Question

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

Explanation:

To determine which picture shows angle bisection, we recall that an angle bisector divides an angle into two equal parts. In the construction of an angle bisector, we typically use arcs: first, an arc centered at the vertex intersecting both sides of the angle, then arcs of equal radius centered at those intersection points intersecting at a point on the bisector.

• Option A: The arcs and markings suggest the middle ray divides the angle into two equal parts (consistent with angle bisector construction: equal - radius arcs from the sides' intersections, and the bisector ray).
• Option B: The arc placements and markings do not follow the standard angle - bisecting construction (the arcs are not placed correctly to ensure equal angles).
• Option C: The markings on the ray and the arc do not align with the correct angle - bisecting construction.
• Option D: The arc and marking placements are incorrect for angle bisection.

Answer:

A. The picture in option A shows the bisection of an angle.