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Private Library
Geometry 3-6 Constructing Parallel and Perpendicular Lines
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by Matthew Richardson
| 20 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.
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
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The outlined content above was added from outside of Formative.
zoom in
2
10 pts
Problem 1 Got It?
A
B
C
D
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
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.
4. Ensure that your screenshot fills the canvas.
The outlined content above was added from outside of Formative.
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)
The outlined content above was added from outside of Formative.
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)
The outlined content above was added from outside of Formative.
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.
The outlined content above was added from outside of Formative.
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.
The outlined content above was added from outside of Formative.
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.
zoom in
zoom in
11
20 pts
Compare and Contrast: How are the constructions in Problems 3 and 4 similar? How are they different?
zoom in
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.
• Alternate exterior