11.1 Angles and Circles Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles. Warm-up (IN)

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11.1 Angles and Circles Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles. Warm-up (IN)

Notes Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles Central Angle – Vertex is THE CENTER of the circle Inscribed Angle – Vertex is ON the circle Chord – A segment whose endpoints are on the circle

Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles Tangent – A line, ray or segment that is in the same plane as a circle and intersects it in only one point AND is perpendicular to the radius of the circle

Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles Arc – portion of the circle Semicircle – Half of the circle Minor Arc – Less than half of the circle Major Arc – More than half of the circle Arc Addition Postulate –

Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles Ex 1 – Find the measure of each arc.

Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles Measure of a Central Angle – Equal to the intercepted arc Measure of an Inscribed Angle – Equal to half the intercepted arc

Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles Inscribed angles that intercept the same arc are congruent The measure of an angle formed by a tangent and a chord is equal to half of the measure of the intercepted arc.

Learning Objective: To identify types of arcs and angles in a circle and to find the measures of arcs and angles Ex 2 – Find the measure of

HW – Out – Describe the difference between an inscribed angle and a central angle and compare their measures. Summary – Wow, circles are…