The figure below shows the parallelogram $ABCD$ in the Cartesian plane. Find the gradients of the

Question

The figure below shows the parallelogram $ABCD$ in the Cartesian plane. Find the gradients of the straight lines $AB$, $CD$, $BC$ and $AD$. Based on your answers in (i), write down ONE condition which guarantees that the two straight lines are parallel.

Accepted Answer

(i) $m_{AB}$ undefined, $m_{CD}$ undefined, $m_{BC}=-\dfrac13$, $m_{AD}=-\dfrac13$ (ii) Distinct straight lines with equal gradients are parallel

Gradient of Straight Line

Gradient of Straight Line

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