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.

No, the tangents cannot intersect  outside the circle. When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees. This means the angle would have a measure of one half times the difference of 180 and 180, which is 0. An angle with a zero degree measure could not intersect a circle on opposite sides.

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Sample Answer

No, the tangents can't intersect outside of the circle. When they do intersect, the measurment of the angles they form is a half the difference of the intercepted arcs then both of the intercepted arcs would measure 180 degrees.

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