Algebra 1 5-6 Complete Lesson: Parallel and Perpendicular Lines
By Matt Richardson
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Last updated almost 3 years ago
26 Questions
Note from the author:
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.
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5
Question 1
1.
Solve It! If you copied the graph, could you draw a new line that would not intersect the other lines in the graph?
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Question 2
2.
Solve It! Can you draw a line that will intersect one of the lines in such a way that the intersection forms four congruent angles? Explain.
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Question 3
3.
Problem 1 Got It?
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Question 4
4.
Problem 2 Got It?
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Question 5
5.
Problem 2 Got It?
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Question 6
6.
Problem 3 Got It?
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Question 7
7.
Problem 4 Got It? What equation could the architect enter to represent a second beam whose graph will pass through the corner at (0, 10) and be parallel to the existing beam. An equation that represents the existing beam is:
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Question 8
8.
Which equation below has a graph that is parallel to the graph of the equation given?
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Question 9
9.
Which equation below has a graph that is perpendicular to the graph of the equation given?
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Question 10
10.
Which equation below has a graph that is parallel to the graph of the equation given?
G.GPE.5
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Question 11
11.
What is an equation of the line that passes through (3, -1) and is parallel to the equation below?
Give your answer in slope-intercept form.
G.GPE.5
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Question 12
12.
What is an equation of the line that passes through (2, -3) and is perpendicular to y = x - 5?
Give your answer in slope-intercept form.
G.GPE.5
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Question 13
13.
Vocabulary: The two numbers in the pair are opposite reciprocals.
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Question 14
14.
Vocabulary: The two numbers in the pair are opposite reciprocals.
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Question 15
15.
Vocabulary: The two numbers in the pair are opposite reciprocals.
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Question 16
16.
Open-Ended: Write equations of two parallel lines.
G.GPE.5
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Question 17
17.
Compare and Contrast: How is determining if two lines are parallel similar to determining if they are perpendicular? How are the processes different?
G.GPE.5
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Question 18
18.
Review Lesson 5-5: What is the x-intercept of the line given by the equation?
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Question 19
19.
Review Lesson 5-5: What is the y-intercept of the line given by the equation?
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Question 20
20.
Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
A.REI.10
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Question 21
21.
Review Lesson 5-5: Graph the equation using x- and y-intercepts. Identify the intercepts clearly.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
A.REI.10
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Question 22
22.
Review Lesson 5-3: Write an equation in slope-intercept form of the line that passes through the given points.
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Question 23
23.
Vocabulary Review: What is the product of a number and its reciprocal ?
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Question 24
24.
Use Your Vocabulary: Complete each sentence with parallel or perpendicular.
parallel
perpendicular
The railroad tracks in Picture A are __?__.
The window bars in Picture B that do NOT meet are __?__.
The roads in Picture C are __?__.
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Question 25
25.
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.
