Form 3 Chapter 8: Loci in Two Dimensions

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

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

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 center 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

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