Class_~, Name Date _ Quiz 1 Series 1 Use after Section 11.3 AREA 1 Find the area of a square whose diagonal is 6. 2 Find the base of a triangle whose altitude is 6 and whose area is 30. 2 3 Find the area of a rectangle with a base of 24 and a diagonal of 25. 4 Find the area of the triangle 4 shown. 5 5 Find the area of ALMN. N (11, 2) (~<, 2) M x 6 Find the area of a trapezoid with a median of 10 and an altitude of 8. 6 3 7 Find the length of the median / of the trapezoid shown. / 5 8 Find the area of parallelogram ABCD. Find the area of isosceles trapezoid WXYZ. 10 Find the area of a triangle whose base is 7 and whose height is 4. Copyright © McDougal, Littell & Company 10 Quiz I t 329 Class __ Name. Date Quiz 2 Series 1 Use after Section 11.4 AREA 1 Find the area of a rectangle with a base of 6 and a diagonal of 10. 2 Find the area of the triangle shown. 10 Find the area of the trapezoid shown. 2O 4 Find the area of the kite shown. Find the area of a trapezoid with a median of 6 and an altitude of 8. 5 6 Find the area of the parallelogram shown. 6 7 Find the area of A (3,10) B (10,10) trapezoid ABCD. (-2, 1) 8 In the figure, ~--A is a tangent segment. PB=3andPA=6. Find BC. 330 Quiz 2 D"z= 7 (13, 1) ~’C 8 Copyright © McDougal, Littell & Company Class __ Name Date Quiz 3 Series 1 Use after Section 11.4 1 Find the area of the diagram. 11 5 2 Find the height of a triangle whose area is 63 and whose base is 9. 3 Find the area of the parallelogram. 2 10 320 12 In problems 4-5, use the diagram. 4 Find the area of ~ABC. y 5 Find the length of the median from C. (8, s) A (0,0) B (5,0) x 6 Given: &ABC is inscribed in q)O. ~ Radius of (~)O is 5. ~=6 Find the area of ~ABC.~ 7 Find the area of a kite with diagonals 6 and 4. 6. 7 8 A 2-foot-wide walk surrounds a ]~/,,,~/////////~ rectangular garden. Find the 9 area covered by the walk. 9 Find the perimeter of a square whose area is 36. Copyright © McDougal, Littell & Company Quiz 3 I 331 Name Class Date _ Quiz 4 Series 1 Use after Section 11.4 In problems 1-5, find the area. 1 4 2 5 3 1 15 4 5 100 30 Find the area of a rectangle with a base of 24 and a diagonal of 40. 6 Find the area of a trapezoid with a median of 6 and an altitude of 8. 7 8 The ratio of the base to the height of a rectangle is 2:3. If the perimeter of the rectangle is 90, find the area. 9 In the diagram, ~-~ is a tangent segment. PB = 13 and PA = 26. Find BC. 9 10 In the circle, OA = 6. Find the length of A~. C 332 ! Quiz 4 8 10 Copyright © McDougal, Littell & Company Date __ Name Quiz 5 Series 1 Use after Section 11.6 1 At 40 cents per square foot, how much would it cost to paint a rectangular floor whose width is 9 feet and whose diagonal is 15 feet? 2 Find the area of AABC. A 2 6 4B 8 C 3 Find the area of a rhombus with diagonals of 10 and 24. 3 4 Find the area of an equilateral triangle whose perimeter is 24. 4 A square is inscribed in a circle as shown. Find the area of the circle. 6 Find the area of a circle whose circumference is 12~r. 6 7 Find the area of circle O. 7 8 Find mLCHD. 8 9 Find TP. Copyright © McDougal, Littelt & Company 9 Quiz 5 I 333 Name Class ------ ----_ Date _ Quiz 6 Series 1 Use after Section 11.7 1 Find the area of the shaded portion. In problems 2-6, refer to the diagram and the information given. Given: (~)O BC = 6 = ~2x)o 2 Find 3 Find AC. 4 Find the circumference of the circle. 5 Find the area of ~ABC. 6 Find the area of the segment bounded by chord ~ and arc B~-~. 7 Find the area of a regular polygon with a perimeter of 12 and an apothem of 6. 8 If the two triangles shown are similar, what is the ratio of their areas? 9 Find the ratio of the areas of &ABC and ADEF. A 334 t Quiz 6 Copyright © McDougal, Litteil & Company Name Date __ ClaSS Quiz 7 Series 1 Use after Section 11.7 1 Find the area of a triangle with sides 25, 40, and 25. 2 Find the area of an isosceles trapezoid with bases 10 and 16 and base angle 45°. In problems 3-5, use the diagram. B 3 Find the area of Z~ABC. 4 Find the area of sector BAC. B 5 Find the area of the segment of (~)A bounded by ~-~ and BC. 3 B C ~///~ ~A 4 C 5 D 6 Given: APQR-z~DEF Find the ratio of the area of p ~PQR to the area of ADEF. 7 Find the area of the figure. E F6 ~..._A, (3, 12) B (10, 12) 7 D C 8 Find the area of the annulus shown. Copyright © McDougal, Littell & Company Quiz 7 335 Name Class Date Quiz 8 Series 1 Use after Section 11.7 1 Find the area of parallelogram JKLM. (0,9) M ~y / (-3, 2) J L (10,9) K (7, 2) x 2 Find the area of ~XYZ. Y (-4, 12) Y (14, 12) x Z (2, o) 3 Find the area of a regular hexagon withside 8. 4 Find the area of an equilateral triangle with side 6. 4 (continues) 336 I Quiz 8 Copyright © McDougal, Litteil & Company Date _ Class Name Quiz 8 Series 1 Use after Section 11.7 AREA (continued) 5 Find the area of the parallelogram. // 5 6 Find the area of a trapezoid with an altitude of 7 and bases 12 and 18. 6 7 Find the base of a triangle with an altitude of 30 and an area of 60. 7 8 Find the area of a regular polygon with a perimeter of 40 and an apothem of 5, Find the ratio of the areas of two similar triangles if two corresponding sides are 5 and 4. 10 Find the area of the sector. 10_ 11 A circle with radius 3 is inscribed in an equilateral triangle. Find the area of the shaded region. Copyright © McDouga!, Littell & Company Quiz 8 t 337 Name Class _ Date__ Quiz 9 Series 1 Use after Section 11.7 AP~A In problems 1-3, refer to the diagram and the information given. A rhombus has diagonals that measure 16 and 30. 2 3 4 5 Find the area of the rhombus. 1 Find the perimeter of the rhombus. 2 Find the altitude of the rhombus. 3 The diameter of circle O is 10 and the radius of circle P is 8. Find the ratio of the area of circle O to the area of circle P. 4 Find the area of ~ABC. c (6, 4) X Find the area of the shaded sector. 6 N (8, 16) (2, 10) x Copyright @ McDougat, Lit/ell & C~mpany ~ Class Name AREA Date. Quiz lO Series 1 Use after Section 11.8 In problems 1-10, write the correct formula. 1 Area of rectangle 1 2 Area of parallelogram 2 3 Area of square 3 4 Area of regular polygon 4 5 Area of equiangular triangle 5 6 Area of triangle 6 7 Hero’s Formula 7 8 Brahmagupta’s Formula 8 9 Circumference of a circle 9_ 10 Area of a circle 10_ In problems 11 and 12, draw a diagram, choose dimensions for the figure, write the correct formula, and solve the problem. 11 Area of a kite 12 Area of a trapezoid (continues) Copyright © McDougal, Littell & Company Quiz 10 I 339 Name Class__ Date Quiz 1{) Series 1 Use after Section 11.8 AREA (continued) 13 Find the area of trapezoid JKLM. ~ M (-6, 2) 13 (2, 11) I K (10, 11) L (10, 2) x 14 Given: (~)P and square ABCD with the following coordinates: P (6, 4}, A (2, 8}, B (10, 8), C (10, 0), D (2, 0) Find the area of the shaded region. 14 x 340 I Quiz 10 Copyright © McDougal, Littell & Company 68 7-10 2 external, Quiz 2 1 17 2 4~v~ 2 internal Quiz 3 1 100 9 60° 15 20° Quiz 4 1 90 2 45 3 78 9 121 1045 4 12 Quiz 5 1 8Q 9 2O 3 110 Quiz 6 1-5 I ~ _L A~ in (~)P. / Given 2 ~Q ~ ~-Q / If a radius is ¯ to a chord, then it bis. the chord. 3 LAQR and LCQR are rt. Ls. / _L lines form ft. _Ls. 4 LAQR-~LCQR/Rt. Lsare~. 5 ~Q~ R~/Reflexive 4 30 5 12 2 60 3 30 4 40 10 x = 120°, y = 95° 16 8 17 15 5 35 11 30° 2 25 36 5 33 6 45 7 98 4 35 6 20 7 50 8 70° 14 70° 12 40° 13 20° 8 62 5 60 6 50 7 40 8 105 Pro~p~erty~ 6 &AQR ~ Z~CQR / SAS (2, 4, 5) 7 A~ ~ ~ / CPCTC 8 AR ~ CR / If 2 chords of a (~) are ~, their corresponding arcs are 9 R is midpt, of A~C. / If apt. divides an arC into 2 ~- arcs, it is the midpt. 6 T-~ 7 X~Z 8 ~ 9 X~ 10 LXOY 11 LOXY, LWYX 16 110° 17 8 18 144 12 XYT 13 WXY 14 24 15 10 19 4 Quiz 7 1 12~ 8 4~ Quiz 8 1 80 2 80 3 90 4 55 5 55 6 90 9 120° 10 6 11 13 12 5 Quiz 9 1 12~ Quiz lo 97 2 90 9 377 3 3~ 4 17 5 100÷ 10~ 7 65 8 6 units 14 6~r 13 10~r 2 30 3 3~ 4 20 5 4-~ 6 24 3o~r 3 2~r 4 13 5 lO 65 15 9 7 13 7 35 88 8 260 lO 30 Chapter 11 Area Quiz I 1 18 9 120 2 10 3 168 10 14 Quiz 2 1 48 2 84 3 120 4 Quiz 3 1 111 2 14 3 60"~/~ 8 68 sq ft 9 24 Quiz 4 1 18~ 2 176 3 144 7 48 8 486 9 39 460 5 75 6 80 36 5 48 6 30~/~ 4 36 5 9 4 1800~v~ 6 24 74 8 20%/~ 7 99 89 7 12 5 238.95 6 768 10 2~r Quiz 5 1 $43.20 2 24 3 120 4 16~/~ 5 50~r 6 36~r 7 49~r 860 95 Quiz 6 1 144- 36¢r 2 30 3 6%/~ 4 12,rr 5 18"~/~ 6 6~r- 9~V~ 7 36 8 4:9 9 1:1 510 I Answers to Quizzes Cl~apter 11 Copyright © McDougal, Littell & Company Quiz Quiz 4 247r 7 I 300 2 39 3 7 70 + 257r 8 1 70 8 100 Quiz 9 Quiz 10 1 240 2 108 3 96~-~ 9 25:16 10 47r 2 68 3 14~7 1 A=b.h 5 24~r - 36"~’~ 6 9:4 8 56~r 4 9~/~ 5 24"X/~ 6 105 11 27~-9~ 4 25:64 5 24 2A=b.h 5 A = ~-’kf~ 6A= b’h 74 6 97r 3 A=sz 4A=~a.p 1 7A=~/s(s-a)(s-b)(s-c) 8 A =~/(s-a)(s -b)(s -c)(s -d) 9 C =~rd 10 A =~r2 11 Answers will vary. 12 Answers will vary. 13 108 14 64 - 16~r Chapter t2 Surface Area and Volume Quiz 1 1 16",/5 ;~ 160~/~ 3 240 ’ 4 240 + 32~/-~ 5 36~ 10 64 7 607r 8 2887r 9 144~ Quiz 2 1 967r 2 60~r 3 36~r 7 62 8 120~r 9 727r 4 25 6 120~r 5 180 + 50~/~ 6 15ff~/~ Chapter 13 Coordinate Geometry Extended Quiz I 2 4 3 9 x = -2 10 y = -4x + 13 8y=-2x+2 7y=~×-3 3 2 5 11 y =~x -3 12 y = -~x +5 13 y=~x+5 14 y=2x-2 1 +I 15 y = -~x Copyright © McOougal, Littell & Company Answers to Quizzes Chapters 12-13 ! 511

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