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Published byHerbert Lynch Modified over 5 years ago
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CIRCLES OBJECTIVE: Learn the basic terminology for circles and lines and segments associated with circles.
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CIRCLES A circle is THE SET OF ALL POINTS IN A PLANE THAT ARE EQUIDISTANT FROM A GIVEN POINT, CALLED THE CENTER. A circle is named by its center. P
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CIRCLES Points inside the circle form the circle’s interior.
Points outside the circle form the circle’s exterior. Exterior Interior
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CIRCLES A radius is . . . A SEGMENT FROM THE CENTER TO A POINT ON THE EDGE OF THE CIRCLE. All radii are congruent. The length of the segment is also called the radius.
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CIRCLES A diameter is . . . A LINE SEGMENT CONTAINING THE CENTER OF THE CIRCLE WITH ITS ENDPOINTS ON THE CIRCLE. The length of the segment is also called the diameter.
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CIRCLES CONGRUENT CIRCLES HAVE THE SAME RADII
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TWO OR MORE COPLANAR CIRCLES THAT HAVE THE SAME
CONCENTRIC CIRCLES TWO OR MORE COPLANAR CIRCLES THAT HAVE THE SAME CENTER
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CIRCLES An arc is . . . TWO POINTS ON A CIRCLE AND THE CONTINUOUS (UNBROKEN) PART OF THE CIRCLE BETWEEN THE POINTS.
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CIRCLES A semicircle is . . .
AN ARC WHOSE ENDPOINTS ARE THE ENDPOINTS OF A DIAMETER. A HALF-CIRCLE.
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CIRCLES Minor arcs are . . . SMALLER THAN SEMICIRCLES.
Major arcs are . . . LARGER THAN SEMICIRCLES.
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CIRCLES A B C D
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CIRCLES A B C D
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CIRCLES A B C D
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Arcs are measured in degrees.
CIRCLES Arcs are measured in degrees. A full circle measures 3600 A B
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CIRCLES A central angle is . . .
AN ANGLE WITH ITS VERTEX AT THE CENTER OF A CIRCLE AND SIDES PASSING THROUGH THE ENDPOINTS OF AN ARC.
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CIRCLES CENTRAL ANGLE
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CIRCLES The measure of an arc is the same as the measure of its CENTRAL ANGLE.
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ARC ADDITION POSTULATE
CIRCLES ARC ADDITION POSTULATE The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.
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ARC ADDITION POSTULATE
B C
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CIRCLES A chord is . . . A LINE SEGMENT WHOSE ENDPOINTS LIE ON THE CIRCLE.
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CIRCLES A tangent is . . . A LINE THAT INTERSECTS THE CIRCLE ONLY ONCE. The point where the tangent intersects the circle is the POINT OF TANGENCY
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CIRCLES A secant is . . . A LINE THAT INTERSECTS A CIRCLE AT TWO POINTS.
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CIRCLES INSCRIBED CIRCLES
A circle is inscribed in a polygon if each side of the polygon is tangent to the circle.
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CIRCUMSCRIBED CIRCLES
A circle is circumscribed about a polygon if each vertex of the polygon lies on the circle.
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CIRCLES COMMON TANGENTS
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CIRCLES Common tangents are lines that are tangent to two circles.
A common tangent that does not intersect the segment that joins the centers of the circles is a common external tangent. A common tangent that intersects the segment that joins the centers is a common internal tangent.
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