Loci in 2 Dimension

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

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

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.

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

Which construction is shown here?

• Perpendicular bisector

• Angle bisector

• ASA triangle

• SAS triangle

Which construction is shown here?

• Perpendicular bisector

• Angle bisector

• Line bisector

• Perpendicular

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