Question

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←→.

Answer 1

Kalahira is correct but the letters at the end might confuse you.

Correct answer:

Use the straightedge to draw XY←→.

Answer 2

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.