Mathematics 0580 · IGCSE · Length and midpoint

Length and midpoint — practice question

B has coordinates (-3, 1) and D has coordinates (-5, 9). BD is one diagonal of kite ABCD. The ratio of the diagonal lengths BD : AC = 2 : 3.
(a)[5]

Work out the length of AC. Write your answer as a surd in simplest form.

(b)[2]

Find the coordinates for the midpoint of BD.

(c)[4]

Find an equation of AC. Write your answer in the form $y=mx+c$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Therefore, \(3\sqrt{17}\).” …

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