NumericalEasy1 mark
3(iii)
In the given graph ABCD is a parallelogram. Using the graph, answer the following:
calculate the coordinates of ‘P’, the point of intersection of the diagonals AC and BD.
Topic: Section / midpoint / centroid
Previous-year question practice database
Answer
Exam answer
The diagonals of a parallelogram bisect each other, so P is the midpoint of AC.
A(3,3), C(−4,−2).
P = ((3−4)/2, (3−2)/2) = (−1/2, 1/2).
Answer: P = (−0.5, 0.5).
Explanation
Use the midpoint formula because the diagonals of a parallelogram bisect one another.
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