wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

LOCI IN TWO DIMENSIONS

Total questions: 10

Worksheet time: 25mins

Name
Class
Date
1.

What is the definition of a locus of points?

a)

The sum of two numbers

b)

The product of two numbers

c)

A set of points that satisfy a certain condition or property

d)

The square root of a number

2.

Point X moves 5.5 cm from point O. State the locus of point X.

a)

Circle centered at O with radius 5.5 cm

b)

Circle centered at O with radius 5 cm

c)

Perpendicular bisector of point O with length 5 cm

d)

Pair of parallel lines to the line XO.

3.

A moving point P maintains an equal distance from two parallel lines. Which of the following does the locus of P belong to?

a)

A circle

b)

A straight line

c)

Two parallel lines

d)

Two perpendicular lines

4.

Given two parallel straight lines AB and CD which are 2 cm apart, which of the following dotted lines may represent the locus of a point P such that it is equidistant from AB and CD?

a)
b)
c)
d)
5.

In the figure, ABCD is a square and its diagonals intersect at E. P is a moving point inside or on the square such that P is equidistant from AB and AD. The locus of P is

a)

AE

b)

AC

c)

BE

d)

BD

6.

What shape would be produced by all the points which are 20cm away from a point?

a)

Circle

b)

Discorectangle (rectangle with semicircles on the end)

c)

Straight line

d)

Arc

7.

State the locus of points that are constant distance from a straight line.

a)

a circle

b)

one straight line

c)

two intersecting lines

d)

two parallel lines

8.

Given a line segment AB of length 4 cm, which of the following dotted lines may represent the locus of a point P such that the area of △PAB is always equal to 4 cm2?

a)
b)
c)
d)
9.

The diagram shows a circle with centre O and a radius of 5 cm. The circle is divided into 8 equal parts.


Which two points are intersections of two loci which are always 5 cm from point O and 5 cm from the line LOQ?

a)

L and Q

b)

N and S

c)

M and R

d)

K and P

10.

State the locus of point A that are equidistant from point U and point T.

a)

Perpendicular bisector to the line connecting the point U and point T.

b)

Parallel line between point U and point T.

c)

Parallel lines to the line connecting point U and point T.

d)

Angle bisector between line U and line T.