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?
Answers
Answer:
no
Step-by-step explanation:
two tangents will be parallel
it will make an angle measuring 90° with the diameter
this is also same with the another tangent
THEREFORE the total sum of co interior angles will be 180° making the tangents parallel
S4mple Response:
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.