Algebra 1 5-6 Complete Lesson: Parallel and Perpendicular Lines
By Matt Richardson
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Last updated about 2 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.
5
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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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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3.
Problem 1 Got It?
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4.
Problem 2 Got It?
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5.
Problem 2 Got It?
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6.
Problem 3 Got It?
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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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8.
Which equation below has a graph that is parallel to the graph of the equation given?
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9.
Which equation below has a graph that is perpendicular to the graph of the equation given?
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10.
Which equation below has a graph that is parallel to the graph of the equation given?
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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.
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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.
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13.
Vocabulary: The two numbers in the pair are opposite reciprocals.
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14.
Vocabulary: The two numbers in the pair are opposite reciprocals.
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15.
Vocabulary: The two numbers in the pair are opposite reciprocals.
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16.
Open-Ended: Write equations of two parallel lines.
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17.
Compare and Contrast: How is determining if two lines are parallel similar to determining if they are perpendicular? How are the processes different?
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18.
Review Lesson 5-5: What is the x-intercept of the line given by the equation?
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19.
Review Lesson 5-5: What is the y-intercept of the line given by the equation?
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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.
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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.
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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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23.
Vocabulary Review: What is the product of a number and its reciprocal ?
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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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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.
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26.
Reflection: Math Success