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Circles Rules
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Terms in this set (26)
Radius drawn to point of tangency forms _________ ________
Right angle
What methods can you use for finding the angles in rule 1?
Pythagorean theorem (a²+b²=c²)
Specials (30,60,90;45,45,90)
Trig (sine, cosine, tangent)
Tangents from same exterior point are _________
Congruent
A ray drawn through the center (diameter) bisects the ...
Exterior angle formed by two tangents
Where are the shortest chords closest to?
The edge of the circle
What is the longest chord in a circle and why?
The diameter because it goes directly through the middle
The shortest segment in a circle is drawn ...
Perpendicular to the chord (radius)
The _________ is the longest segment
Radius
Diameter is the diagonal of ...
SOME quadrilaterals
Radius drawn perpendicular to a chord ...
Bisects the chord
Radius drawn perpendicular to chord forms ...
Isosceles triangle
What can you use to solve the isosceles triangle?
Pythagorean theorem, specials, or trig
Radius drawn perpendicular to chord ALSO bisects ...
The arc
Congruent chords=
Congruent arcs
Each CHORD is congruent to the exterior ...
Angles of the polygon
Chords parallel to each other cuts of ...
Two congruent arcs
2 arcs and the middle=
Same measure
Chords with equal distance from center=
Congruent arcs
Measure of a CENTRAL ANGLE=
Measure of arc
Ratio of central angles to their arcs
1:1
A diameter (straight angle) forms a
Semicircle
The measure of inscribed angles=
Half the measure of arc
Three versions of inscribed angles equaling half their arc=
2 chords
Chord and secant
Secant and tangent
Inscribed angles that open to the same arc=
Same measure
Inscribed angles opening to a diameter=
90 degrees
Quadrilateral inscribed in a circle means the opposite angles are ...
Supplementary
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