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Loci 1.) Draw the locus of points always 4cm away from a point A. 2.) Draw a line 4cm long. Find the locus of a point always 3cm away. 3.) Draw a triangle. Draw the locus of this shape 2cm away. 4.) A light can shine up to 5.5m away draw the region the light shines. 1m = 1cm.
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Loci 1.) Draw the locus of points always 4cm away from a point A. 2.) Draw a line 4cm long. Find the locus of a point always 3cm away. 3.) Draw a triangle. Draw the locus of this shape 2cm away. 4.) A light can shine up to 5.5m away draw the region the light shines. 1m = 1cm. 5.) Two points are 6cm apart, draw the locus of points equidistant from both points. 6.) Two lights A and B are 3m apart if both lights can shine up to 2m away Draw the diagram and shade the region that both lights cover. Use 1cm = 1m. 7.) Two dogs are tied up, 5m apart. If the 1st dog has a leash of 3m and the 2nd a leash of 2.5m. Draw and shade the region where both dogs can be. Use 1cm = 1m. 8.) A building 6m by 5m is to have a fence that is always 2m away from the building. Draw the locus of points always 2m from the building. Use 1m = 1cm.
1.) 2.) 3cm 4cm 4cm 4.) 3.) 2cm A L 5.5m
6.) 7.) 5.) 6cm 8.) A B 2m 3m 2.5m 2m 6m B B A A 5m 3m 5m 2m
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
(3.) The Locus of points equidistant from 2 points: (Perpendicular Bisector) A B
10 10 9 9 8 8 7 7 6 6 5 5 4 4 3 3 2 2 1 1 0 0 1 1 10 10 8 8 9 9 7 7 3 3 6 6 2 2 4 4 5 5 0 0 1cm = 1m Oak Tree C 1 fence is built from A to B another is built from B to C Elm Tree Fir Tree A B The treasure is buried an equal distance from the fir tree and Oak tree and 2.5m from the elm tree. The treasure is buried in a possible 2 places an equal distance from the AB and BC and it is 3m from C. Draw a rectangle 3cm by 4cm. Find the locus of points that is always 2cm from the sides Construct an equilateral triangle with sides 5cm. Find the locus of points that is always 1cm from the sides