T Madas What do we mean

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

1 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. 4 m 1 m 2 m 6 m © T Madas

1 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. 2 m 4 m 1 m 2 m 6 m © T Madas

1 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. 2 m 4 m 1 m 2 m Locus 1 m 2 m 6 m © T Madas

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. 8 m 2 m Locus 12 m © T Madas

8 9 10 11 12 12 13 1 3 5 2 4 1 3 1 0 0 2 1 7 m 0 0 2 1 3 4 m 3 5 4 6 5 7 6 8 7 9 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. Use your ruler to find the points that are exactly 2 m from the top and bottom walls. © T Madas

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. 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 3 4 5 7 m 6 7 8 9 10 11 12 13 14 15 16 17 18 4 m 0 2 Use your ruler to find the points that are exactly 2 m from the left and right walls. © T Madas

4 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. 7 m What happens at the corners? Is this correct? © T Madas

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 Locus 7 m What happens at the corners? Is this correct? © T Madas

Find all the POINTS which are 3 cm from A A B Construct the locus of the points which are equidistant from A and B © T Madas

Find all the POINTS which are 3 cm from B A B Construct the locus of the points which are equidistant from A and B © T Madas

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

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

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

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

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

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 5 cm D Locus B 45° 7 cm C © T Madas

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 A 5 cm D Lo B us c 7 cm C © T Madas

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 A 5 cm D Lo B us c 7 cm C © T Madas