The figure below shows a partially completed set of steps to construct a rhombus PQRS:

Two equal sides of a rhombus PQRS are drawn. PQ that makes an acute angle with the horizontal side QR. An arc drawn from Q inte

The next step is to construct side PS of the figure so that side PS is parallel and congruent to side QR. The chart below shows the steps each of the four students took to draw side PS:

Student 1 Fix the compass at M and adjust its width to point L. Without changing the width of the compass, move the compass to N and draw a small arc on the big arc. Label the point of intersection of the two arcs as T. Draw a line segment from P that passes through T. Adjust the width of the compass to QR and draw an arc from point P to intersect line PT at S.
Student 2 Fix the compass at M and draw an arc that intersects side QP at point T. Without changing the width of the compass, move the compass to R and draw an arc. Adjust the width of the compass to QR and draw an arc from point P. Draw a line segment from R that passes through T and intersects the second arc at S.
Student 3 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 which intersects QR at point T. 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 which intersects QR at point T. Draw a line segment from R that passes through T and intersects the arc at S.

Which student used the correct steps to construct rhombus PQRS? (1 point)

Student 2

Student 4

Student 3

Student 1

It appears that the description for Student 3 provides the correct steps to construct side PS of rhombus PQRS. Therefore, **Student 3** used the correct steps for the construction.Student 3 used the correct steps to construct side PS of rhombus PQRS as follows:

1. Fixed the compass at L and adjusted its width to point M.

2. Without changing the width of the compass, moved the compass to R and drew an arc, intersecting QR at point T.

3. Drew a line segment from R that passed through T and intersected the arc at point S.

This process ensures that side PS is both parallel and congruent to side QR, meeting the criteria for constructing a rhombus. The correct use of the compass and sequential steps ensures the accuracy of the construction.