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WorksheetsLOCI IN TWO DIMENSIONS
Total questions: 25
Worksheet time: 26mins
A moving point P maintains an equal distance from two parallel lines. Which of the following does the locus of P belong to?
A circle
A straight line
Two parallel lines
Two perpendicular lines
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?
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
AE
AC
BE
BD
Let A and B be two points. P is a point such that PA = PB, what is the locus of P?
The locus of P is a circle with diameter AB
The locus of P is circle with centre A and radius AB
The locus of P is the perpendicular bisector of AB
The locus of P is a pair of lines parallel to AB.
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?
What is the definition of a locus of points?
The sum of two numbers
The product of two numbers
A set of points that satisfy a certain condition or property
The square root of a number
The set of points (locus) at a given distance from a straight line is _______.
a circle
one straight line
two intersecting lines
two parallel lines
The set of points (locus) equidistant from two fixed points is ______.
one circle
one straight line
two circles
two straight lines
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.
Caroline is driving in the right hand lane.
Caroline is driving in the left hand lane.
Caroline is driving in the middle of the road.
Caroline is swerving from the right lane to the left lane.
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.
the perpendicular bisector of the line formed by the streets
a circle surrounding the point of intersection of the streets
a line parallel to one of the intersecting streets
the angle bisector of the angle formed by the streets
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 line parallel to the segment connecting the barrels
a circle surrounding the two barrels
the perpendicular bisector of the segment connecting the barrels
a circle surrounding the first barrel
What shape would be produced by all the points which are 20cm away from a point?
Circle
Discorectangle (rectangle with semicircles on the end)
Straight line
Arc
What shape would be produced by all the points which are equidistant from two points A and B?
Circle
Discorectangle (rectangle with semicircles on the end)
Straight line
Arc
What construction would you use to map the points which are equidistant from two lines AB and AC?
Circle
Perpendicular bisector
Angle bisector
Arc
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?
L and Q
N and S
M and R
K and P
In the diagram, FGKL and GHJK are squares each with sides of 3 cm. LGJ is a semicircle with centre K.
X is a point which moves such that its distance from K is always 3 cm.
Y is a point which moves such that its perpendicular distance from line FGH is always 3 cm.
Which of the following are the intersection points of loci of X and Y?
L and G
L and J
G and J
L, G and J
A point moves such that it is always 5 cm from a fixed point O. Which of the dotted lines below shows the locus of the point?
A
B
C
D
A point moves such that it is equidistant from two fixed points, H and K.
The locus of the moving point is
an arc that joins points H and K.
a perpendicular bisector of the straight line that joins points H and K.
a circle that passes through points H and K.
a line that is parallel to the line joining points H and K.
What is the locus of a coconut falling from a tree?
A vertical line
A horizontal line
A parabola
A circle
The figure shows an equilateral triangle ABC. Which of the following lines may represent the locus of a point P such that AP = PB?
None of the above
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.
Caroline is driving in the right hand lane.
Caroline is driving in the left hand lane.
Caroline is driving in the middle of the road.
Caroline is swerving from the right lane to the left lane.
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.
the perpendicular bisector of the line formed by the streets
a circle surrounding the point of intersection of the streets
a line parallel to one of the intersecting streets
the angle bisector of the angle formed by the streets
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 line parallel to the segment connecting the barrels
a circle surrounding the two barrels
the perpendicular bisector of the segment connecting the barrels
a circle surrounding the first barrel
Which construction is shown here?
Perpendicular bisector
Angle bisector
ASA triangle
SAS triangle
What shape would be produced by a locus which are equidistant from two points A and B?
Circle
Discorectangle (rectangle with semicircles on the end)
Straight line
Arc
