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The diagram represents a coastline - OCR - GCSE Maths - Question 5 - 2023 - Paper 6

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The diagram represents a coastline. A, B and C are lighthouses. A boat is - the same distance from A and B - the same distance from AB and BC. Using a ruler and co... show full transcript

Worked Solution & Example Answer:The diagram represents a coastline - OCR - GCSE Maths - Question 5 - 2023 - Paper 6

Step 1

Construct the Perpendicular Bisector of AB

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Answer

  1. Place the compass point on point A and draw an arc above and below line AB.
  2. Without changing the compass width, place the compass point on point B and draw arcs that intersect the previous arcs.
  3. Mark the points of intersection as D and E.
  4. Use a ruler to draw a straight line through points D and E. This line represents the perpendicular bisector of AB.

Step 2

Construct the Perpendicular Bisector of BC

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Answer

  1. Place the compass point on point B and draw an arc above and below line BC.
  2. Without changing the compass width, place the compass point on point C and draw arcs that intersect the previous arcs.
  3. Mark the points of intersection as F and G.
  4. Use a ruler to draw a straight line through points F and G. This line represents the perpendicular bisector of BC.

Step 3

Identify the Position of the Boat

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Answer

  1. The intersection point of the two bisectors (from steps 1 and 2) is the position of the boat.
  2. Clearly label this point as 'Boat'.

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