Geometry 3-8 Complete Lesson: Slopes of Parallel and Perpendicular Lines

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A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

G.GPE.5

Draggable item		Corresponding Item
The __?__ of \frac{2}{3} is \frac{3}{2}.		reciprocate (VERB)
The blade in the __?__ saw moved back and forth as it cut through the iron.		reciprocal (NOUN)
After your friend helps you with you homework, you __?__ by helping your friend with his chores.		reciprocating (ADJECTIVE)

Draggable item		Corresponding Item
The __?__ of \frac{2}{3} is \frac{3}{2}.		reciprocate (VERB)
The blade in the __?__ saw moved back and forth as it cut through the iron.		reciprocal (NOUN)
After your friend helps you with you homework, you __?__ by helping your friend with his chores.		reciprocating (ADJECTIVE)

Geometry 3-8 Complete Lesson: Slopes of Parallel and Perpendicular Lines

Geometry 3-8 Complete Lesson: 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?

A(-8, 3), B(-4, 11), C(-1, 3), D(1, 2)\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 5), B(2, -1), C(7, -2), D(10, 16)\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 1), B(4, 1), C(5, 9), D(2, 6)\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

What is an equation of the line perpendicular to the line y = -4x + 1 that contains (2, -3)?

Error Analysis: Your classmate tries to find an equation for a line parallel to y = 3x - 5 that contains (-4, 2). What is your classmate's error?

Compare and Contrast: What are the differences between the equations of parallel lines and the equations of perpendicular lines?

Review Lesson 3-7: Write an equation for the line containing the points.

Review Lessons 1-5 and 2-6: Categorize each diagram on the left based on whether ∠1 and ∠2 are congruent.

Vocabulary Review: Use the diagram below to complete each statement on the right with either parallel or perpendicular from the left.

Use Your Vocabulary: Match each incomplete statement on the left with the word on the right that correctly completes it.

Reflect: Math Success

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?

A(-8, 3), B(-4, 11), C(-1, 3), D(1, 2)\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 5), B(2, -1), C(7, -2), D(10, 16)\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 1), B(4, 1), C(5, 9), D(2, 6)\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

What is an equation of the line perpendicular to the line y = -4x + 1 that contains (2, -3)?

Error Analysis: Your classmate tries to find an equation for a line parallel to y = 3x - 5 that contains (-4, 2). What is your classmate's error?

Compare and Contrast: What are the differences between the equations of parallel lines and the equations of perpendicular lines?

Review Lesson 3-7: Write an equation for the line containing the points.

Review Lessons 1-5 and 2-6: Categorize each diagram on the left based on whether ∠1 and ∠2 are congruent.

Vocabulary Review: Use the diagram below to complete each statement on the right with either parallel or perpendicular from the left.

Use Your Vocabulary: Match each incomplete statement on the left with the word on the right that correctly completes it.

Reflect: Math Success

A(-8, 3), B(-4, 11), C(-1, 3), D(1, 2)
\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 5), B(2, -1), C(7, -2), D(10, 16)
\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 1), B(4, 1), C(5, 9), D(2, 6)
\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(-8, 3), B(-4, 11), C(-1, 3), D(1, 2)
\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 5), B(2, -1), C(7, -2), D(10, 16)
\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.

A(3, 1), B(4, 1), C(5, 9), D(2, 6)
\overleftrightarrow{AB} and \overleftrightarrow{CD} are __________.