Constructing a square

Objectives

 * 1) Construction of a perfect square.
 * 2) Use of equal radius arcs to get equal sides of a square in the construction protocol.
 * 3) Use of perpendicular lines to draw sides of a square.

Estimated Time
40 minutes

Materials/ Resources needed
Non digital: White paper, compass, pencil and scale.

This activity has been taken from the website :http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Mylod/Math7200/Project/Square.html
 * Process:

Process (How to do the activity)

 * 1) To construct a square of a given length, draw a line segment AB of given length.
 * 2) Draw perpendicular to the line AB at A.
 * 3) Taking AB as radius draw a circle with A as centre.
 * 4) The circle intersects the perpendicular at a point. Name the intersecting point as C.
 * 5) Similarly draw perpendiculars to AC at C. You get third side of the square.
 * 6) To get the fourth side of the square construct a perpendicular to AB at B.
 * 7) Name the two intersecting perpendiculars as D.
 * 8) ABCD would be the required square.
 * Developmental Questions:
 * 1) For what measure are you drawing a square ?
 * 2) What is a perpendicular line ?
 * 3) Why are we constructing perpendicular lines for constructing a square ?
 * 4) What is the purpose of drawing a circle ?
 * 5) How do we determine the fourth vertex of the square ?
 * Evaluation:
 * 1) What are perpendicular lines ?
 * 2) Why is a circle being drawn ? Which purpose would it solve ?
 * Question Corner
 * 1) Can a square be constructed without using a compass ?