Loci 1 Draw the locus of points always

Loci 1. ) Draw the locus of points always 4 cm away from a point A. 2. ) Draw a line 4 cm long. Find the locus of a point always 3 cm away. 3. ) Draw a triangle. Draw the locus of this shape 2 cm away. 4. ) A light can shine up to 5. 5 m away draw the region the light shines. 1 m = 1 cm. 5. ) Two points are 6 cm apart, draw the locus of points equidistant from both points. 6. ) Two lights A and B are 3 m apart if both lights can shine up to 2 m away Draw the diagram and shade the region that both lights cover. Use 1 cm = 1 m. 7. ) Two dogs are tied up, 5 m apart. If the 1 st dog has a leash of 3 m and the 2 nd a leash of 2. 5 m. Draw and shade the region where both dogs can be. Use 1 cm = 1 m. 8. ) A building 6 m by 5 m is to have a fence that is always 2 m away from the building. Draw the locus of points always 2 m from the building. Use 1 m = 1 cm.

1. ) 2. ) 3 cm 4 cm A 4. ) 3. ) 2 cm 5. 5 m L

6. ) 2 m 5. ) A 3 m 6 cm A 2 m B 8. ) 7. ) 6 m 3 m A 2. 5 m 5 m B 5 m 2 m B

LOCI A locus is a set of points that obey a given rule. (1. ) The locus of points a constant distance from a fixed point. P

(2. ) The locus of points a constant distance from a line.

(3. ) The Locus of points equidistant from 2 points: (Perpendicular Bisector) A B

(4. ) The Locus of points equidistant from two lines. B A C

10 Oak Tree 9 Elm Tree 8 7 6 5 4 3 Fir Tree 2 1 0 0 1 2 3 4 5 6 7 8 9 10 1 cm = 1 m 1 fence is built from A to B another is built from B to C 10 C 9 8 7 6 5 4 3 2 1 A B 0 7 8 9 10 3 4 5 6 0 1 2 The treasure is buried an equal distance from the fir The treasure is buried in a possible 2 places an equal distance from the tree and Oak tree and AB and BC and it is 3 m from C. 2. 5 m from the elm tree. Draw a rectangle 3 cm by 4 cm. Find the locus of points that is always 2 cm from the sides Construct an equilateral triangle with sides 5 cm. Find the locus of points that is always 1 cm from the sides