Perpendicular bisector of a chord passes through the centre
- Author:
- Yoong Kheong
Sliders for changing the following:
1. Radius of the circle,
2. Length of OY and,
Red dots for rotating the respective chords:
1. CD.
Pre-requisite knowledge and terms: Pythagoras Theorem, Perpendicular bisector, Radius, Chords
Task: How do you prove that perpendicular bisector of the chord passes through the centre?
site knowledge and terms, show that the perpendicular bisector the chord passes through the centre of the circle.
(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.)