SOLUTION: prove that: 1. equal chords of a circle subtend equal angles at the centre.

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Question 280945: prove that:
1. equal chords of a circle subtend equal angles at the centre.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use the properties of congruent triangles to prove this.
Draw in radii from the center to each of the endpoints of one chord. This will make an isosceles triangle.
Now do the same to the second chord. Creating a second isosceles triangle.
Using the Side, side, side rule, you can prove the two triangles are congruent.
Knowing they are congruent allows you to prove the similar angles within the two triangles are equal.