PQ and QR are two sides of a parallelogram.

(a)
Complete the drawing of the parallelogram PQRS.
(b)
QR also forms one side of an isosceles triangle QRT in which QR = RT and $\angle QRT$ is an obtuse angle. Complete the drawing of the triangle QRT within the grid.

Properties and criteria of parallelograms Recognising triangles and quadrilaterals 中文

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Worked solution

29(a)

1. Determine the relative position of S from P using the vector QR

In a parallelogram PQRS, the opposite sides are equal and parallel. Therefore, the vector from P to S must be the same as the vector from Q to R. Let $\vec{QR}$ be represented by its horizontal and vertical grid steps. Point S is found by applying these same steps starting from P.

2. Draw the parallelogram

Mark point S on the grid. Draw straight lines connecting P to S and R to S to complete the parallelogram PQRS.

Answer

Point S is plotted such that $\vec{PS} = \vec{QR}$ or $\vec{RS} = \vec{QP}$ , and the parallelogram PQRS is drawn.

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PQ and QR are two sides of a parallelogram.

Worked solution

29(a)

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