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4MA1/2FR Jan 2020, Question 7: Length of a Line Segment

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

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The question, in short

Using a grid with points P, Q and R marked, give coordinates, complete a rectangle PQRS, and locate the midpoint of PR.

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

Part (a) · 1 mark

State the x and y values for point Q from the grid.

  1. 1Read the coordinates of point Q from the grid.
  2. 2(2, 3)

Answer(2, 3)

Part (b) · 1 mark

Determine the coordinates of S so that P, Q, R and S form a rectangle.

  1. 1P is at (−3, 3), Q is at (2, 3), R is at (2, −1).
  2. 2For PQRS to be a rectangle, S must align vertically with P and horizontally with R.
  3. 3So S has the same x-coordinate as P: −3, and the same y-coordinate as R: −1.
  4. 4(−3, −1)

Answer(−3, −1)

Part (c) · 2 marks

Calculate the coordinates of the point halfway between P and R.

  1. 1P is at (−3, 3), R is at (2, −1).
  2. 2Midpoint x-coordinate: (−3 + 2) / 2 = −1 / 2 = −0.5.
  3. 3Midpoint y-coordinate: (3 + (−1)) / 2 = 2 / 2 = 1.
  4. 4(−0.5, 1)

Answer(−0.5, 1)

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