The next step is to construct side RS of the parallelogram so that side RS is congruent to side PQ. The chart shows the steps each of the four students took to draw side RS of the parallelogram.

Question

The next step is to construct side RS of the parallelogram so that side RS is congruent to side PQ.  The chart shows the steps each of the four students took to draw side RS of the parallelogram.

anonymous · Answer

Student 1
Fix the compass at L and adjust its width to point M. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the arc at S.
Student 2
Fix the compass at Q and draw an arc that intersects side QP. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the second arc at S.
Student 3
Fix the compass at Q and adjust its width to point P. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the arc at S.
Student 4
Fix the compass at L and adjust its width to point P. Without changing the width of the compass, move the compass to R and draw an arc. Draw a line segment from R that passes through T and intersects the arc at S.