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What will and should you be able to do and understand?

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What will and should you be able to do and understand?

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-You will be able to construct parallel and perpendicular lines
-You will understand that parallel, perpendicular lines, and special quadrilaterals can be constructed with a straightedge and compass.

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Given: line ℓ and point P not on ℓ

Construct: line m through P with m ‖ ℓ

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Constructing a Parallel Line Through a Given Point 128-2.21

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Previously, the lecturer in the video constructed line m through point P with m ∥ ℓ. Why must lines ℓ and m be parallel?
Add comment to this post with your own words.

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Construct Parallel Lines                            ----Problem 1---- 

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Construct Parallel Lines                            ----Problem 1---- 

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Use a compass and straightedge to construct the line through point J that is parallel to AB.
Copy this figure on a sheet of paper and complete this problem.

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Construct Parallel Lines                         ----Problem 2----

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Construct Parallel Lines                         ----Problem 2----

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Use a compass and straightedge to construct the line through point J that is parallel to AB.
Copy this figure on a sheet of paper and complete this problem.

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Which theorem justifies that the line through the two intersections in the video will be perpendicular to the other line?

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Through a point not on a line, there is one and only one line perpendicular to the given line.

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Construct Perpendicular Line from a Point on a Line

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Construct Perpendicular Line from a Point on a Line

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1. Please watch this video

2. Practice on a sheet of paper by following the instruction from the video.

3. Don't forget to participate in the discussion#2!

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The perpendicular from a point on a line

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Construct Perpendicular Line from a Point on a Line                              ----Problem 1----                            

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Construct Perpendicular Line from a Point on a Line                              ----Problem 1----                            

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Use a compass and straightedge to construct the line that is perpendicular to ℓ at point P.
Copy this figure on a sheet of paper and complete this problem.

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Construct Perpendicular Line from a Point on a Line                              ----Problem 2----                            

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Construct Perpendicular Line from a Point on a Line                              ----Problem 2----                            

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Construct Perpendicular Line from a Point NOT on a Line

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Construct Perpendicular Line from a Point NOT on a Line

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1. Please watch this video

2. Practice on a sheet of paper by following the instruction from the video.

3. Again, don't forget to share your thoughts in the discussion#3!

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Perpendicular through a Point NOT on a Line

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Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.

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Construct Perpendicular Line from a Point NOT on a Line                              ----Problem 1 to 2  ----       

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Construct Perpendicular Line from a Point NOT on a Line                              ----Problem 1 to 2  ----       

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Use a compass and straightedge to construct the line through point P that is perpendicular to RS.
Copy the figures on a sheet of paper and complete the problems.

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What will happen when you change the compass setting from point C to point D? Why?

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Use this link to take the exit ticket!
https://goo.gl/forms/ekiiKTUiHzODtRfg1

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Exit Ticket-Constructing parallel and Perpendicular Lines

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This ticket is to access your mastery of this lesson. This will not be in your grade book, but your performance helps me measure your comprehension. Thank you!

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You need to either print this handout out or stop by my classroom to pick up 1.

This needs to be done and turned in the next time you see me.

As always, you are welcome to my tutorials for help!