Question

bisect ∠rpq by following these steps. 1. move the compass center to vertex p and draw an arc that intersects \overline{pq} and \overline{pr}. draw an arc that intersects \overline{pq} and \overline{pr}. hint

Explanation:

Step1: Position the compass

Place the compass needle at point \( P \) (the vertex of \( \angle RPQ \)).

Step2: Draw the arc

Adjust the compass width to a suitable length (it doesn't need to be specific, just enough to intersect both \( \overline{PQ} \) and \( \overline{PR} \)). Then, rotate the compass to draw an arc that crosses \( \overline{PQ} \) at one point and \( \overline{PR} \) at another point. This arc should be centered at \( P \) and intersect both sides of the angle.

Answer:

To bisect \( \angle RPQ \) in this step, with the compass center at \( P \), draw an arc (using the compass) that intersects \( \overline{PQ} \) and \( \overline{PR} \). Visually, this means creating a curved line from the compass centered at \( P \) that touches both \( PQ \) and \( PR \) (as shown in the diagram's compass setup, completing the arc to intersect both sides).