Question

What are the steps for using a compass and straightedge to construct the bisector of ∠R?

Two rays share a common endpoint at R. One ray is horizontal, pointing to the left. The second ray is vertical in an upward direction.

Drag the steps and drop them in order from start to finish.

Answer 1

The steps for using a compass and straightedge to construct the bisector of <R are:

1. Place the point of the compass on point R and draw an arc that intersects the sides of <R. Label the points of intersection as points S and T.

2. Place the point of the compass on point S and draw an arc in the interior of the angle.

3. Without changing the opening of the compass, place the point of the compass on point T and draw another arc in the interior of the angle.

4. Label the intersection of the arcs in the interior of the angle as point U.

5. Use the straightedge to draw RU.

Answer 2

The steps for using a compass and straigtedge to construct the bisector of <R are:

1. Place the point of the compass on point R and draw an arc that intersects the sides of <R. Label the points of intersection as points S and T.

2. Place the point of the compass on point S and draw an arc in the interior of the angle.

3. Without changing the opening of the compass, place the point of the compass on point T and draw another arc in the interior of the angle.

4. Label the intersection of the arcs in the interior of the angle as point U.

5. Use the straightedge to draw RU.