Question

WILL GIVE MEDAL AND FAN PLEASE HELP IM STUCK
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 intersects QR at M and QP at L. An arc of the same measure and the same orientation as arc LM is drawn from point P to cut QP at N.

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:

(Read below for more)

Answer 1

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.

Answer 2

@ilovepuppieslol

Answer 3

this looks kind of confusing hm

Answer 4

@.Sam.

Answer 5

@Loser66 @whpalmer4 please help :)

Answer 6

it is thats why I am stuck rip.

Answer 7

ughh

Answer 8

ok all help

Answer 9

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.

Answer 10

@jonathan34 could you give a bit of an explanation? Just so I know why.