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Module 5: Geometry
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What is the volume of the figure?
160 cm3
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What is the area of a triangle that has a height of 6 feet and a base length of 7 feet?
21 feet2
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How many square inches of cloth are LEFT OVER after cutting the circle out from the square?
581.36 in2 (Circle area = pi times r squared and square area = length times width)
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If a cross section of the paperweight is cut diagonal to the base, which shape describes the cross section?
parallelogram
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Lara wrote the following statement: "You can only draw one unique isosceles triangle that contains an angle of 75°." Is she correct? Why or why not?
No, an isosceles triangle has two equal side lengths, but those lengths can vary.
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What is the surface area of the object if the scale is 1/2?
48 cm2
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What is the value of X?
40 degrees
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Yusef made a poster. What would be the dimensions of the poster at 1/4 its current size?
Length = 9 cm, width = 6 cm
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If a cross section of the paperweight is cut perpendicular to the base, which shape describes the cross section?
square
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If each 2 cm on the scale drawing equals 10 feet, what are the actual dimensions of the room?
Length = 30 feet, width = 20 feet
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What is the volume of the figure with a scale factor of 1:5?
20,000 cm3
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What is the measure of angle A?
35 degrees (vertical angle)
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How many square inches of cloth are cut from the square?
2,122.64 in2 (Area = pi times r squared) r=26
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The angles are supplementary. What is the value of x?
11 degrees
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What is the measure of angle B?
55 degrees (90+35+B=180)
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What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
Perimeter = 126 cm, area = 972 cm2
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Which of the following side lengths will form a triangle? A) 16, 9, 7 B) 17, 11, 5 C) 17, 12, 7 or D) 16, 8, 7
C) 17, 12, 7
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What is the measure of angle C?
110 degrees (180-70)
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A running track in the shape of an oval is shown. The ends of the track form semicircles. What is the perimeter of the of the track?
444.44 m
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What is the surface area of the object?
192 cm2
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If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section?
rectangle
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What is the value of x?
15 degrees
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