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Quiz Loci in 2D

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

FULL NAME (ALL CAPITAL LETTERS)

4 lines
2.

YOUR CLASS

a)

3C

b)

3H

c)

3O

d)

3S

e)

3Y

3.

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

4.

Nyatakan lokus bagi titik C.

State the locus of point C.

a)

Sebuah bulatan

A circle

b)

Suatu parabola

A parabola

c)

Garis mengufuk

A horizontal line

d)

Garis mencancang

A vertical line

5.

Lakarkan lokus bagi titik C.

Sketch the locus of point C.

a)
b)
c)
d)
6.

Lakarkan lokus bagi titik C.

Sketch the locus of point C.

a)
b)
c)
d)
7.

What is the locus of a coconut falling from a tree?

a)

A vertical line

b)

A horizontal line

c)

A parabola

d)

A circle

8.

Choose the correct locus for a lorry that is driven on a straight highway.

a)

Oval

b)

Straight line

c)

Circle

d)

Arc

9.

The diagram shows a fan where the points M, N, P and R are equidistance from point O.


When the fan is switched on, part of the locus of point P is

a)

the straight line OP.

b)

the straight line NP.

c)

the arc PR with centre O.

d)

the arc NP with centre O.

10.

which is the locus for the movement of the tip of the hours hand of a clock?

a)

Arc

b)

Circle

c)

Curve

d)

Horizontal straight line

11.

A swinging pendulum shows a locus of an arc.

a)

True

b)

False

12.

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

13.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

Parallel Lines

d)

Perpendicular Lines

14.

The set of points (locus) at a given distance from a straight line is _______.

a)

a circle

b)

one straight line

c)

two intersecting lines

d)

two parallel lines

15.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

Line bisector

d)

Perpendicular

16.

The set of points (locus) equidistant from two fixed points is ______.

a)

perpendicular bisector

b)

one straight line

c)

two parallel lines

d)

two straight lines

17.

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

18.

The figure shows an equilateral triangle ABC. Which of the following lines may represent the locus of a point P such that AP = PB?

a)
b)
c)
d)

None of the above

19.

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)
20.

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

21.

Let A and B be two points. P is a point such that PA = PB, what is the locus of P?

a)

The locus of P is a circle with diameter AB

b)

The locus of P is circle with centre A and radius AB

c)

The locus of P is the perpendicular bisector of AB

d)

The locus of P is a pair of lines parallel to AB.

22.

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)
23.

Caroline drives her car down a straight roadway so that the car is always equidistant from the two parallel curbs on the sides of the road. Describe Caroline's driving.

a)

Caroline is driving in the right hand lane.

b)

Caroline is driving in the left hand lane.

c)

Caroline is driving in the middle of the road.

d)

Caroline is swerving from the right lane to the left lane.

24.

Curtis jogs through a park that is bounded on two sides by straight intersecting streets. He starts at the intersection and jogs so that he is always the same distance from each street. Describe Curtis' path.

a)

the perpendicular bisector of the line formed by the streets

b)

a circle surrounding the point of intersection of the streets

c)

a line parallel to one of the intersecting streets

d)

the angle bisector of the angle formed by the streets

25.

There are two barrels in a field. Seely rides his dirt bike so that he is always equidistant from the two barrels. Describe his path.

a)

a line parallel to the segment connecting the barrels

b)

a circle surrounding the two barrels

c)

the perpendicular bisector of the segment connecting the barrels

d)

a circle surrounding the first barrel