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4MA1/1F Jun 2020, Question 4: Polygons

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

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The question, in short

For a five-sided polygon, name it, measure an angle x, mark parallel sides with arrows, and decide whether two given right-angled triangles are similar, justifying the choice.

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

Part (a) · 1 mark

State the mathematical term for a five-sided polygon.

  1. 1A polygon with five sides is called a pentagon.

Answerpentagon

Part (b) · 1 mark

Use a protractor to find the size of the angle labelled x.

  1. 1The angle marked x is measured to be 85 degrees.

Answer85 (accept 83 to 87)

Part (c) · 1 mark

Add arrows (>>) to the diagram to show which two sides are parallel.

  1. 1Identify the two sides that are parallel and mark both with arrows (>>).

Answerparallel sides marked

Part (d) · 1 mark

Decide whether triangles A and B are similar and give a reason for your decision.

  1. 1Similar triangles have all matching sides in the same ratio
  2. 2Compare matching sides: 12 ÷ 4 = 3
  3. 3But 5 ÷ 3 = 1.67…, not 3
  4. 4No, because 12 ÷ 4 = 3 but 5 ÷ 3 does not equal 3

AnswerNo, because 12 ÷ 4 = 3 but 5 ÷ 3 does not equal 3

Stuck on a step? Read the free lesson: Polygons

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