Circles Flashcards
(17 cards)
all radii of the same or congruent circle are
congruent
in a circle, congruent arcs have congruent
chords
in a circle congruent chords have congruent
arcs
the measure of a central angle is equal to the measure of the
intercepted arc
the measure of an inscribed angle is 1/2 the measure of the
intercepted arc
an angle inscribed in a semicircle is a
right angle
if 2 inscribed angles intercept the same arc then they are
congruent
An angle formed by intersecting chords is = to
the sum of the intercepted areas ÷ 2
An angle formed by a tangent and a chord is = to
1/2 the
intercepted arc
The measure of an angle formed by 2 secants, 2 tangents, or a secant and a tangent, from a point outside the circle is equal to
1/2 the difference of the measures of the intercepted arcs
A diameter that is perpendicular to a chord
bisects the chord and it’s arc
when 2 chords intersect inside a circle, the product of the segments
of one chord is = to
the product of the segments of the other chord
chords equal distance from the center are
congruent
If a line is a tangent to a circle
then the line is perpendicular to the radius drawn to the point of tangency
Tangents drawn to a circle from the same external point are
congruent
when 2 secants are drawn to a circle from an external point, the product of one secant segment and it’s external segment is = to
the product of the other secant segment and it’s other external segment (wo=wo)
When a secant and a tangent are drawn to a circle from an external point, the square of the tangent is = to
the product of the secant segment and it’s external segment
