Question

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.

Answer 1

Answer:

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.