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Day 1
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Tangent Chord VOCAB Inscribed Angle Central Angle Secant
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Chord: A segment with endpoints that are on the circle
Tangent: A line that intersects the circle in exactly one point (touches, but does not cross through) Inscribed Angle: An angle that has a vertex on a circle and sides that contain chords of the circle Central Angle: An angle that intersects a circle in two points and has its vertex at the center of the circle Secant: Any line that intersects a circle in exactly two points
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Major Arc Minor Arc A Minor Arc = π΄π΅ Major Arc = π΄πΆπ΅ Named by
two endpoints Measures between 0Β°<π<180Β° Named by Three points (two endpoints with one in between) Measures π>180Β° Major Arc B E C Semicircle = π΅π·πΆ Circle = βE Named by its βCenterβ βCircle Eβ Measures exactly π=360Β° Named by Three points (two endpoints with one in between) Measures exactly π=180Β° D
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Inscribed Quadrilateral Inscribed Quadrilateral:
F F π¬πΏ π: VOCAB: <πΆπΉπ· is an INSCRIBED ANGLE <πͺππ«= π π π πͺπ« Inscribed Quadrilateral A B C D B C E πππΆπ΄π΅: <πΆπΈπ· is a CENTRAL ANGLE <πͺπ¬π«=π π«πͺ π¬πΏ π: Inscribed Quadrilateral: Opposite Angles are SUPPLEMENTARY! Central Angle D
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ππ π: ππΒ°= π πͺπ« If <πͺππ«=ππΒ°, ππππ
π πͺπ« <πͺππ«= π π π πͺπ«
C D F If <πͺππ«=ππΒ°, ππππ
π πͺπ« ππΒ° <πͺππ«= π π π πͺπ« ππ= π π π πͺπ« ππΒ°= π πͺπ«
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EX 2: If Opposite angles are supplementary in an inscribed quadrilateral, find the following measure. <π·=71Β° Find the measure of <π΅ A B C D <D+<B=180 71+<B=180 <B=109Β°
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