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What is the central angle of a circle?
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The central angle is an angle whose vertex is the center of the circle and whose sides are radii.
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What does the Inscribed Angle Theorem state?
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The Inscribed Angle Theorem states that an inscribed angle is half the measure of the central angle that subtends the same arc.
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What is the relationship between the radius and a tangent at the point of tangency?
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The radius is perpendicular to the tangent at the point of tangency.
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What does the Alternate Segment Theorem describe?
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The Alternate Segment Theorem states that the angle between a chord and a tangent is equal to the angle in the alternate segment.
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What are congruent chords?
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Congruent chords in a circle are chords that are equal in length.
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What does the Perpendicular Bisector Theorem state in relation to chords?
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It states that the perpendicular bisector of a chord passes through the center of the circle.
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What is a cyclic quadrilateral?
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A cyclic quadrilateral is a four-sided figure where all vertices lie on the circumference of a circle.
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What is the property of the opposite angles of a cyclic quadrilateral?
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The opposite angles of a cyclic quadrilateral add up to 180 degrees.
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What is the Arc Addition Postulate?
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The Arc Addition Postulate states that the measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.
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What is the Angle at the Center Theorem?
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The Angle at the Center Theorem states that the angle subtended at the center is twice that subtended at any point on the circle.
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What is the significance of equal arcs in a circle?
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Equal arcs in a circle subtend equal angles at the center and equal inscribed angles at the circumference.
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What is the Tangent-Secant Theorem?
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The Tangent-Secant Theorem states that if a tangent and a secant are drawn from an external point, the square of the tangent is equal to the product of the entire secant segment and its external part.
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What is a semicircle and how is it related to angles?
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A semicircle is half a circle formed by a diameter. An angle inscribed in a semicircle is a right angle.
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What does the Chord Segment Theorem state?
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The Chord Segment Theorem states that when two chords intersect, the products of the lengths of their segments are equal.
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What does the Tangent-Tangent Theorem state?
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The Tangent-Tangent Theorem states that two tangent segments drawn from an external point to a circle are equal in length.
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