Question

8 multiple choice 2 points a student is constructing the angle bisector of ∠pqr. after placing the compass point on q, what is the correct next step? draw an arc that intersects both rays of the angle. draw a line through q perpendicular to pr. draw a circle centered at q. draw and arc only across ray qp. 9 multiple choice 2 points which statement is always true about the angle bisector of ∠xyz? it creates two complementary angles. it creates two congruent angles. it creates two supplementary angles. it creates two right angles.

Explanation:

Step1: Recall angle - bisector construction

To construct the angle - bisector of an angle $\angle PQR$, after placing the compass point on $Q$, we draw an arc that intersects both rays $QP$ and $QR$ of the angle. This is the first step in the standard angle - bisector construction.

Step2: Recall the property of an angle - bisector

The definition of an angle - bisector is a ray that divides an angle into two congruent angles. So, the angle - bisector of $\angle XYZ$ always creates two congruent angles.

Answer:

1. Draw an arc that intersects both rays of the angle.
2. It creates two congruent angles.