Geometry 3-8 Slopes of Parallel and Perpendicular Lines

by Matthew Richardson

| 20 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

10 pts

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

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

4

10 pts

Problem 2 Got It?

A

B

C

D

5

5

10 pts

Problem 3 Got It? If a given line has a slope of 1/2, what is the slope of a perpendicular line?

-1/2

2

-2

Undefined

6

6

10 pts

Problem 3 Got It?

A

B

C

D

7

7

10 pts

Problem 4 Got It?

A

B

C

D

8

8

10 pts

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

A

B

C

For each set of points below, line AB contains points A and B. Line CD contains points C and D. Are Line AB and line CD parallel, perpendicular, or neither?

9

10 pts

A(-8, 3), B(-4, 11), C(-1, 3), D(1, 2)

Lines AB and CD are __________.

parallel

perpendicular

neither parallel nor perpendicular

10

10 pts

A(3, 5), B(2, -1), C(7, -2), D(10, 16)

Lines AB and CD are __________.

parallel

perpendicular

neither parallel nor perpendicular

11

10 pts

A(3, 1), B(4, 1), C(5, 9), D(2, 6)

Lines AB and CD are __________.

parallel

perpendicular

neither parallel nor perpendicular

12

10 pts

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

A

B

C

D

13

13

10 pts

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?

14

10 pts

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

15

10 pts

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

y = -(1/2)x + 3

y = -3x + 2

y = 2x + (1/2)

y = -x + 6

16

16

10 pts

Review Lessons 1-5 & 2-6:

Are ∠1 and ∠2 congruent?

- Diagram A
- Diagram B

- Congruent
- Not contruent

17

17

10 pts

Vocabulary Review: Classify the relationship between the lines.

- a and b
- b and the x-axis
- a and the y-axis
- a and the x-axis

- Parallel
- Perpendicular

18

50 pts

Vocabulary Review: Conisder the conditional statement below and categorize each of the items.

Conditional: If a polygon is a triangle, then the sum of the measures of its angles is 180.

- the sum of the measures of its angles is 180
- If the sum of the measures of the angles of a polygon is 180, then the polygon is a triangle.
- If the sum of the measures of the angles of a polygon is not 180, then the polygon is not a triangle.
- a polygon is a triangle
- If a polygon is not a triangle, then the sum of the measures of its angles is not 180.

- Hypothesis
- Conclusion
- Converse
- Inverse
- Contrapositive

19

19

10 pts

Slopes of Parallel Lines: Classify each statement.

- A
- B
- C
- D

- True
- False

20

10 pts

Reflect: Math Success

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.