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Construction of a Square When a Diagonal Is Given.

To construct ...

Question

To construct the perpendicular bisector of a line segment AB, first we have to draw the line segment AB. Then, with A as centre, at what radius should be set the compass for drawing the arcs ?

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Solution

The Compass should be set at a radius of more than $\frac{1}{2}$ of AB

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Q. To construct perpendicular bisector to a line segment AB =10 cm, we have to draw an arc of radius

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a. Join XY to cut AB at O. XY is called the perpendicular bisector of AB.

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then B as centre and radius greater than half of AB.

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1.With B as the centre and the same radius as in previous step, draw two arcs to intersect the arcs drawn in previous step. Name the point of intersection of the arcs as P and Q
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Q. Draw a line segment AB = 5.6 cm. Draw the perpendicular bisector of AB.

Q. To construct a trapezium ABCD with

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The next step is ___.

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