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4MA1/2F Jun 2018, Question 12: Area of a Triangle

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Using a quadrilateral ABCD drawn on a centimetre grid, find the area of triangle ABC with units, justify why angles ACD and CAB match, and give the line equation through D and C.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 3 marks

Calculate the area of triangle ABC from the grid, giving the correct units.

  1. 1Area of a triangle = ½ × base × height.
  2. 2From the grid, the base and height are 2 cm and 3 cm.
  3. 3Area = 0.5 × 2 × 3 = 3 cm²

Answer3 cm²

Part (b) · 1 mark

State a reason that explains why angle ACD equals angle CAB.

  1. 1angle ACD and angle CAB are alternate angles

Answeralternate angles

Part (c) · 1 mark

Give the equation of the straight line passing through points D and C.

  1. 1Read the grid: D and C both have y-coordinate 4.
  2. 2Two points with the same y-coordinate lie on a horizontal line.
  3. 3Every point on that line has y-coordinate 4.
  4. 4y = 4

Answery = 4

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