Question

Help me here for medal!

Answer 1

Nadia draws a portion of a figure, as shown. She wants to construct a line segment through R that makes the same angle with line segment QR as line segment PQ.

A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first but of the same measure and intersects QR. A compass with its ends at points S and T is shown.

Which figure shows the next step to construct a congruent angle at R?
A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first but of the same measure and intersects QR. A line segment RX is drawn that makes the same angle with QR as QP makes with QR. A straight edge is placed along the length of RX. A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first arc but of the same measure and intersects QR. A compass is shown drawing a small arc across the big arc near R. A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first arc but of the same measure and intersects QR. A small arc is drawn across the big arc near R. A straight edge is placed along the small arc. A line segment QR is drawn. PQ is a line segment that makes an obtuse angle of about 120 degrees with QR. An arc, indicating the measure of angle PQR intersects PQ at S and QR at T. Another arc drawn from point R is a reflection of the first arc but of the same measure and intersects QR. A small arc is drawn across the big arc near R. A compass is placed at the point of intersection of the arcs and the compass is shown making another arc below the intersecting arcs.