The scale diagram shows the positions of town A and town B - OCR - GCSE Maths - Question 16 - 2017 - Paper 1
Question 16
The scale diagram shows the positions of town A and town B.
Scale: 1 cm represents 10 miles
Lucy’s house is nearer to town A than to town B.
Her house is exactly 5... show full transcript
Worked Solution & Example Answer:The scale diagram shows the positions of town A and town B - OCR - GCSE Maths - Question 16 - 2017 - Paper 1
Step 1
Draw Circles for Distance from Town B
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Answer
To represent Lucy's house being exactly 50 miles from town B, draw a circle with a radius of 5 cm (since 1 cm represents 10 miles) centered at point B.
Step 2
Construct Perpendicular Bisector of Segment AB
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Answer
Determine the positions of towns A and B on the diagram. Find the midpoint of segment AB and draw a perpendicular bisector. This line will indicate all points equidistant from towns A and B.
Step 3
Identify Region for Lucy's House
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Answer
Lucy’s house must be under the region defined by the circle around B and within the area closer to A than to B. This implies that Lucy's house lies on one side of the perpendicular bisector of AB.
Step 4
Final Representation
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Answer
Shade or highlight the area on the diagram that represents all possible locations of Lucy’s house, indicating that it is closer to town A than town B, and within the circle around B.
