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4MA1/2F Jan 2021, Question 6: Constructing Triangles

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

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The question, in short

A diagram of a solid prism is shown. Count its vertices and faces, then construct an equilateral triangle ABC with 7 cm sides using ruler and compasses only, showing all construction lines.

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

Part (a) · 1 mark

State how many vertices the prism has.

  1. 1Count the corners of the prism where edges meet.
  2. 2There are 12 vertices.

Answer12

Part (b) · 1 mark

State how many faces the prism has.

  1. 1Count the flat surfaces of the prism.
  2. 2There are 8 faces.

Answer8

Part (c) · 2 marks

Using ruler and compasses only, construct equilateral triangle ABC with sides 7 cm, starting from the given side AB, showing all construction lines.

  1. 1Set compass to length AB = 7 cm.
  2. 2Draw arc from point A above AB.
  3. 3Draw arc from point B above AB.
  4. 4Mark intersection of arcs as point C.
  5. 5Join A to C and B to C with straight lines.
  6. 6Triangle ABC is equilateral with all sides 7 cm and construction arcs shown.

AnswerAn arc of radius 7 cm from A crossing an arc of radius 7 cm from B at C, with AC and BC joined

Stuck on a step? Read the free lesson: Constructing Triangles

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