Question

alex wants to construct a line segment through r that makes the same angle with as. the figure below shows a step to construct a congruent angle at r. which figure shows the next step to construct a congruent angle at r?

Explanation:

Step1: Recall angle - construction steps

To construct a congruent angle, after drawing an arc from the vertex of the given angle and from the new - vertex (point R in this case), the next step is to measure the distance between the intersection points of the arc with the sides of the given angle using a compass. Then, with the same compass - setting, draw an arc from the intersection point of the arc and the ray at R to intersect the other arc.

Answer:

The figure where with the compass set to the distance between the intersection points of the arc and the sides of the angle at the given vertex (near O), an arc is drawn from the intersection point of the arc and the ray at R to intersect the other arc at R is the correct next - step figure. Without seeing the actual options clearly, the general description of the correct next step is as described above. If there were options, we would identify the one that matches this description.