Mathematics
In the given figure, PQ and PR are two equal chords of a circle. Show that the tangent at P is parallel to QR.
Circles
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Answer
Given,
PQ = PR
∠PRQ = ∠PQR [Angles opposite to equal sides in a triangle are equal]
∠TPR = ∠PQR [Angles in alternate segment]
∴ ∠PRQ = ∠TPR
These are pair of alternate interior angles.
If the alternate interior angles are equal, then lines P and QR should be parallel.
Hence, proved tangent at P is parallel to QR.
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