Algebra 1 5-6 Complete Lesson: Parallel and Perpendicular Lines

3 (2 ratings)

by Matthew Richardson

| 26 QuestionsNote 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.

1

2

1

5 pts

Solve It! If you copied the graph, could you draw a new line that would not intersect the other lines in the graph?

Yes

No

2

10 pts

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.

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

4

10 pts

Problem 2 Got It?

A

B

C

5

5

10 pts

Problem 2 Got It?

A

B

C

6

6

10 pts

Problem 3 Got It?

A

B

C

D

7

7

10 pts

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:

A

B

C

D

8

10 pts

Which equation below has a graph that is parallel to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

9

10 pts

Which equation below has a graph that is perpendicular to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

10

10 pts

Which equation below has a graph that is parallel to the graph of the equation given?

y = 6x

y = 6x - 2

Both of the equations above

None of these

11

10 pts

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.

y = 4x + 11

y = -4x + 11

y = (1/4)x + 11

y = (-1/4)x + 11

12

10 pts

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.

y = x + 1

y = -x + 1

y = -x - 1

y = x - 1

13

5 pts

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

14

5 pts

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

15

5 pts

Vocabulary: The two numbers in the pair are opposite reciprocals.

True

False

16

10 pts

Open-Ended: Write equations of two parallel lines.

17

10 pts

Compare and Contrast: How is determining if two lines are parallel similar to determining if they are perpendicular? How are the processes different?

18

10 pts

Review Lesson 5-5: What is the x-intercept of the line given by the equation?

(4, 4)

(7, 1)

(8, 0)

19

10 pts

Review Lesson 5-5: What is the y-intercept of the line given by the equation?

(4, 4)

(2, 6)

(0, 8)

(8, 0)

20

10 pts

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.

21

10 pts

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.

22

10 pts

Review Lesson 5-3: Write an equation in slope-intercept form of the line that passes through the given points.

23

10 pts

Vocabulary Review: What is the product of a number and its reciprocal ?

1

100

-1

0

24

10 pts

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 __?__.

25

100 pts

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.

26

10 pts

Reflection: Math Success

Add to my formatives list

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