Geometry 3-6 Complete Lesson: Constructing Parallel and Perpendicular Lines
By Matt Richardson
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Last updated about 3 years ago
25 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.
20 points
20
Question 1
1.
Solve It!
1. Draw a line m on a sheet of paper.
2. Fold your paper so that line m falls on itself.
3. Label the fold line n.
4. Fold your paper again so that n falls on itself.
5. Label your new fold line p.
6. Take a picture of your paper and upload it to the canvas.
How are m and p related? How do you know?
10 points
10
Question 2
2.
Take Note: Summarize the process of constructing a line parallel to a given line. You may use the canvas to help illustrate your description.
10 points
10
Question 3
3.
Problem 1 Got It?
50 points
50
Question 4
4.
Problem 2 Got It?
1. Complete the construction below on the embedded GeoGebra utility (or at geogebra.org/geometry)
a. Draw a segment.
b. Label its length m.
c. Construct a quadrilateral ABCD with\overleftrightarrow{AB}||\overleftrightarrow{CD}, so that AB=m and CD=2m.
2. Screenshot your final product.
3. Upload your screenshot to the canvas.
4. Ensure that your screenshot fills the canvas.
10 points
10
Question 5
5.
Take Note: Summarize the process of constructing a perpendiculr at a point to a line. You may use the canvas to help illustrate your description.
30 points
30
Question 6
6.
Problem 3 Got It?
1. On paper, use a straightedge 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.
10 points
10
Question 7
7.
Take Note: Summarize The Perpendicular Postulate. You may use the canvas to help illustrate your description.
10 points
10
Question 8
8.
Take Note: Summarize the process of constructing a perpendicular from a point to a line. You may use the canvas to help illustrate your description.
30 points
30
Question 9
9.
Problem 4 Got It?
1. On paper, use a straightedge 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.
10 points
10
Question 10
10.
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.
10 points
10
Question 11
11.
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.
10 points
10
Question 12
12.
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.
10 points
10
Question 13
13.
In problem 3, is segment AC congruent to segment BC? Explain.
10 points
10
20 points
20
Question 15
15.
Compare and Contrast: How are the constructions in Problems 3 and 4 similar? How are they different? You may use the canvas to help illustrate your explanations.
10 points
10
Question 16
16.
Review Lesson 3-5. Find the value of x. Enter only a number.
10 points
10
Question 17
17.
Review Lesson 3-5. Find the value of y. Enter only a number.
5 points
5
Question 18
18.
Review Arithmetic: Simplify the ratio.
5 points
5
Question 19
19.
Review Arithmetic: Simplify the ratio.
Enter only a number.
5 points
5
Question 20
20.
Review Arithmetic: Simplify the ratio.
Enter only a number.
5 points
5
Question 21
21.
Vocabulary Review: True or False: A rectangle has two pairs of parallel segments.
5 points
5
Question 22
22.
Vocabulary Review: True or False: A rectangle has two pairs of perpendicular segments.
10 points
10
Question 23
23.
Vocabulary Review: Consider the diagrams below and categorize each pair of angles.
∠3 and ∠4
∠1 and ∠2
∠5 and ∠6
Alternate exterior
Alternate interior
Corresponding
10 points
10
Question 24
24.
Use Your Vocabulary: Match each statement on the right with the correct form of the word construction.
constructive (ADJECTIVE)
arrow_right_alt
You __?__ sand castles at the beach.
construct (VERB)
arrow_right_alt
The __?__ on the highway caused quite a traffic jam.
construction (NOUN)
arrow_right_alt
The time you spent working on your homework was __?__.
