Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Match the dilation with the scale factor used.
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Corresponding Item
Dilation A
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\frac{3}{4}
Dilation B
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\frac{1}{4}
Dilation C
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\frac{1}{2}
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Question 2
2.
The pyramid of Khufu in Giza, Egypt was the
world's tallest free-standing structure for more than 3,500 years. Its original height was about 144 meters. Its base is approximately a square with a side length of 231 meters.
The diagram shows a cross section created by dilating the base using the top of the pyramid as a center of dilation. The cross section is at a height of 96 meters.
a. What scale factor was used to create the cross section? _______
b. What are the dimensions (length x width) of the cross section? _______ meters by _______ meters
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Question 3
3.
Imagine an upright cone with its base resting on your horizontal desk. Match each plane with the image of the cross section formed by intersecting the plane with the cone.
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Corresponding Item
horizontal
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Figure 2
vertical, through cone's topmost point
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Figure 1
diagonal
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Figure 3
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Question 4
4.
What is the shape of the cross section formed by intersecting a cube with a vertical plane that passes through opposite edges of the cube?
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Question 5
5.
Sketch the solid of rotation formed by rotating the given two-dimensional figure using the dashed vertical line as an axis of rotation.
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Question 6
6.
A rope with a length of 4 meters is tied from a stake in the ground to the top of a tent. It forms a 20 degree angle with the ground. How tall is the tent? (Round your answer to the nearest tenth of a meter.
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Question 7
7.
Find the length of the side of the triangle labeled y.