9 4 study guide and intervention inscribed angles answer key


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If an angle is inscribed in a circle then the measure of the angle equals one-half the measure of its intercepted arc -J A LABC intercepts

  • In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle.
    It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

  • What conclusion can you make about the relationship between the measure of an inscribed angle and the measure of its intercepted arc?

    The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.
    Inscribed angles that intercept the same arc are congruent.
    This is called the Congruent Inscribed Angles Theorem and is shown below.

  • What I have learned about inscribed angles?

    An inscribed angle is an angle formed in a circle by two chords with a common end point that lies on the circle.
    Inscribed angle theorem states that the inscribed angle is half the measure of the central angle.
    Inscribed angles that intercept the same arc are congruent.

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