one is line parallel to horizontal lines and passing through the mid of the parallelogram and the second one passing through the mid and parallel to the other two sides of the parallelogram.
Another side QR is drawn making an acute angle with side PQ.
Now side QR is extended towards left.
Draw an arc from point Q such that it cuts QP at M and RQ produced at L. Without changing the compass width i.e distance between nib and pencil draw an arc from point R such it cuts RQ at N.Now measure the Distance LM using compass.Place the compass at N and cut an arc that you have drawn from point R.Mark this pont as T.Draw a line passing from R and T .Then measure the length of PQ using compass.Put your compass at R and cut an arc on the line RT produced at S.Then the line PQ ║RS and PQ =RS.
Why this happens because
∠ MQL=∠NRT [ corresponding angles taking QR as Transversal]
∵PQ║RS and PQ=RS [PQRS is a parallelogrm]
Out of four students who has written the explanation
Student 2 has written not fully but correct explanation.
Student 2: 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 an arc which cuts the previous arc at T. Adjust the width of the compass equal to PQ. Fix the compass at R and draw an arc. Draw a line segment from R that passes through T and intersects the second arc at S.
Step-by-step explanation:
A parallelogram is a two dimensional quadrilateral that has two opposite sides to be equal and parallel. The sum of its internal angles is .
Given; parallelogram PQRS
<PQR = <SRN = acute angle
QP = RS
QR = PS
The next step involve locating point S to complete the diagram. To locate point S and complete the figure, the procedure of student 2 would give appropriate location and accurate dimensions.
Another side QR is drawn making an acute angle with side PQ.
Now side QR is extended towards left.
Draw an arc from point Q such that it cuts QP at M and RQ produced at L. Without changing the compass width i.e distance between nib and pencil draw an arc from point R such it cuts RQ at N.Now measure the Distance LM using compass.Place the compass at N and cut an arc that you have drawn from point R.Mark this pont as T.Draw a line passing from R and T .Then measure the length of PQ using compass.Put your compass at R and cut an arc on the line RT produced at S.Then the line PQ ║RS and PQ =RS.
Why this happens because
∠ MQL=∠NRT [ corresponding angles taking QR as Transversal]
∵PQ║RS and PQ=RS [PQRS is a parallelogrm]
Out of four students who has written the explanation
Student 2 has written not fully but correct explanation.
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