Question

Prove that the tangents to a circle at the ends points of its diameter are parallel

Answer 1

We know that if the tangents are drawn from the end points, the tangents would be perpendicular to the radius.
Therefore, Tangent would be perpendicular to the diameter as well.

As both the tangents are perpendicular, The interior opposite angles between the two tangents and the diameter as transversal would be equal.

Hence the tangents will be parallel.

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