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Test 2 Geometry Review MGF1106 9.1/9.2: Union/Intersection; sum of measures of angles; supplement/complement; regular polygons; finding angle measures: Parallel lines, triangles, vertical angles, straight lines; similar/congruent 9.3/9.4: Ask for formula first, make sure you label answer, make sure you check units are the same, combo problem (shaded), Euler’s formula 8.1/8.2 know metric conversions for single, squared, and cubed 8.4 = know how to do worksheet Review pg 474(1-12, 33-36, 39a, 40a, 41ab) pg476 (1-6, 10,11,15,16) pg 560 (1-31) pg 563 (1-13) Conversions Given to You on test(8.4) F= 1.8 C + 32 1 in = 2.54 cm 1 fluid ounce (fl oz) = 2 Tablespoons (T) = 6 teaspoons (t) = 30 milliliters (mL) 1 gallon(gal) = 4 quarts (qt) = 8 pints(pt) 1 quart (qt) = 2 pt = 4 cups (c) = 32 fl oz = 0.95 liters (L) 2.2 pounds (lb) = 1 kilogram (kg) Chapter 9 Concepts Review T or F : To be true – the statement must be True in Euclidean Geometry always. 1) Skew Lines may be in (subsets of) the same plane. 2) The intersection of 2 planes may be 1 point. 3) The acute angles associated with an obtuse triangle may be complimentary. 4) If the length of each side of a cube is doubled, then the volume will be doubled. 5) If 2 rectangles have equal area, then their perimeters will be equal. 6) A rhombus has 4 equal sides. 7) A prism may be a cylinder. 8) Vertical Angles have a sum of 180. 9) It takes 2 points to determine a unique plane. 10) It takes 3 points to determine a unique line. Chapter 8 Review (9.3/9.4) (if needed round to nearest tenth on 13-16) 1) 573.2 m = __________km 9) 32 m3 = ___________ c m3 2) 14 g = ___________ cg 10) 450,000 cm3 = _______ m3 3) 0.18 L = ___________mL 11) 8.3 yd3 = __________ ft3 4) 240 dL = ___________ kL 12) 54 ft3 = ___________ yd3 5) 620 cm2 = __________ m2 13) 20˚C = _____˚F 6) 620 cm2 = __________ mm2 14) 92˚F= _____˚C 7) 76 kL2 = ___________ L2 15) 3 pt = 2 8) 7.5 ft = ___________ in 2 _________ fl oz 16) 24 kg = _________ lb 9.1-9.4 Review problems: Determine angles 1 – 7. Find the measurement of x. 8. The angles are complementary The angles are supplementary Find angles 1 and 2. Find angles 1 and 2. 6. 7. Line l1 and l2 are parallel. Find the angle measures 9. 10. Determine the sum of the measures of the interior angles of a pentagon. 11. Determine the measure of an interior angle of the regular octagon. 12. The figures are similar. Find the lengths of side x and y. 13. Find the perimeter and area Find the shaded area. Round to the nearest hundredth. Use the π key on your calculator 14. 15. 16. The cost of laminate flooring is $2.29 per square yd. Determine the cost of putting laminate down in the Living Room/Dining Room. 17. The Creamery packages its homemade ice cream in tubs and in boxes. The tubs are in the shape of a right cylinder with a diameter of 6 in and height of 5 in. the boxes are in the shape of a cube with each side measuring 5 in. Determine the volume of each container. If they cost the same, which is a better buy? Round to 2 decimals if needed 18. The pyramid has a square base that measures 720ft on a side. Its height is 480 ft. what is the volume? 19. Determine the volume of the flower box below a) in3 b) ft3 20. A bag of icing is shaped like a cone with a diameter of 3 in. and a height of 6 in. How much icing does it hold? Round to 2 decimals if needed 21. find the shaded volume Round to 2 decimals if needed 22. if there are 7 vertices and 12 edges in a polyhedron, how many6 faces are there using Euler’s Polyhedron Formula. ANSWERS TO GEOMETRY REVIEW All T/F are F From 9.1, 9.2 mostly (pg 482) Answers Conversions ch 8: 1. 0.5732 3. 180 5. 0.062 7. 76,000,000 9. 32,000,000 11. 224.1 13. 68 15. 48 2. 1400 4. 0.024 6. 62,000 8. 1080 10. 0.45 12. 2 14. 33.3 16. 52.8 9.1-9.4 2. EG 1. AD 3. BD 4. AD 5. 3,4,7=125˚; 1,2,5,6=55˚ 6. 1=64˚, 2=26˚ 7. 1=134˚,2=46˚ 8. 150˚ 9. 1,7=90˚ ; 2,4,5=50˚; 3,8=130˚; 6,10,12=40˚; 8=130˚; 9,11=140˚ 10. 540˚ 12. x = 20 11. 135˚ 13. 42 in, 78in2 y=21 ¼ 14. 7.73ft2 16. 550 ft2/9=61.1=>62yd2 15. 65.73in2 $141.98 17. Tub= 141.37 in3 , box=125 in3 so tub 18. 82,944,000 ft3 19. 4320 in3 20. 14.14 in3 21. 102.9 mm3 22. 7 faces 2.5ft3