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Chapter 8 - Loci in Two Dimensions

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Which of the following illustrate the locus of point P that moves such that it is always 3 cm from a fix point A?

a)
b)
c)
d)
2.

The diagram above shows a straight line, PQ. X is a point which moves such that it is always equidistant from point P and point Q.


Which of the following shows the locus of X?

a)
b)
c)
d)
3.

Based on the diagram above, determine the locus of point X that are 2 units from straight line PQ.

a)

VW

b)

RS, PQ

c)

RS, TU

d)

PQ, TU

4.

The locus of the diagram above is

a)

Square

b)

Circle

c)

Triangle

d)

Straight line

5.

In the diagram above, RSTUVW is a regular hexagon with sides of 4 cm.


P is the locus of a point which moves such that it is always equidistant from point R and point V. Which of the following is locus P?

a)

T

b)

W

c)

ST

d)

WT

6.

The diagram above shows a circle centred at O with radius of 5 cm drawn on an equilateral triangle, PQR.


X is the locus of a point which moves such that its distance from O is always 5 cm. Y is the locus of a point which moves such that it is always equidistant from point Q and point R. Which of the following points is the intersection of locus X and locus Y?

a)

A

b)

B

c)

C

d)

D

7.

The diagram above shows a square PQRS.


QS is the locus of a moving point X in PQRS. Which statement describes QS correctly?

a)

Point X moves such that it is at a constant distance from point P.

b)

Point X moves such that it is always equidistant from point Q and point R.

c)

Point X moves such that it is always equidistant from QP and QR.

d)

Point X moves such that it is at a constant distance from PS.

8.

Point K moves such that its distance from the y-axis is always 3 cm while point L moves such that its distance from the x-axis is always 4 cm. Which of the following points is the intersection of locus K and locus L?

a)

A

b)

B

c)

C

d)

D

9.

PS is a straight line with length of 16 cm.

Locus Y is 15 cm from point P and moves such that its is always equidistant from point Q and point R. Which of the following points is locus Y?

a)

A

b)

B

c)

C

d)

D

10.

Point Y moves such that it is always equidistant from point P and point Q.


Which of the following shows the locus for the above statement?

a)
b)
c)
d)