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GEOMETRY-CIRCLES-THEOREMS -DEFINITIONS-ETC.-PRACTICE EXERCISES

THE STUDY BUDDY, INC. SAINT PETERSBURG, FLORIDA

AB
Fill in the blank: The line containing the center of a circle perpendicular to a chord _________ the chord.Answer: bisects
The line containing the center of a circle and the midpoint of a chord ___________ the cnetral angle determined by the chord.Answer: bisects
The bisector of the central angle of a chord is perpendicular to the _________ and __________ the chord.Answer: chord and bisects
The perpendicular bisector of a chord of a circle contains the __________ of the circle.Answer: center
In a cicle or two(2) congruent circles, if two(2) arcs have the same measure, they are congruent and their __________ are congruent.Answer: chords
In a circle, if two(2) chords have the same lenght, their _______ arcs have the same measure.Answer: minor
An angle is an"inscribed angle" in a circle if and only if the vertex angle is on the __________ .Answer: circle
An angle is an "inscribed angle" in a circle if and only if each side of the angle __________ the circle at a point other than the vertex.Answer: intersects
In a circle, the measure of an inscribed angle is __________ the measure of its ___________ arc.Answer: one-half; intercepted
An angle inscribe in a semicircle is a ____________ .Answer: right angle
A line that intersects a circle at only exactly one point is a __________ line.Answer: tangent
The measure of an angle formed by a tangent and a chord is _________ the measure of the intercepted arc.Answer: half
A radius drawn to the point of tangency is _____________ to the tangent line.Answer: perpendicular
A ___________ is a line tha intersects a circle in two pointsAnswer: secant
The measure of an angle formed by two(2) intersecting chords is ____________ the sum of the measure of the arcs intercepted by it and its vertical angle.Answer: one-half
The measure of an angle formed by two(2) secants intersecting outside a circle is ________half of the __________ of the arcs intercepted by it.Answer: half; difference
The measure of the angle between two(2) tangents, or between a tangent and a secant, is ________ the ___________ of the intercepted arcs.Answer: half; difference
Suppose one secant intersects a circle at A and B, and a second secant intersects the circle at C and D. If the secants intersect at P, then _______ times _______ equals _______ times _______ .Answer: AP; BP; CP; DP;
The power of point P for circle O is the _________ of the length of a segment tangent to circle O from P.Answer: squared
An angle with its vertex at the center of the circle is a ____________ angle.Answer: central
Any polygon whose vertices lie on a given circle is called an ___________ polygon.Answer: inscribed
The arc that is less than 180 degrees in a circle is called the ____________ arc.Answer: minor
The arc that is more than 180 degrees in a circle is called the ___________ arc.Answer: major


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