Geometry 3-4 Parallel and Perpendicular Lines

by Matthew Richardson

| 18 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! Jude and Jasmine leave school together to walk home. Then Jasmine cuts down a path from Schoolhouse Road to get to Oak Street and Jude cuts down another path to get to Court Road. What conjecture can you make about Oak Street and Court Road?

3

4

3

10 pts

Problem 1 Got It? Can you assemble the pieces to form a picture frame with opposite sides parallel?

Yes

No

4

10 pts

Explain.

5

6

5

10 pts

Problem 2 Got It? In Problem 2, could you also conclude a ∥b?

Yes

No

6

10 pts

Explain.

7

10 pts

Design: Draw a diagram to model the situation.

Main street intersects Avenue A and Avenue B.

Avenue A is parallel to Avenue B.

Avenue A is also perpendicular to Main Street.

Be sure to include all relevant details.

8

10 pts

Consider the item above.

How are Avenue B and Main Street related?

They are parallel.

They are perpendicular.

They are supplementary.

9

9

10 pts

In the diagram, lines a, b, and c are coplanar. What conclusion can you make about lines a and b? Explain.

10

10

10 pts

Vocabulary: Explain why the phrase in a plane is not necessary in Theorem 3-8.

11

11

10 pts

Error Analysis: Sally sketched coplanar lines m, n, and r on her homework paper. She claims that it shows that lines m and n are parallel. What other information do you need about line r in order for Sally's claim to be true? Explain.

12

12

10 pts

Review Lesson 3-3: Determine the value of x for which a∥b.

124

27

71

53

13

13

10 pts

Review Lesson 3-3: Determine the value of x for which a∥b. Enter only a number.

14

15

14

5 pts

Review Lesson 1-4.

acute

obtuse

right

15

5 pts

Review Lesson 1-4.

acute

obtuse

right

16

50 pts

Additional Vocabulary Support: Parallel and Perpendicular Lines.

Categorize the figures described in each scenario. Each category should contain only one item.

- Two lines in the same plane that never intersect.
- A line that crosses two lines in the same plane at two different points.
- What two lines do that cross at a point.
- Two lines that cross at a 90° angle.

- intersect
- parallel
- perpendicular
- transversal

17

40 pts

Theorem 3-10: Perpendicular Transversal Theorem

Complete the items on the canvas.

18

10 pts

Reflection: Math Success

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