Investigating Middle School Mathematics On-Line

C.a.R.
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1. Move the Points A, B, and C. How does the construction change?
2. What happens when the ∠ABC is larger than 180°? You can Click on the browser's Refresh button to reset the construction.
3. See the written step-by-step instructions below.
4. Make this construction using a Compass and Straight Edge.
5. Make this construction using a software program.

Given an ∠ABC, bisect it.
• Choose a convenient radius. Place the center point on B and draw an arc intersecting both rays - BA and BC.
• You need not change the radius. Place the center point at the arcs intersection on BA and draw another arc in the interior of the angle. Repeat for ray BC.
• Mark the point of the arcs intersection within the ∠D.
• Align the straight edge with point B and point D. Draw a line connecting them.
• Line BD now bisects ∠ABC.

1. Line Segment Bisection 1
2. Line Segment Bisection 2

1. Angle Bisection
2. Angle & Line Bisection

From Math Forum: You are mowing a square/rectangular yard, size unknown. You have mowed a 10 foot swath around the perimeter. You are now half done. How big is the yard?