by Rosmah Abdullah 2007

We already learn the concept of two-dimensional loci & know how to use :

•The ruler

•The compass

•Set of rectangles

To draw a circle and construct the locus of points.

Intersection of two loci can be :

•A point

•A set of points

•A line

•A region

Which satisfies the conditions of both loci.

Diagram below shows a square SPMR. With sides 8 cm.

Construct the following loci.

a. X is the locus of points that are equidistant from point S and M.

b. Y is the locus of points that are 5cm from P.

c. Mark the intersection of the two loci as K.

S P

R M8 cm

Diagram below shows a square SPMR. With sides 8 cm.

Construct the following loci.

a. X is the locus of points that are equidistant from point S and M.

b. Y is the locus of points that are 5cm from P.

c. Mark the intersection of the two loci as K.

S P

R M8 cm

Locus X

Diagram below shows a square SPMR. With sides 8 cm.

Construct the following loci.a. X is the locus of points that are equidistant from point S and M.

b. Y is the locus of points that are 5cm from P.c. Mark the intersection of the two loci as K.

S P

R M8 cm

Locus Y

5 cm

Locus X

5 cm

Diagram below shows a square SPMR. With sides 8 cm.

Construct the following loci.a. X is the locus of points that are equidistant from point S and M.

b. Y is the locus of points that are 5cm from P.

c. Mark the intersection of the two loci as K.

S P

R M8 cm

K

Locus Y

Locus X

E

B

D

C F

Diagram 2 in the answer space shows four isosceles triangles, ADE,EBF and DFC. X, Y and Z are three moving points in the diagram.

a. X moves such that its equidistant from the straight line AD and DF By using the letters in the diagram, state the locus of X.

b. On the diagram, draw

a. The locus of Y such that CD = CY

b. The locus of Z such that its distance from A and B are the same.

c. Hence, mark with the symbol O all the intersections of the locus of Y and the locus of Z. A

A

E

B

D

C F

Locus X

A

E

B

D

C Y/F

Locus X

Locus Y

A

E

B

D

C F

Locus X

Locus Z

Locus Y

A

E

B

D

C F

Locus X

Locus Z

Locus Y

B

CD

3 cm

5 cmA

B

CD

3 cm

5 cmA

1.5 cm

1.5 cm

Locus M

B

CD

3 cm

5 cmA

1.5 cm

1.5 cm

Locus MLocus N

B

CD

3 cm

5 cmA

1.5 cm

1.5 cm

Locus MLocus N

3 cmD

CB

A

2 cm

Locus P

3 cmD

CB

A

2 cm

Locus P

Locus N

3 cmD

CB

A

2 cm

Locus P

Locus N