Question

Which of these is a correct step in constructing an angle bisector?

use a straightedge to measure the bisected angles

use a compass to join the point where the arcs cross the vertex

use a compass to draw two equal arcs from the intersection points of a previous arc and the legs

use a straightedge to draw arcs which intersect at a point

Answer 1

Well, hopefully you know that you can't use a straightedge to measure an angle, so you can rule out the first one. You also can't use a straightedge to draw a reliable arc, so you can rule out the last one. The leaves the two compass options.

The second one doesn't really make any sense, so let's look at the third one. If you draw an arc from the vertex then each of the intersection points with the legs will be the same distance from the vertex. If you draw an arc from each of those points then the intersection points of those arcs will be the same distance from each leg, so drawing a line from the vertex through those points will form an angle bisector.

Answer 2

the second one makes a lil sence but the third one is the correct one.