Q:

Megan is constructing the bisector of AB¯¯¯¯¯. She has already constructed two arcs as shown.What should Megan do for her next step?Use the straightedge to draw XY←→.Place the point of the compass on point A and draw an arc, using AX as the width for the opening of the compass.Place the point of the compass on point X and draw an arc, using ​ AX ​ as the width for the opening of the compass.Use the straightedge to draw AX←→ and BX←→.

Accepted Solution

A:
Use the straightedge to draw XYâ†â†’. Megan has already drawn an arc using A as a center and the distance from A to X as the radius. Then without changing the compass setting, has drawn a second arc using B as the center. As a result, Megan has two intersections, one above the line labeled X and one below the line labeled Y. All she needs to do is construct a line joining those two points to get her perpendicular bisector.