Question

dan uses a compass to draw an arc from q as shown. he wants to construct a line segment through r that makes the same angle with qr as pq. as shown below. which figure shows the next step to construct a congruent angle at r?

Explanation:

Step1: Recall angle - congruence construction

To construct a congruent angle at point R, after drawing an arc from Q, the next step is to place the compass on R and draw an arc of the same radius as the one drawn from Q.

Step2: Analyze the options

We need to find the figure where a compass - centered arc is drawn from R with the appropriate radius.

Answer:

The figure where a compass is placed on R and an arc is drawn with the same radius as the arc drawn from Q (the first arc in the construction process) is the correct next - step figure. Without seeing the actual options clearly (as the image is not fully legible for details), the general rule is that the arc from R should be of the same radius as the arc from Q and should intersect the relevant rays in a way that sets up for the final step of constructing the congruent angle.