Photo AI
3 Four points A, B, C and D are shown on the scale diagram below - OCR - GCSE Maths - Question 3 - 2017 - Paper 1
Question 3
3 Four points A, B, C and D are shown on the scale diagram below. Scale: 1 cm represents 5 m (a) On the diagram, construct and mark the two points that are • the s... show full transcript
Worked Solution & Example Answer:3 Four points A, B, C and D are shown on the scale diagram below - OCR - GCSE Maths - Question 3 - 2017 - Paper 1
Step 1
On the diagram, construct and mark the two points that are the same distance from A and B
Answer
To find the points equidistant from A and B, draw the perpendicular bisector of line segment AB. This line will represent all points that are equidistant from A and B. Mark these points on the diagram.
Step 2
On the diagram, construct and mark the two points that are 15m from C
Answer
From point C, draw a circle with a radius of 3 cm (since 1 cm represents 5 m, 15m corresponds to 3 cm). This circle will intersect the perpendicular bisector at two points, which represent the locations that are 15m from C.
Step 3
Explain why there is only one position where Monty can plant his tree.
Answer
The only point where the conditions of being equidistant from A and B and 15m away from C intersect is unique. Since both the construction lines (the perpendicular bisector and the circle around C) are precise geometric constructs, their intersection provides a single, definitive location for planting the tree.