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Module 5: Geometry
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What is the surface area of the object if the scale is 1/2?
48 cm2
What is the surface area of the object?
192 cm2
What is the volume of the figure with a scale factor of 1:5?
20,000 cm3
What is the volume of the figure?
160 cm3
If a cross section of the paperweight is cut perpendicular to the base, which shape describes the cross section?
square
If a cross section of the paperweight is cut diagonal to the base, which shape describes the cross section?
parallelogram
What is the measure of angle C?
110 degrees (180-70)
What is the measure of angle B?
55 degrees (90+35+B=180)
What is the measure of angle A?
35 degrees (vertical angle)
What is the area of a triangle that has a height of 6 feet and a base length of 7 feet?
21 feet2
If a cross section of the paperweight is cut parallel to the base, which shape describes the cross section?
rectangle
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
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)
How many square inches of cloth are cut from the square?
2,122.64 in2 (Area = pi times r squared) r=26
The angles are supplementary. What is the value of x?
11 degrees
What is the value of X?
40 degrees
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.
What is the value of x?
15 degrees
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
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
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
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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