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4MA1/2F Jun 2021, Question 4: Length of a Line Segment

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

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The question, in short

Using triangle ABC drawn on a coordinate grid, identify point B, classify the triangle, plot point D at (1, −4), and find the midpoint of AB.

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 B as shown on the grid.

  1. 1Read the coordinates of point B from the grid.
  2. 2The x-coordinate is −2, the y-coordinate is 3.
  3. 3(−2, 3)

Answer(−2, 3)

Part (b) · 1 mark

Give the mathematical name for the type of triangle ABC.

  1. 1Observe the side lengths of triangle ABC.
  2. 2Two sides are of equal length.
  3. 3The triangle is isosceles.

AnswerIsosceles

Part (c) · 1 mark

Plot and label point D at coordinates (1, −4) on the grid.

  1. 1Locate x = 1 on the x-axis.
  2. 2Move down to y = −4.
  3. 3Mark the point with a cross and label it D.

Answer(×) at (1, −4)

Part (d) · 2 marks

Calculate the coordinates of the midpoint of the line segment AB.

  1. 1Coordinates of A: (4, 1)
  2. 2Coordinates of B: (−2, 3)
  3. 3Midpoint x-coordinate: (4 + (−2)) ÷ 2 = 2 ÷ 2 = 1
  4. 4Midpoint y-coordinate: (1 + 3) ÷ 2 = 4 ÷ 2 = 2
  5. 5(1, 2)

Answer(1, 2)

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