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Transcript
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