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2. 10 m 6 m What do we mean by the word locus? [plural “loci ”] It is a region which satisfy certain conditions. The diagram opposite shows a scale diagram of a garden, in the scale 1 m = 1 cm. A sprinkler is placed in the middle of the garden. The sprinkler can water the lawn within 2 m of where it is placed. Shade the area that gets watered. 2 m Locus

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4. 6 m 4 m The diagram below shows a scale diagram of a garden, in the scale 1 m = 1 cm. A sprinkler can water the lawn within 2 m of where it is placed. Two sprinklers are placed in positions shown. Shade the area that gets watered. 1 m 2 m 1 m 2 m

5. © T Madas 6 m 4 m The diagram below shows a scale diagram of a garden, in the scale 1 m = 1 cm. A sprinkler can water the lawn within 2 m of where it is placed. Two sprinklers are placed in positions shown. Shade the area that gets watered. 1 m 2 m 1 m 2 m

6. © T Madas 6 m 4 m The diagram below shows a scale diagram of a garden, in the scale 1 m = 1 cm. A sprinkler can water the lawn within 2 m of where it is placed. Two sprinklers are placed in positions shown. Shade the area that gets watered. 1 m 2 m 1 m 2 m Locus

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8. 12 m 8 m The diagram below shows a scale diagram of a rectangular garden, in the scale 1 m = 1 cm. Four trees are planted in the corners of the garden. Grass is to be planted in the garden so it is at least 2 m from each tree. Shade the area where the grass is to be planted. 2 m Locus

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10. 7 m The diagram below shows the plan of a house using the scale 1 m = 1 cm. Using the same scale shade the locus of all the points which are within 2 m from the house. 4 m 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Use your ruler to find the points that are exactly 2 m from the top and bottom walls.

11. © T Madas 7 m The diagram below shows the plan of a house using the scale 1 m = 1 cm. Using the same scale shade the locus of all the points which are within 2 m from the house. 4 m 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Use your ruler to find the points that are exactly 2 m from the left and right walls.

12. © T Madas 7 m The diagram below shows the plan of a house using the scale 1 m = 1 cm. Using the same scale shade the locus of all the points which are within 2 m from the house. 4 m What happens at the corners? Is this correct?

13. © T Madas 7 m The diagram below shows the plan of a house using the scale 1 m = 1 cm. Using the same scale shade the locus of all the points which are within 2 m from the house. 4 m What happens at the corners? Is this correct?

14. © T Madas 7 m The diagram below shows the plan of a house using the scale 1 m = 1 cm. Using the same scale shade the locus of all the points which are within 2 m from the house. 4 m What happens at the corners? Is this correct?

15. © T Madas 7 m The diagram below shows the plan of a house using the scale 1 m = 1 cm. Using the same scale shade the locus of all the points which are within 2 m from the house. 4 m What happens at the corners? Is this correct? Locus

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17. A B Find all the POINTS which are 3 cm from A Construct the locus of the points which are equidistant from A and B

18. A B Find all the POINTS which are 3 cm from B Construct the locus of the points which are equidistant from A and B

19. © T Madas A B Find all the POINTS which are 4 cm from A Construct the locus of the points which are equidistant from A and B

20. © T Madas A B Find all the POINTS which are 4 cm from B Construct the locus of the points which are equidistant from A and B

21. © T Madas A B Find all the POINTS which are 5 cm from A Construct the locus of the points which are equidistant from A and B

22. © T Madas A B Find all the POINTS which are 5 cm from B Construct the locus of the points which are equidistant from A and B

23. © T Madas A B Where do the points which are equidistant from A and B lie ? Construct the locus of the points which are equidistant from A and B

24. © T Madas B Construct the locus of the points which are equidistant from A and B A Locus

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26. ABCD is a rectangle with AB = 5 cm and BC = 7 cm. Find the locus of the points inside the rectangle which are within 4 cm of B and closer to AB than BC A B C D 5 cm Locus 7 cm 45°

27. © T Madas A B C D 5 cm Locus 7 cm ABCD is a rectangle with AB = 5 cm and BC = 7 cm. Find the locus of the points inside the rectangle which are within 4 cm of B and equidistant from A and B

28. © T Madas A B C D 5 cm Locus 7 cm ABCD is a rectangle with AB = 5 cm and BC = 7 cm. Find the locus of the points inside the rectangle which are 4 cm from B and equidistant from A and B

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