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Equal Chords, Equidistant from Centre (Ms LIM XH)

Adjust the positions of B, C and D according to the instructions for Part 1 and 2. Submit your responses to the questions below.

Part 1

What do you notice about the perpendicular distances OM and ON when AB = CD (equal chords)?

Task 2

What do you notice about the lengths of AB and CD when OM = ON (chords equidistant to centre of circle)?