two tangents each intersect a circle at opposite endpoints of the same diameter. is it possible for the two…

two tangents each intersect a circle at opposite endpoints of the same diameter. is it possible for the two tangents to intersect each other outside the circle? explain why or why not, using the information you learned in this lesson.

two tangents each intersect a circle at opposite endpoints of the same diameter. is it possible for the two tangents to intersect each other outside the circle? explain why or why not, using the information you learned in this lesson.

Answer

Brief Explanations:

A tangent to a circle is perpendicular to the radius at the point of tangency. If two tangents intersect a circle at opposite - endpoints of the same diameter, the radii at those points are collinear (since they form a diameter). The two tangents are perpendicular to these collinear radii. Perpendicular lines to the same line are parallel. So, the two tangents are parallel and parallel lines do not intersect.

Answer:

No, it is not possible for the two tangents to intersect each other outside the circle because tangents to a circle at opposite - endpoints of a diameter are parallel.