Gradient of Straight Line
Gradient of Straight Line
TGM Original Questions
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.
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Answer:\(m_{AB}\) and \(m_{CD}\) are undefined; \(m_{BC}=m_{AD}=-1/3\). Thus both pairs of opposite sides are parallel. Distinct nonvertical lines are parallel exactly when their gradients are equal; distinct vertical lines are parallel too.
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