Question

multiple choice 14 points
what is the first step in constructing the angle bisector of angle a?
image of angle a with points b, c, d and arcs
a draw ray \\(\overline{ad}\\).
b draw a line segment connecting points b and c.
c from points b and c, draw equal arcs that intersect at d.
d from point a, draw an arc that intersects the sides of the angle at points b and c

Explanation:

To construct an angle bisector, the first step is to draw an arc from the vertex (point A) that intersects both sides of the angle at two points (B and C). This is the initial step to set up the construction. Option A is the final step (drawing the bisector ray), Option B is not part of the standard angle - bisector construction steps, Option C is a subsequent step after getting points B and C. So the first step is described in Option D.

Answer:

D. From point A, draw an arc that intersects the sides of the angle at points B and C