Illustrative Mathematics - Geometry - Unit 6 - Lesson 12 - Formative Library | Library

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?

A.CED.2

G.GPE.5

1

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?

A.CED.2

G.GPE.5

1

A.CED.2

G.GPE.5

1

Match each line with a perpendicular line.

Draggable item		Corresponding Item
the line through (12,4) and (9,19)		the line through (3,1) and (1,4)
2x-5y=10		y=\frac{1}{5}x+7
y-4=\frac{2}{3}(x+1)		y-1=-2.5(x+3)

A.CED.2

G.GPE.5

1

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

A.CED.2

G.GPE.5

1

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

A.CED.2

G.GPE.5

1

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.

A.CED.2

G.GPE.5

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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Illustrative Mathematics - Geometry - Unit 6 - Lesson 12

Illustrative Mathematics - Geometry - Unit 6 - Lesson 12

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?

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?

Match each line with a perpendicular line.

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

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

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.

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?

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?

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

Match each line with a perpendicular line.

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

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

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.

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?

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?

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

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.

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?

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?

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

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.