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take a line segment PQ draw a perpendicular bisector of PQ . Take a point m on the perpendicular bisector . Prove that m is equidistance from P and Q? |
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Answer» ong>Step-by-step explanation: ANSWER Steps of Construction : 1. With P and Q as centers, draw ARCS on both SIDES of PQ with equal radii. The radius should be more than half the length of PQ. 2. Let these arcs CUT each other at points R and RS 3. Join RS which cuts PQ at D. Then RS=PQ. Also ∠POR=90 ∘ . Hence, the LINE segment RS is the perpendicular bisector of PQ as it bisects PQ at P and is also perpendicular to PQ. On MEASURING the lengths of PR=4cm, QR=4 cm Since PR=QR, both are 4cm each ∴PR=QR. |
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