Question

Two tangents each intersect a circle at opposite

Answer 1

Answer:

No. They are parallel and parallel lines don't intersect each other.

Step-by-step explanation:

-The two tangents intersect the circle at it's diameters endpoints.

-Tangents are always perpendicular to the radius.

-Since, both tangents meet the circle perpendicularly at the extreme ends of the diameter, they have a parallel relationship.

-Parallel lies don't intersect.

-Hence, the tangents won't intersect at any point since they are parallel.

Answer 2

Answer:

No, the tangents cannot intersect outside of the circle. When tangents intersect outside of a circle, the measure of the angle they form is one half the difference of the intercepted arcs. So as a result, both intercepted arcs would have to measure 180 degrees which would make two tangents intersecting outside of the circle, improbable.

Step-by-step explanation:

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