Question

this diagram is a straightedge and compass construction of the bisector of angle bac. only angle bac is given. explain the steps of the construction in order. include a step for each new circle, line, and point.

Explanation:

Answer:

1. Place the compass at point A. Draw a circle that intersects rays AB and AC at points B and D respectively.
2. Place the compass at point B. Set the compass width to a length greater than half the distance between B and D. Draw a circle.
3. Without changing the compass width, place the compass at point D. Draw a second - circle. Let the two circles intersect at points E and F.
4. Use the straightedge to draw the line AF. Line AF is the angle - bisector of angle BAC.