Geometry 3-6 Constructing 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

2

10 pts

Problem 1 Got It?

A

B

C

D

3

50 pts

Problem 2 Got It?

1. Complete the construction above (just below Formative item 2) on the embedded GeoGebra utility, directly above this item.

2. Screenshot your final product.

3. Upload your screenshot to the canvas.

4. Ensure that your screenshot fills the canvas.

4

30 pts

Problem 3 Got It?

1. On paper, use a straghtedge to draw line EF. (Take a clear picture to document your work)

2. Construct line FG so that line FG is perpendicular to line EF at point F.

Be sure to leave marks as evidence of your construction techniques. (Take a clear picture to document your work)

3. Upload your images to the appropriate locations on the canvas.

5

30 pts

Problem 4 Got It?

1. On paper, use a straghtedge to draw line CX and a point Z not on line CX. (Take a picture to document your work)

2. Construct line ZB so that line ZB is perpendicular to line CX.

Be sure to leave marks as evidence of your construction techniques. (Take a picture to document your work)

3. Upload your images to the appropriate locations on the canvas.

6

10 pts

1. Use GeoGebra or paper with a traditional compass and straightedge to complete the construction below.

2. Take screenshots or pictures to document your process.

3. Add the images to the canvas below in chronological order.

Construction: Draw a line l and a point P not on the line. Construct the line through P parallel to line l.

7

10 pts

1. Use GeoGebra or paper with a traditional compass and straightedge to complete the construction below.

2. Take screenshots or pictures to document your process.

3. Add the images to the canvas below in chronological order.

Construction: Draw line QR and a point S on the line. Construct the line perpendicular to line QR at point S.

8

10 pts

1. Use GeoGebra or paper with a traditional compass and straightedge to complete the construction below.

2. Take screenshots or pictures to document your process.

3. Add the images to the canvas below in chronological order.

Construction: Draw line w and a point X not on the line. Construct the line perpendicular to line w at point X.

9

10

11

20 pts

Compare and Contrast: How are the constructions in Problems 3 and 4 similar? How are they different?

12

13

12

10 pts

Review Lesson 3-5. Find the value of x. Enter only a number.

13

10 pts

Review Lesson 3-5. Find the value of y. Enter only a number.

14

5 pts

Review Arithmetic: Simplify the ratio.

5/10

-(1/2)

1/4

1/2

15

5 pts

Review Arithmetic: Simplify the ratio.

Enter only a number.

16

5 pts

Review Arithmetic: Simplify the ratio.

Enter only a number.

17

5 pts

True or False: A rectangle has two pairs of parallel segments.

True

False

18

5 pts

True or False: A rectangle has two pairs of perpendicular segments.

True

False

19

10 pts

Consider the diagrams above and categorize each pair of angles.

- ∠1 and ∠2
- ∠3 and ∠4
- ∠5 and ∠6

- Alternate exterior
- Alternate interior
- Corresponding

20

10 pts

Reflect: Math Success

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