In the figure below, PQ and QR are drawn to scale.

- (a)
Draw 2 lines, PS and SR so that PQRS is a parallelogram.
- (b)
Measure .
Answer : (b) ___°
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Worked solution
21(a)
1. Identify the properties of a parallelogram to locate point S
In a parallelogram , the opposite sides are parallel and equal in length. Therefore, the vector must be equal to the vector , and must be equal to .
2. Locate point S using grid movements
From point to point , count the number of grid units horizontally. Since and are on the same horizontal line, is purely a horizontal translation to the right. Apply this exact same horizontal translation starting from point to locate point .
3. Draw the required lines
Draw a straight line segment from to , and another straight line segment from to .
A point S is plotted such that PS is parallel and equal to QR, and SR is parallel and equal to PQ. The lines PS and SR are drawn.
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