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Question

A straight line AB is 8 cm long. Locate by construction the locus of a point which is:

(i) Equidistant from A and B.

(ii) Always 4 cm from the line AB.

(iii) Mark two points X and Y, which are 4 cm from AB and equidistant from A and B, Name the figure AXBY.


A

Rectangle

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B

Kite

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C

Square

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D

Parallelogram

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Solution

The correct option is C

Square


Step of Construction:

(i) Draw AB is 8 cm, Draw PQ the perpendicular bisector of AB.

(ii) Draw CD and EF both parallel to AB and each at a distance of 4 cm from AB.

(iii) AXBY is a square.


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