Question

1. which of the following pictures shows the bisection of an angle? a. b. c. d. 10. ______

Explanation:

Step1: Recall angle bisector construction

Angle bisector construction involves creating an arc from the vertex that intersects both sides of the angle, then creating two more arcs from those intersection points that intersect each other, and drawing a line from the vertex through that intersection. The correct diagram should show the arcs consistent with this construction.

Step2: Analyze each option

• Option A: The arcs don't seem to follow the standard angle bisector construction (arcs from the sides' intersections are not shown properly).
• Option B: The arcs here are drawn such that from the vertex, an arc intersects both sides, and then arcs from those two points intersect, and the bisector is drawn. This matches the angle bisector construction.
• Option C: The arcs are not in the correct positions for angle bisector construction.
• Option D: The arcs are not consistent with the angle bisector construction steps.

Answer:

B. (The option with the correct arc markings for angle bisector construction)