Write the correct word or expression that completes each statement.
1.) If a diameter of a circle is perpendicular to a chord, then the diameter_________ the chord and its arc.
2.) Angles that are formed by two tangents, two secants, or a tangent and a secant that intersect in the exterior of a circle are measured by__________ of the degree measures of their intercepted arcs.
3.) Angles formed by two chords intersecting in a circle are measured by_________ of the degree measures of their intercepted arcs.
4.) An angle formed by a tangent and a chord is measured by the________ degree measure of its intercepted arc.
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1.) If a diameter of a circle is perpendicular to a chord, then the diameter_________ the chord and its arc.
2.) Angles that are formed by two tangents, two secants, or a tangent and a secant that intersect in the exterior of a circle are measured by__________ of the degree measures of their intercepted arcs.
3.) Angles formed by two chords intersecting in a circle are measured by_________ of the degree measures of their intercepted arcs.
4.) An angle formed by a tangent and a chord is measured by the________ degree measure of its intercepted arc.
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Answer:
1.bisects
2.one-half
3.half
4.one-half
Step-by-step explanation:
1.If the diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.
2.two secants, a secant and a tangent, or two tangents intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.
3.The measure of the angle formed by two chords that intersect inside a circle is equal to half the sum of the measure of their intercepted arcs.
4.The measure of an angle formed by a tangent and chord is equal to one-half the measure of its intercepted arc
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