True or false: b) if a line contains a center of a circle, it is a secant of the circle. (c if 2 chords intersect a circle, they intercept equal arcs. d) if a line is perpendicular to a diameter at one of its endpoints, then it is tangent to the circle. e) inscribed angle that intercept equal arcs are equal.

b) true

c) false

d) true

e) true

Step-by-step explanation:

b) Any line that contains an interior point of a circle is a secant of the circle. The center is an interior point, so a line that contains the circle center is a secant.

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c) Chords of different lengths intercept arcs of different measures

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d) Any line perpendicular to a radius at the point where the radius meets the circle is a tangent to the circle. The endpoint of a diameter is the endpoint of a radius, so a line perpendicular there will be a tangent.

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e) The measure of an inscribed angle is half the measure of the intercepted arc, so all inscribed angles that intercept equal arcs are equal.