prove that the tangents to a circle at the end points of a diameter are parallel
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lets take a circle with centre o and then diameter ab
when we draw them tangets at a and b we get 2 tangets and the angle formed is 90 degrees
but if we observe the diameter acts as a transversal and then they have alternate interior angles are same
which proves that those 2 lines are parallel
therefore,
that the tangents to a circle at the end points of a diameter are parallel
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Step-by-step explanation:
- Draw the diagram as given in the question
- Now from the centre draw lines to touch the tangents
- So both of them will have 90° angle.
- So u will also see that transversal angles are also equal and are 90°
- So as the transversal angles are equal
- Both the lines are Parallel
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