Interactive Geometry Activities for Learning
Engage in interactive geometry activities such as constructing angles without a protractor, drawing equilateral triangles with a compass and ruler, and understanding properties of equilateral triangles. Explore methods for creating 45°, 60° angles, and more. Dive into crazy constructions to challenge your spatial reasoning skills without erasing construction lines.
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Presentation Transcript
Rally Coach Recap Partner A solves their first problem. Partner B watches and listens. Then checks, coaches and critiques the answer. Partner B solves their first problem. Partner A watches and listens. Then checks, coaches and critiques answer. This is repeated until each person has answered all their questions.
How could we construct a 45 angle without a protractor? In your pairs have a go now
Think back How could we draw an equilateral triangle using a compass and ruler?
How could we construct a 60 angle without a protractor? In your pairs have a go now http://www.mathopenref.com/constangle60.html http://www.mathopenref.com/constangle60.html
Another way Constructing an Equilateral Angle 5
How do we know that line segment AB, PB and PA are congruent? How do we know that Triangle APB is an equilateral triangle? Reason: Equilateral triangles are those with all three sides the same length. Reason: They were both drawn with the same compass width. How do we know Angle APB is 60 degrees? Reason: All three interior angles of an equilateral triangle have a measure of 60 degrees. 9
What about a 30 angle? What do you know that could help you? http://www.mathopenref.com/constangle30.html
Crazy Constructions Follow the instructions as carefully as you can to try and create a pattern. You must not rub out your construction lines!
