Circles Vocabulary Quiz J K Q P M L N A C D B E 1. KM 2. <KPL 3. L 4. A 5. AB 6. ML 7. CD 8. LB 9. KLQ 10. JQ R. center S. radius T. diameter U. chord V. secant W. point of tangency X. common tangent Y. central angle Z. minor arc G. major arc MATCHING
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R. centerS. radiusT. diameterU. chordV. secantW. point of tangencyX. common tangentY. central angleZ. minor arcG. major arc
MATCHING
Circles Vocabulary Pretest
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Circle the set of all points in a plane that are equidistant form a given point.
Center the given point
Radius the equidistant measure a segment whose endpoints are the center and any point on the circle
Cradiu
s
chord a segment whose endpoints are on a circle
diameter a chord that contains the center of the circle
chord
diameter
secant
secant a line that intersects a circle in two points
point of tangency the point of intersection of a tangent and a circle
tangent a line in the plane of the circle that intersects in exactly one point
A tangent ray and a tangent segment are also called tangents.
point of tangency
Describe each as it relates to the circle.EX 1: RT
EX 2: WT
EX 3: PT
EX 4: RQ
EX 5: QR
EX 6: PR
R
Q
X T W
P
Common Tangent a line tangent to two coplanar circles
Tell how many common tangents the circles have and draw them.EX 7:
EX 8:
THEOREM 1: In a plane, a line is tangent to a circle if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle.
l
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P
EX 9: Find the value of r, if BC is tangent to circle A.
rr
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48B C
A
EX 10: Is CE tangent to circle D? Explain.
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45D
EC
Theorem 2: Tangent segments from a common external point are congruent
A
B
PO
AP = BP
EX 11: Find the value of x.x2 4
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Central Angle an angle whose vertex is the center of a circle
arc an unbroken part of a circle
A
BC
D
minor arc an arc consisting of points in which a circle intersects a central angle and its interior
major arc an arc consisting of points in which a circle intersects a central angle and its exteriorsemicircle an arc whose endpoints are also the endpoints of a diameter
minor arc = ABmajor arc = ADB
measure of a Circle = measure of a Semicircle =
measure of a minor arc
measure of its central angle
measure of a major arc 360 the related minor arc