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A locus is a set of points that satisfy a rule. It can be a line, a curve or a region. A locus is a set of points that satisfy a rule. It can be a line,

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Presentation on theme: "A locus is a set of points that satisfy a rule. It can be a line, a curve or a region. A locus is a set of points that satisfy a rule. It can be a line,"— Presentation transcript:

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2 A locus is a set of points that satisfy a rule. It can be a line, a curve or a region. A locus is a set of points that satisfy a rule. It can be a line, a curve or a region.

3 A 1 Find the locus of points that are 5 cm from the point A. The locus is a circle centre A, radius 5 cm.

4 A B The locus is made from two straight lines and two semicircles.

5 A B C The locus is the bisector of the angle BAC.

6 A B The locus is the perpendicular bisector of the line AB.

7 A B The locus is made from two straight lines that bisect the angles. C D

8 6The wheel is rolled along the ground. Draw the locus of the point P. Locus of P P

9 P 7The equilateral triangle is rolled along the ground. Draw the locus of the point P.

10 8Two goats are tethered by a piece of rope to opposite corners of a field. The pieces of rope are 9 meters long. The field is 10 metres by 14 meters. Find the locus of points that can be reached by both goats. Locus of points

11 A B C

12 10 Construct the locus of points inside the triangle that are A B C nearer to the line AB than to the line AC less than 4 cm from the point B Label the locus of points R. First construct the bisector of angle CAB. Next draw the arc of a circle radius 4 cm with B as centre. R

13 11 Construct the locus of points inside the triangle that are nearer to A than to B nearer to the line AD than to the line AB Label the locus of points R. A B C D First construct the perpendicular bisector of AB. Next construct the bisector of angle DAB. R


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