Login/Sign Up
Home » Draw a straight line AB of . Draw the locus of all points which are equidistant from A and B. You need to Prove your statement.
Draw a straight line AB of 9 cm. Draw the locus of all points which are equidistant from A and B. You need to Prove your statement.
Class 10 | Frank | Guides | ICSE | Loci | Maths
Draw a straight line AB of 9 cm. Draw the locus of all points which are equidistant from A and B. You need to Prove your statement.

Steps of  construction:

(1) Draw a line segment AB of the length 9 cm.

(2) Then draw perpendicular bisector PQ of line segment AB. So PQ is the required locus.

Proof:

(a)Let us take  any point on PQ i.e. C.

(b) Now, let us  join CA and CB.

Since, C lies on the perpendicular bisector of line segment AB.

Hence, C is equidistant from A and B.

Therefore, we can say that  CA = CB Hence, it is proved that perpendicular bisector of  line segment AB is the locus of all points which are equidistant from A and B.

i

More Material