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 what angle bisector means is to cut the given angle in half and draw a straight line that split the angle evenly. So given to what choices you have which of those make the most sense in drawing a straight line that cuts the triangle's angle evenly?

Answer 2

D

Answer 3

Good job it is D.

Answer 4

Arcs do not come from the straightedge. It takes a compass to draw arcs.

1) "A" From the vertex, use the compass to draw an arc that intersects both legs.
2) "B1" and "B2" From the intersection of the arc just drawn ("A"), and each of the legs, draw an equal sized arc, making sure it is big enough that these two new arcs intersect each other twice.
3) "C" From the two intersections of the two matching arcs ("B1" and "B2"), use the straightedge to connect the points of intersection, creating an intersection with the original arc ("A").
4) All three points of intersection should lie on the angle bisector.

The answer is C.

Answer 5

A straightedge doesn't measure anything. Answer A is no good.
A compass is not used to join points. Answer B is no good.
A straightedge is not used to draw arcs. Answer D is no good.

We ARE running out of choices.