The Perfect Path
Construct an Angle Bisector
Challenge:The city is designing a new park with two entrances, labeled A and B.
Your job as the park designer is to create a walking path that stays exactly the same distance from both entrances the whole way across the park.In other words, your path must be fair — no one should have to walk farther from their entrance to reach the path than anyone else.Follow these steps:
Step 1: Make sure the Point, Line and Circle tools are visible on the toolbar.
Step 2: Plot the Enterances:
- Select the Point tool and click anywhere in the workspace to create Point A.
- Click again to create B.
- The points are not required to be a certain distance apart.
- Select the Segment between Two Points tool.
- Use the Compass tool to draw circles centers at A and B with the same radius (half of AB)
- Use the the intersect tool to mark where the circles cross
- Use the Line through Two points tool to connect the intersecting points
- Use the Text tool to add a short explanation of how you know the path is equidistance between the two entrances.