Thursday, February 18, 2010

Constructing Perpendiculars & Different Types of Angles

(For those of you who have been absent or need extra help, go to hstutorials.net (thanks, Taylor from last semester) click on Geometric Constructions to view video explanations). Or more information can be found in your book. See PH #3.7 for examples of how to do construct perpendiculars.

1. On the top half of your paper, construct a perpendicular line through a point NOT on the line.
2. On the bottom half of your paper, construct a perpendicular through a point ON the line.
3. On the top half of the back side, draw a segment. Label it AB. Now construct perpendicular bisectors to divide it into 4 congruent parts.
4. On the bottom half of the back side, draw a line segment so close to the edge of the paper that you can only swing arcs on one side of the segment. Now construct the perpendicular bisector of the segment.
5. On the top half of a second sheet of paper, construct a 60 degree angle.
6. On the bottom half of the second sheet of paper, construct a 45 degree angle. Using the 45 degree angle you just constructed, construct a 22 1/2 (twenty-two and a half) degree angle.
8. On the top half of the back side of the second sheet of paper, construct a 30 degree angle. Using the 30 degree angle you just constructed, construct a 15 degree angle.
9. On the bottom half of the back side of the second sheet of paper, construct a 120 degree angle.
10. On the top half of the 3rd sheet of paper, construct a 75 degree angle.
11. On the bottom half of the 3rd sheet of paper, construct a 52 1/2 degree (fifty-two and a half) angle.
12. On the top half of the back side of the 3rd sheet of paper, construct a 135 degree angle.
13. On the bottom half of the back side of the 3rd sheet of paper, construct a 105 degree angle.

Tomorrow's constructions are going to be a bit confusing. To make them easier, bring in computer paper and colored pencils for tomorrow's constructions. Of course, these are just suggestions and not mandatory. I'm just trying to make it easier for you.

Remember, the Regional playoffs for the boys' basketball team is tonight at 7pm at Flanagan's gymnasium! Extra Credit for attendance. Either find me in the stands or take a picture of you with the teams in the background for proof of your attendance!

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