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4MA1/2F Jun 2022, Question 2: Congruent Shapes

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

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The question, in short

Using seven labelled shapes on a centimetre grid, identify congruent and similar pairs, mark a symmetry line, and calculate a perimeter and an area.

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

Part (a) · 1 mark

State which two of the seven shapes are identical in size and shape.

  1. 1Identify shapes C and E as having the same size and shape by comparing their dimensions and orientation on the grid.
  2. 2Conclude that C and E are congruent.

AnswerC, E

Part (b) · 1 mark

State which two shapes have the same shape but differ in size.

  1. 1Compare the shapes and identify that A and F have the same shape but different sizes.
  2. 2Confirm that A and F are similar but not congruent.

AnswerA, F

Part (c) · 1 mark

Draw the single mirror line on shape F.

  1. 1Locate the line of symmetry on shape F by checking for matching halves.
  2. 2Draw a single line through the centre of shape F where both sides mirror each other.

AnswerCorrect line

Part (d) · 1 mark

Calculate the distance around shape B, in centimetres.

  1. 1Count the outer edges of shape B on the centimetre grid.
  2. 2Add up the lengths: 3 + 1 + 1 + 1 + 1 + 1 + 2 + 1 + 1 = 12.
  3. 3Perimeter of shape B is 12 cm.

Answer12

Part (e) · 1 mark

Calculate the surface space covered by shape G, in square centimetres.

  1. 1Count the number of full squares covered by shape G on the centimetre grid.
  2. 2Total area is 8 square centimetres.

Answer8

Stuck on a step? Read the free lesson: Congruent Shapes

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