Question

if AC=BD=9.4cm
AOD=90
draw a rectangle
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Answer 1

Given:

• Diagonals AC and BD of a rectangle = 9.4cm.
• Measure of $\angle$AOD = 90°.

To Construct:

• A rectangle with the given measures.

Some properties of rectangle used:

• Diagonals bisect each other .
• If the diagonals of rectangle intersect at 90° then it is square.

Steps of Construction:

• Draw AC = 9.4cm .
• Draw the perpendicular bisector of AC .
• Taking O as centre and OC as radius cut two arcs on perpendicular bisector ,one above AC and other below AC .
• Join A to B , A to D , B to C and C to D.
• Hence ABCD is the required rectangle.

→ Also , the rectangle ABCD is square .

Note:

• All squares are rectangles but converse is not true.