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Lessons 10-4 through 10-6 Vocabulary

Name: ___________________________________
Date: _______________________
Block: ____________
Across
(p. 723) A(n) _________ angle has a vertex on a circle and sides that contain chords of the circle.
(p. 743) If 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 ___________ of the measures of the intercepted arcs.
(p. 734) If two segments from the ____ exterior point are tangent to a circle, then they are congruent.
(p. 723) Case 3: The center P is in the ________ of the inscribed angle.
(p. 742) If a secant and a tangent intersect at the _____ of tangency, then the measure of each angle formed is one half the measure of its intercepted arc.
(p. 726) If a(n) _____________ is inscribed in a circle, then its opposite angles are supplementary.
(p. 732) A tangent is a line in the same plane as a circle that intersects the circle in exactly one point, called the point of ________.
(p. 723) There are _____ ways that an angle can be inscribed in a circle.
(p. 723) Case 1: ______ P is on a side of the inscribed angle.
(p. 743) The measure of each ∠A can also be expressed as half the ________ value of the difference of the arc measure.
(p. 723) If an angle is inscribed in a circle, then the measure of the angle equals one ____ the measures of its intercepted arc.
(p. 732) A(n) _______ is a line in the same plane as a circle that intersects the circle in exactly one point, called the point of tangency.
(p. 735) Just because the circle is tangent to one or more sides of a polygon does not mean that the polygon is circumscribed ______ the circle.
Down
(p. 743) Secants and tangents can also meet _______ a circle.
(p. 723) Case 2: Center P is _______ the inscribed angle.
(p. 724) If two inscribed angles of a circle _________ the same arc or congruent arcs, then the angles are congruent.
(p. 723) A(n) ___________ arc has endpoints on the sides of an inscribed angle and lies in the interior of the inscribed angle.
(p. 744) There is a difference in the index of __________ between the two mediums such as air and glass.
(p. 732) A(n) ______ tangent is a line, ray, or segment that is tangent to two circles in the same plane.
(p. 725) An inscribed angle of a(n) ________ intercepts a diameter or semicircle if and only if the angle is a right angle.
(p. 741) If two secants or chords intersect in the interior of a circle, then the measure of an angle formed is one half the sum of the measure of the arcs intercepted by the angle and its ________ angle.
(p. 741) A(n) ______ is a line that intersects a circle in exactly two points.
(p. 735) A polygon is circumscribed about a circle if _____ side of the polygon is tangent to the circle.
(p. 733) You can use the solve a simpler problem strategy by sketching and labeling the right triangles _______ the circles.
(p. 725) Remember that for a(n) _______ to be an inscribed _______, all of its vertices must lie on the circle.
(p. 726) While many different types of triangles, including _____ triangles, can be inscribed in a circle, only certain quadrilaterals can be inscribed in a circle.