It can be a line a curve or a region 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 A 2 Find the locus of points that are 3 cm from the line AB ID: 673465
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Slide1
LOCISlide2
A locus is a set of points that satisfy a rule.
It can be a line, a curve or a region.Slide3
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.Slide4
A
2
Find the locus of points that are 3 cm from the line AB.
B
The locus is made from two straight lines and two semicircles.Slide5
3
Find the locus of points that are the same distance from the line AB as they are from the line AC.
A
B
C
The locus is the bisector of the angle BAC.Slide6
4
Find the locus of points that are the same distance from the point A as they are from the point B.
A
B
The locus is the perpendicular bisector of the line AB. Slide7
5
Find the locus of points that are equidistant from two given intersecting straight lines.
A
B
The locus is made from two straight lines that bisect the angles.
C
DSlide8
6
The wheel is rolled along the ground.
Draw the locus of the point P.
Locus of P
PSlide9
P
Locus of P
7
The equilateral triangle is rolled along the ground.
Draw the locus of the point P.Slide10
8
Two 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 pointsSlide11
9
Construct the locus of points that are 3 cm from triangle ABC.
A
B
CSlide12
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.
RSlide13
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