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Laabri

Illustrative Mathematics - Geometry - Unit 6 - Lesson 12

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Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Select all equations whose graphs are lines perpendicular to the graph of 3x+2y=6

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Match each line with a perpendicular line.

Draggable itemarrow_right_altCorresponding Item

y-4=\frac{2}{3}(x+1)

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the line through (3,1) and (1,4)

the line through (12,4) and (9,19)

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y=\frac{1}{5}x+7

2x-5y=10

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y-1=-2.5(x+3)

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

The graph of  y=-4x+2 is translated by the directed line segment AB shown.

What is the slope of the image?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Select all points on the line with a slope of -\frac{1}{2} that go through the point (4,-1).

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

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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