9/21: Unit 1, Day 3
Table of Contents
- Activities
- 1.8.2 Compass and Straightedge Constructions
- 1.5.3 Bisect This (Part 1)
- 1.5.3 Bisect This (Part 2)
- 1.5.3 Bisect This (Part 3)
- Cool Down
- Cool Down: 1.5.3 Bisect This (Part 4)
1.8.2 Compass and Straightedge Constructions
You should be familiar now with the Geogebra tools that exist. [br][br]We have learned how to create circles, use the compass tool to make circles of the same size, in other words that have the same [u][b][color=#ff00ff]radius[/color][/b][/u], and how to use the [color=#ff00ff][b][u]intersections[/u][/b][/color] of circles to construct various things.[br][br]For each figure below, use the compass and straightedge tools to make the construction. Then, explain your steps as if you were teaching it to a new student in the class.[br][br]#1-3 are must-do's! #4-5 are challenge problems if you finish early.
1. Equilateral Triangle
Explain your steps:
2. Regular Hexagon
Explain your steps:
3. Perpendicular Bisector
Explain your steps:
4. Challenge: Square
Explain your steps:
5. Challenge: Square Inscribed in a Circle
Explain your steps:
Cool Down: 1.5.3 Bisect This (Part 4)
1. Angle ABC is dynamic. You can move point A so that the angle can move between 0 and 360 degrees.[br]Use your construction tools (compass and straightedge -- the tools in this applet) to construct the angle bisector of angle ABC. Label a point on your angle bisector as point D.[br][br]2. Verify your work is correct by measuring angles CBD and DBA and doing a drag test.