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4MA1/2F Jun 2018, Question 4: Coordinates and Plotting Points

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks

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The question, in short

Using a square grid with points A, B and C marked, find C's coordinates, measure BC in centimetres, and place point D so ABCD forms a parallelogram.

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

Part (a) · 1 mark

State the coordinates of point C from the grid.

  1. 1Read the coordinates of point C from the grid.
  2. 2C is located at (2, −1).

Answer(2, −1)

Part (b) · 1 mark

Use a ruler to find how long BC is, answering in centimetres.

  1. 1Measure the distance between B and C on the grid in centimetres.
  2. 2The length of BC is approximately 3.6 cm.

Answer3.6 (accept 3.4 to 3.8)

Part (c) · 1 mark

Mark and label point D on the grid so that ABCD is a parallelogram.

  1. 1To form a parallelogram ABCD, vector AB must equal vector DC.
  2. 2Point A is at (0, 1), B is at (3, 1), so vector AB is (3, 0).
  3. 3Point C is at (2, −1), so to find D, subtract vector (3, 0) from C: (2 − 3, −1 − 0) = (−1, −1).
  4. 4Mark point D at (−1, −1) with a cross and label it D.

AnswerD marked at (−1, −1)

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