12.1 Tangent lines -Theroem 12.1: if a line is tangent to a circle, then it will be perpendicular to the radius at the point of tangency -Theroem 12.3:

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Presentation transcript:

12.1 Tangent lines -Theroem 12.1: if a line is tangent to a circle, then it will be perpendicular to the radius at the point of tangency -Theroem 12.3: if 2 tangent Segments to a circle share a Common endpoint, then the Segments are congruent

12.2 Chords and arcs -Theroem 12.4: congruent central angles within a circle have congruent arcs -Theroem 12.5: congruent central angles within a circle have congruent chords

12.2 Chords and arcs -Theroem 12.6: congruent chords have congruent arcs -Theroem 12.7: chords Equidistant from the center Of a circle are congruent

12.2 Chords and arcs -Theroem 12.8: if the diameter of a circle is perpendicular to a chord, then it bisects the chord -Theroem 12.10: the Perpendicular bisector Of a chord contains the Center of the circle

12.3 inscribed angles -Theroem 12.11: the measure of an inscribed angle is half the measure of the intercepted arc -Theroem 12.11: two inscribed Angles that intercept the same Arc are congruent

-Theroem 12.11: an angle inscribed in a semicircle is a right angle 12.3 inscribed angles -Theroem 12.11: an angle inscribed in a semicircle is a right angle

12.3 inscribed angles -Theroem 12.11: the measure of an angle formed by a tangent and a Chord is half the measure of The intercepted arc

12.4 Angle measures and segment lengths -Theroem 12.13: the measure of an angle formed by 2 lines intersecting inside a circle is half sum of 2 intercepted arcs

12.4 Angle measures and segment lengths -Theroem 12.14: the measure of an angle formed by 2 lines intersecting outside a circle is half difference of 2 intercepted arcs

12.4 Angle measures and segment lengths -Theroem 12.15: the measure of circle segments

12.5 circles

13.1 experimental and theoretical probability -Probability: value 0 – 1; the number of favorable outcomes over number of possible outcomes -Experimental Probability: the number of times an event occurs over the number of times an experiment is done

13.3 permutations and combinations -Permutation: an arrangement of counted items in which order matters -Combination: an arrangement of counted items in which order does not matter