Illustrative Mathematics - Geometry - Unit 6 - Lesson 12

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7 Questions
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1.
Main Street is parallel to Park Street. Park Street is parallel to Elm Street. Elm is perpendicular to Willow.

How does Willow compare to Main?
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2.
The line which is the graph of y=2x-4 is transformed by the rule (x,y)\rightarrow(-x,-y).

What is the slope of the image?
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3.
Select all equations whose graphs are lines perpendicular to the graph of 3x+2y=6
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4.
Match each line with a perpendicular line.
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the line through (3,1) and (1,4)
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y=\frac{1}{5}x+7
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y-1=-2.5(x+3)
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5.
The graph of  y=-4x+2 is translated by the directed line segment AB shown.
What is the slope of the image?
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6.
Select all points on the line with a slope of -\frac{1}{2} that go through the point (4,-1).
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7.
One way to define a circle is that it is the set of all points that are the same distance from a given center.

How does the equation (x-h)^{2}+(y-k)^{2}=r^{2} relate to this definition? Draw a diagram if it helps you explain.
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This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/12/index.html ; accessed 29/July/2021.

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