Question

3 multiple choice 14 points which illustration shows the correct construction of an angle bisector? 1) image of three rays with an x mark, 2) image of three rays, 3) image of three rays with a curve and an x mark, 4) image of three rays with two x marks options: 1, 4, 2, 3

Explanation:

Step1: Recall angle bisector construction

To construct an angle bisector, we typically use a compass to draw arcs from the vertex and the sides, then find the intersection. The correct illustration should show the bisector (a ray) splitting the angle into two equal parts, with construction marks (arcs or crosses) indicating the steps.

Step2: Analyze each option

• Option 1: Doesn't show proper arc intersections for bisector.
• Option 2: Just three rays, no construction marks, so not a constructed bisector.
• Option 3: The arc and lines don't indicate bisecting.
• Option 4: The construction marks (arcs/crosses) show the steps to bisect the angle, and the middle ray splits the angle into two equal parts, matching the angle bisector construction.

Answer:

1. Option 4