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# Priya and Mai are trying to prove that if 2 chords are congruent, they are equidistant from the center of the circle. Priya draws this pictu

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I'm quite confused with this one and I need help from someone that can solve the problem below. Priya says, “I think we should try to use triangles because that is how we proved things congruent before.” Mai says, “I think you’re right, but how? Should we draw in some radii?”

Help them complete the proof. Explain your response.

May 15, 2020

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Connect OB  and OC....these are radii

We  have  two right triangles

The radii  are congruent  and  the distance  from O to each chord is the same

The radii serve as the hypotenuse in each triangle  and the distance from O to each chord is a leg

Therefore, by hypotenuse-leg....these triangles are congruent

So the remaining legs  ( B to the  "top"  perpendicular  and  C to the same perpendicular )  are equal

By  the same  reasoning, we can prove  that  the distances from A to its respective perpendicular  and  C to the same perpendicular  are  equal if we  connect  OA  and OC

Thus.....the chords will be equal   May 15, 2020