Circle Principles
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Circle Principles |
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? A diameter divides a circle into two equal parts.
? If a chord divides a circle into two equal parts, then it is a diameter.
? A point is outside, on, or inside a circle according to whether its distance from the center is
greater than, equal to, or small than the radius.
? Radii of the same or congruent circles are
congruent.
? Diameters of the same or congruent circles are congruent.
? In the same or congruent circles, congruent central angels have congruent arcs.
? In the same or congruent circles, congruent arcs have congruent central angles.
? In the same or congruent circles, congruent chords have congruent
arcs.
? In the same or congruent circles, congruent arcs have congruent chords.
? A diameter perpendicular to a chord bisects the chords and its arcs.
? A perpendicular bisector of a chord passes through the center of the circle.
? In the same or congruent circles, congruent chords are equally distant from the center.
? In the same or congruent circles, chords that are equally distant from the center are congruent.
Angles in Different Segments: APB
is in the major segment and AQB
is in the minor segment. So, we say that APB and AQB are in different segments.
In the above diagram,
PRQ and PSQ are in the major segment. So, we way that PRQ and PSQ are in the same segment.
Tangent to a circle is a straight line that touches a circle at one point only.
For example, PT is a tangent to the following circle at the point P. We call P the point of contact.
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Geometry