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22 The diagram represents a coastline - OCR - GCSE Maths - Question 22 - 2023 - Paper 3
Question 22
22 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... show full transcript
Worked Solution & Example Answer:22 The diagram represents a coastline - OCR - GCSE Maths - Question 22 - 2023 - Paper 3
Step 1
Construct the Perpendicular Bisector of AB
Answer
- Using a compass, place the point at A and draw an arc above and below the line segment AB.
- Without changing the compass width, place the point at B and draw another arc that intersects the arcs drawn in step 1.
- Label the intersection points of the arcs as D and E.
- Draw a straight line through points D and E. This line is the perpendicular bisector of AB.
Step 2
Construct the Perpendicular Bisector of BC
Answer
- Repeat the steps above for the line segment BC.
- Using a compass, place the point at B and draw arcs above and below the line segment BC.
- Repeat at point C to create two intersection points labeled F and G.
- Draw a straight line through points F and G. This line is the perpendicular bisector of BC.
Step 3