Question 17 — IGCSE 0580 Oct/Nov 2025 Paper 22
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Co-ordinate geometry · Cartesian coordinates (2D). Worth 11 marks.
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Question text
17 B is the point (-3, 1) and D is the point (-5, 9).
BD is a diagonal of the kite ABCD.
(a) The ratio of the lengths of the diagonals BD : AC = 2 : 3.
W ork out the length of AC.
Give your answer as a surd in its simplest form.
................................................. [5]
(b) Find the coordinates of the midpoint of BD.
( ...................... , ...................... ) [2]
(c) The diagonal AC of the kite passes through the midpoint of BD.
Find an equation of AC.
Give your answer in the form y = mx+c.
y = ................................................ [4]
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