Question 9 — IGCSE 0580 Oct/Nov 2023 Paper 43
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Geometry · Geometrical terms and vocabulary. Worth 14 marks.
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Question text
9 A is the point (0, 2), B is the point (3, 3) and C is the point (4, 0).
(a) Determine if triangle ABC is scalene, isosceles or equilateral.
You must show all your working.
[4]
(b) (i) Find the equation of the line AC.
Give your answer in the form y = mx+c.
y = ................................................ [3]
(ii) Find the equation of the perpendicular bisector of AC.
Give your answer in the form y = mx+c.
y = ................................................ [4]
© UCLES 2023 0580/43/O/N/23
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(iii) ABCD is a kite.
The point D has coordinates (w, 4w+1).
Find the coordinates of D.
( ..................... , ..................... ) [3]
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