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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 c... show full transcript

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

Step 1

1. Construct the Perpendicular Bisector of AB

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Answer

Using a compass, place the point on A and draw an arc above and below the line AB. Repeat this step with the point on B, ensuring that the arcs intersect.

Draw a straight line through the intersection points of the arcs. This line is the perpendicular bisector of AB.

Step 2

2. Construct the Perpendicular Bisector of BC

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Answer

Repeat the process for segment BC. Place the compass point on B and draw arcs above and below line BC. Then, place the compass point on C and draw intersecting arcs.

Draw a straight line through the intersection of the arcs to create the perpendicular bisector of BC.

Step 3

3. Identify the Position of the Boat

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Answer

The position of the boat is where the two perpendicular bisectors intersect. Mark this point clearly and label it as the position of the boat.

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