Geometry 3-8 Guided Practice: Slopes of Parallel and Perpendicular Lines

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Solve It! You and a friend enjoy exercising together. One day, you are about to go running when your friend receives a phone call. You decide to start running and tell your friend to catch up after the call. The red line represents you and the blue line represents your friend. Will your friend catch up?

Yes.

No.

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Explain.

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Take Note: What do you know about the slopes of parallel lines? Sketch an example pair of parallel lines on the canvas.

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Take Note: If a line has a slope of 5, what is the slope of a line that is parallel to it? Enter only a number.

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Problem 1 Got It?

A

B

C

D

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Take Note: What do you know about the slopes of perpendicular lines? Sketch an example pair of perpendicular lines on the canvas.

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Take Note: If a line has a slope of 5, what is the slope of a line that is perpendicular to it? Enter only a simplified fraction.

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Problem 2 Got It?

A

B

C

D

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Take Note: Summarize the process for determining if two lines are perpendicular from the equations of the lines.

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Problem 3 Got It? If a given line has a slope of 2, what is the slope of a perpendicular line?

-2

Undefined

-\frac{1}{2}

2

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Problem 3 Got It?

A

B

C

D

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Problem 4 Got It?

A

B

C

D

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Problem 5 Got It? What is an equation of the line representing the player's path?

y-90=\frac{1}{3}(x-40)

y-90=3(x-40)

y-40=\frac{1}{3}(x-90)

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Geometry 3-8 Guided Practice: Slopes of Parallel and Perpendicular Lines

Explain.

Take Note: What do you know about the slopes of parallel lines? Sketch an example pair of parallel lines on the canvas.

Take Note: If a line has a slope of 5, what is the slope of a line that is parallel to it? Enter only a number.

Problem 1 Got It?

Take Note: What do you know about the slopes of perpendicular lines? Sketch an example pair of perpendicular lines on the canvas.

Take Note: If a line has a slope of 5, what is the slope of a line that is perpendicular to it? Enter only a simplified fraction.

Problem 2 Got It?

Take Note: Summarize the process for determining if two lines are perpendicular from the equations of the lines.

Problem 3 Got It? If a given line has a slope of 2, what is the slope of a perpendicular line?

Problem 3 Got It?

Problem 4 Got It?

Problem 5 Got It? What is an equation of the line representing the player's path?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Explain.

Take Note: What do you know about the slopes of parallel lines? Sketch an example pair of parallel lines on the canvas.

Take Note: If a line has a slope of 5, what is the slope of a line that is parallel to it? Enter only a number.

Problem 1 Got It?

Take Note: What do you know about the slopes of perpendicular lines? Sketch an example pair of perpendicular lines on the canvas.

Take Note: If a line has a slope of 5, what is the slope of a line that is perpendicular to it? Enter only a simplified fraction.

Problem 2 Got It?

Take Note: Summarize the process for determining if two lines are perpendicular from the equations of the lines.

Problem 3 Got It? If a given line has a slope of 2, what is the slope of a perpendicular line?

Problem 3 Got It?

Problem 4 Got It?

Problem 5 Got It? What is an equation of the line representing the player's path?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?