Question

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 (here at Q) and getting intersection points S and T, we draw an arc with the same radius from the new vertex (R).

Step2: Identify the next step

The next step is to measure the distance between the intersection points (S and T) of the arc with the sides of the given angle using a compass and then transfer that distance to the arc drawn from R. The figure that shows drawing an arc with the compass set to the length of ST from the intersection of the arc and the ray at R is the correct next - step figure.

Answer:

The third figure (as it shows using the compass to transfer the length from the arc at Q to the arc at R)