Question

which figure shows the next step to construct a congruent angle at r?

Explanation:

Step1: Recall angle - congruence construction steps

To construct a congruent angle at point R, after drawing an arc with the same radius as the arc in the given angle at the vertex of the new angle (point R), the next step is to measure the distance between the intersection points of the arc with the sides of the given angle and then mark the same distance on the arc drawn at R.

Step2: Analyze the options

The correct figure will show using a compass to measure the distance between the intersection points S and T of the arc with the sides of the given angle and then transferring that distance to the arc drawn at R.

Answer:

The figure that shows using a compass to measure the distance between the intersection points of the arc and the sides of the given angle and then marking that distance on the arc at R is the correct next - step figure. Without seeing the actual options clearly (since no option identifiers like A, B, C, D are provided), the key is to look for the figure with a compass set to the length between the two intersection points of the arc and the sides of the given angle and then being used to mark a point on the arc at R.