Flashcards in Geometry-Circles-Theorums Deck (18):
A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
Tangent Segment Thrm
Tangent segments to a circle from a point outside the circle are congruent.
Chords Central Angle Theorum
If Chords are equal, then central angles are equal.
chord Arcs Thrm
If the chords are congruent, then the arcs are equal.
Perpendicular to a Chord Thrm
Perpendicular from center to a chord also bisects the chord.
Chord Distance to Center Thrm
two congruent chords are equidistant to the center.
Perpendicular bisector of a Chord Thrm
Perpendicular bisector of a chord passes through the center.
Inscribed Angle Thrm
The measure of an angle in a circle is half the measure of the captured arc.
Inscribed Angles Intercepting Arcs Thrm
Inscribed angles that intercept the same arc are congruent.
Angles inscribed in a Semicircle Thrm
Angles inscribed in a semicircle are right angles.
Cyclic Quadrilateral Thrm
The opposite angles of a cyclic quadrilateral are supplementary.
Parallel Lines Intercepted Arcs Thrm
Parallel lines intercept congruent arcs on a circle.
Vertical Angle Theorum
If two angles are vertical angles, then they have equal measures (they are congruent).
Triangle Sum Theory
Sum of all angles in triangle is 180 degrees.
Isosceles Triangle Thrm.
If a triangle is isosceles, then the base angles are equal, Converse is also true
Quadrilateral Sum Thrm
The sum of the angles in a quadrilateral is equal to 360.
Polygon Sum Thrm
Sum of measures of n interior angles of an n-gon is 180(n-2).