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4MA1/1FR Jun 2020, Question 3: Enlargement

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks

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The question, in short

From five shaded six-sided shapes on a square grid, identify the congruent pair, draw a similar non-congruent shape to B, and name a six-sided shape.

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

Part (a) · 1 mark

Write the letters of the two shapes that are congruent.

  1. 1Identify shapes A and D as having the same size and shape by comparing their side lengths and angles.
  2. 2Confirm that both shapes occupy the same number of grid squares and match exactly when rotated or reflected.
  3. 3Conclude that A and D are congruent.

AnswerA and D

Part (b) · 2 marks

On the grid, draw a shape similar to shape B but not congruent to it.

  1. 1Note that shape B is a 6-sided figure on the grid.
  2. 2To create a similar shape, maintain the same angles and proportional side lengths but change the size.
  3. 3Enlarge shape B by a scale factor (e.g., 2) from a point, ensuring all corresponding sides are in proportion.
  4. 4Draw the new shape with 6 sides, twice as large in each dimension, on the square grid.
  5. 5Verify that the new shape is similar but not congruent to B.

AnswerCorrectly enlarged shape

Part (c) · 1 mark

Give the mathematical name for a shape with 6 sides.

  1. 1Recall that a polygon with six sides is called a hexagon.
  2. 2State the name based on the given information that all shapes have 6 sides.

Answerhexagon

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