANS: 15 yd2


40. ANS: 70 in.2


41. ANS: 28.12 cm2


ID: A

7

42. ANS: 278 in.2


43. ANS: a. CF ≅ TS, FE ≅ SR, ED ≅ RQ, DC ≅ QTb. Q


44. ANS: no

REF: 11-7 Areas and Volumes of Similar Solids OBJ: 11-7.1 Finding Relationships in Area and Volume STA: NM 3.A.4 | NM 3.D.3 TOP: 11-7 Example 1

45. ANS: 342 m2 ; 382 m2

REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 Finding Surface Area of a Prism STA: NM 3.A.4 | NM 3.D.3TOP: 11-2 Example 2

46. ANS: 504 m2 ; 519 m2

REF: 11-2 Surface Areas of Prisms and Cylinders OBJ: 11-2.1 Finding Surface Area of a Prism STA: NM 3.A.4 | NM 3.D.3TOP: 11-2 Example 2

47. ANS: x = 3, y = 6; 5, 5, 7, 7

REF: 6-2 Properties of Parallelograms OBJ: 6-2.2 Properties: Diagonals and Transversals STA: NM 3.A.3 | NM 3.A.7a TOP: 6-2 Example 3

48. ANS: 3072 ft3

REF: 11-5 Volumes of Pyramids and Cones OBJ: 11-5.1 Finding Volume of a PyramidSTA: NM 3.A.4 | NM 3.D.3 TOP: 11-5 Example 1

ID: A

8

49. ANS: x = 29, y = 49, z = 102


50. ANS: 100 m2


51. ANS: P′(−3, − 8), Q ′(−6, 4), R′(1, − 1)

REF: 9-2 Reflections OBJ: 9-2.1 Finding reflection imagesSTA: NM 3.C | NM 3.C.1a | NM 3.C.1b | NM 3.C.2a TOP: 9-2 Example 1

52. ANS: 63 cm2


53. ANS: 128 m2

REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites OBJ: 10-2.2 Finding Areas of Rhombuses and Kites STA: NM 3.A.1 | NM 3.D.3 TOP: 10-2 Example 4

54. ANS: P′(−4, − 7), Q ′(−8, − 7), R′(−3, 3)


55. ANS: x = 10, y = 7

REF: 6-3 Proving That a Quadrilateral is a Parallelogram OBJ: 6-3.1 Is the Quadrilateral a Parallelogram? STA: NM 3.A | NM 3.A.7a | NM 3.A.7c TOP: 6-3 Example 1

ID: A

9

56. ANS: 4

REF: 12-1 Tangent Lines OBJ: 12-1.2 Using Multiple TangentsSTA: NM 3.A | NM 3.D.4 TOP: 12-1 Example 5

57. ANS: 120π + 36 3ÊËÁÁÁÁ

ˆ¯˜̃̃˜ m2


58. ANS: 3.5


59. ANS: 4.3 mm

REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 Finding Surface Area of a Pyramid STA: NM 3.A.4 | NM 3.D.3 TOP: 11-3 Example 2

60. ANS: x = 6, y = 84, z = 10

REF: 6-4 Special Parallelograms OBJ: 6-4.1 Diagonals of Rhombuses and Rectangles STA: NM 3.A | NM 3.A.7a | NM 3.A.7c TOP: 6-4 Example 1

61. ANS: 85 ft2

REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.1 Finding Surface Area of a Pyramid STA: NM 3.A.4 | NM 3.D.3 TOP: 11-3 Example 1

62. ANS: 70

REF: 6-5 Trapezoids and Kites OBJ: 6-5.1 Properties of Trapezoids and KitesSTA: NM 3.A | NM 3.A.7a | NM 3.A.7c

ID: A

10

63. ANS:

x = 9, y = 52

REF: 6-3 Proving That a Quadrilateral is a Parallelogram OBJ: 6-3.1 Is the Quadrilateral a Parallelogram? STA: NM 3.A | NM 3.A.7a | NM 3.A.7c

64. ANS: 44

REF: 12-3 Inscribed Angles OBJ: 12-3.1 Finding the Measure of an Inscribed Angle STA: NM 3.A | NM 3.A.7b TOP: 12-3 Example 2

65. ANS: 70

REF: 12-3 Inscribed Angles OBJ: 12-3.2 The Angle Formed by a Tangent and a ChordSTA: NM 3.A | NM 3.A.7b TOP: 12-3 Example 3

66. ANS: 60 cm; 30 cm; 23.3π cm

REF: 10-6 Circles and Arcs OBJ: 10-6.2 Circumference and Arc LengthSTA: NM 3.A | NM 3.D.3 TOP: 10-6 Example 4

67. ANS: 50 3

REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites OBJ: 10-2.2 Finding Areas of Rhombuses and Kites STA: NM 3.A.1 | NM 3.D.3 TOP: 10-2 Example 4

68. ANS: center (–9, –5); r = 8

REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.2 Finding the Center and Radius of a Circle STA: NM 3.B TOP: 12-5 Example 3

69. ANS: x = 3, y = 2


ID: A

11

70. ANS: 57

REF: 12-3 Inscribed Angles OBJ: 12-3.1 Finding the Measure of an Inscribed Angle STA: NM 3.A | NM 3.A.7b TOP: 12-3 Example 2

71. ANS: pentagon

REF: 11-1 Space Figures and Cross Sections OBJ: 11-1.2 Describing Cross SectionsSTA: NM 3.A TOP: 11-1 Example 4

72. ANS: square

REF: 11-1 Space Figures and Cross Sections OBJ: 11-1.2 Describing Cross SectionsSTA: NM 3.A TOP: 11-1 Example 4

73. ANS: (m + q + p, 2n)

REF: 6-7 Proofs Using Coordinate Geometry OBJ: 6-7.1 Building Proofs in the Coordinate Plane STA: NM 3.B | NM 3.A.7a | NM 3.A.7c | NM 3.B.4

74. ANS: 438 mm3

REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.2 Finding Volume of a CylinderSTA: NM 3.A.4 | NM 3.D.3 TOP: 11-4 Example 4

75. ANS: 226


76. ANS: rotational

REF: 9-4 Symmetry OBJ: 9-4.1 Identifying types of symmetry in figuresSTA: NM 3.C TOP: 9-4 Example 2

77. ANS: 32


ID: A

12

78. ANS: x = 7, y = 4; 20, 35


79. ANS: 54π cm2

REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.2 Finding Surface Area of a Cone STA: NM 3.A.4 | NM 3.D.3TOP: 11-3 Example 3

80. ANS: L.A. = 791.7 ft2 ; S.A. = 1244.1 ft2

REF: 11-3 Surface Areas of Pyramids and Cones OBJ: 11-3.2 Finding Surface Area of a Cone STA: NM 3.A.4 | NM 3.D.3

81. ANS: 490π in.3

REF: 11-4 Volumes of Prisms and Cylinders OBJ: 11-4.2 Finding Volume of a CylinderSTA: NM 3.A.4 | NM 3.D.3 TOP: 11-4 Example 3

82. ANS: (–3, –1)


83. ANS: 7


84. ANS: (x – 6, y + 3)

REF: 9-1 Translations OBJ: 9-1.2 Translations using vectorsSTA: NM 3.C | NM 3.C.1a | NM 3.C.2a TOP: 9-1 Example 4

ID: A

13

85. ANS: parallelogram


86. ANS: (x + 6)2 + (y + 8)2 = 100

REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.1 Writing an Equation of a CircleSTA: NM 3.B TOP: 12-5 Example 2

87. ANS: (x – 2)2 + (y – 7)2 = 16

REF: 12-5 Circles in the Coordinate Plane OBJ: 12-5.1 Writing an Equation of a CircleSTA: NM 3.B TOP: 12-5 Example 1

88. ANS: 163

REF: 6-2 Properties of Parallelograms OBJ: 6-2.1 Properties: Sides and AnglesSTA: NM 3.A.3 | NM 3.A.7a TOP: 6-2 Example 2

89. ANS: KL = 7.6, FG = 5.1


90. ANS: 36 3

REF: 10-3 Areas of Regular Polygons OBJ: 10-3.1 Areas of Regular PolygonsSTA: NM 3.A.1 | NM 3.D.3 TOP: 10-3 Example 3

91. ANS: 36.72 lb


92. ANS: 129


ID: A

14

93. ANS: x = 5, NM = 20, OL = 20

REF: 6-2 Properties of Parallelograms OBJ: 6-2.1 Properties: Sides and AnglesSTA: NM 3.A.3 | NM 3.A.7a TOP: 6-2 Example 2

94. ANS: arc AB; 115°

REF: 10-6 Circles and Arcs OBJ: 10-6.1 Central Angles and ArcsSTA: NM 3.A | NM 3.D.3 TOP: 10-6 Example 3

95. ANS: A′(−12,4), B′(16,− 12), C ′(8,12), D ′(−4,16)

REF: 9-5 Dilations OBJ: 9-5.1 Locating dilation imagesSTA: NM 3.C |NM 3.C.1a | NM 3.C.2a | NM 3.C.2b TOP: 9-5 Example 3

96. ANS: P′(2, − 4), Q ′(−2, − 5), R′(1, − 8)


97. ANS: arc ADB; 310°

REF: 10-6 Circles and Arcs OBJ: 10-6.1 Central Angles and ArcsSTA: NM 3.A | NM 3.D.3 TOP: 10-6 Example 3

ID: A

15

98. ANS:


99. ANS: 46

REF: 12-1 Tangent Lines OBJ: 12-1.2 Using Multiple TangentsSTA: NM 3.A | NM 3.D.4 TOP: 12-1 Example 4

100. ANS: 67°; 113°

REF: 6-5 Trapezoids and Kites OBJ: 6-5.1 Properties of Trapezoids and KitesSTA: NM 3.A | NM 3.A.7a | NM 3.A.7c TOP: 6-5 Example 2

Documents

Name: Class: Date: ID: A - Farmington High Schoolfhs.fms.k12.nm.us/teachers/Dbarthelmeh/Geometry Spring...47. For parallelogram PQRS, find the values of x and y. Then find PT, TR,