Illustrative Mathematics - Geometry - Unit 6 - Lesson 4
By Formative Library
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Last updated 2 months ago
9 Questions
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1.
Match each equation to its description.
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(x-1)^{2}+y^{2}=9
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x^{2}+(y+4)^{2}=9
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(x-1)^{2}+(y-4)^{2}=3
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(x-1)^{2}+(y+4)^{2}=9
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(x-1)^{2}+(y+4)^{2}=3
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2.
Write an equation of a circle that is centered at (-3,2) with a radius of 5.
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6.
(x,y) \rightarrow (x-3,4-y) is an example of a transformation called a glide reflection. Complete the table using the rule.
Does this glide reflection produce a triangle congruent to the original?
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7.
The triangle whose vertices are (1,1),(5,3) and (4,5) is transformed by the rule (x,y)\rightarrow (3x,3y). Is the image similar or congruent to the original figure?
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8.
Match each coordinate rule to a description of its resulting transformation.
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Dilate using the origin as the center and a scale factor of 3.
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Translate along the directed line segment from (0,0) to (-3,-3).
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Translate along the directed line segment from (0,0) to (3,3)
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Translate along the directed line segment from (0,0) to (-3,0)
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Translate along the directed line segment from (0,0) to (3,0)
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Translate along the directed line segment from (0,0) to (0,-3)
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Translate along the directed line segment from (0,0) to (0,3)
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9.
A cone-shaped container is oriented with its circular base on the top and its apex at the bottom. It has a radius of 18 inches and a height of 6 inches. The cone starts filling up with water. What fraction of the volume of the cone is filled when the water reaches a height of 2 inches?
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This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 4. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/4/preparation.html ; accessed 29/July/2021.
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