Perpendicular bisector of a chord passes through the centre

[b]Sliders for changing the following:[/b][br]1. Radius of the circle,[br]2. Length of OY and,[br][br][b]Red dots for rotating the respective chords:[/b][br]1. CD.[br][br][b]Pre-requisite knowledge and terms: [/b]Pythagoras Theorem, Perpendicular bisector, Radius, Chords[br][br][b]Task: [/b]How do you prove that perpendicular bisector of the chord passes through the centre?[br]site knowledge and terms, show that the perpendicular bisector the chord passes through the centre of the circle.[br][br](Hint: You may want to select "Show radius" and recall the relationship between the sides in a pythagoras theorem. What is common between the 2 triangles, triangles OYD and OYC? Apply Pythagoras Theorem.)

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