Problem of the Day In ⨀A, CD = 48 and FA = 7.

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Presentation transcript:

Problem of the Day In ⨀A, CD = 48 and FA = 7. Find the length of the radius. Problem of the Day

Section 10-4 Inscribed Angles

Then Now Objectives You found measures of interior angles of polygons. Find measures of inscribed angles. Find measures of angles of inscribed polygons.

Common Core State Standards Content Standards. G.C.2 – Identify and describe relationships among inscribed angles, radii, and chords. G.C.3 – Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle. Mathematical Practices 3) Construct viable arguments and critique the reasoning of others. 7) Look for and make use of structure. Common Core State Standards

An inscribed angle has a vertex on a circle and sides that contain chords of the circle. Vocabulary

Find each measure. m CF m∠C Example 1

If m ST = 94 and m∠S = 41, find: m∠R m∠U m RU m∠T Example 1

Find each measure: m∠U m∠T Example 2

Find each measure: m∠W m∠Y Example 2

Example 1 (Again!) If m KL = 81, m K𝑁 = 105, m MN = 92, find: m∠M m∠L

Quadrilateral WXYZ is inscribed in circle V. Find m∠X and m∠Y. Example 5

Quadrilateral PQRS is inscribed in the circle. Find m∠R and m∠S. Example 5

Quadrilateral PQRS is inscribed in the circle. Find m∠W and m∠X. Example 5

p.727 #11 – 20, 27 – 30 Homework