10.3 Apply Properties of Chords

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Presentation transcript:

10.3 Apply Properties of Chords Mrs. vazquez Geometry

g-co.4.12, g-c.1.2-3 Essential Question: How can I use use the relationship between arcs and chords in a ⊙? Objective: Students will be able to use the relationship between arcs and chords in a ⊙.

thm 10.3 In a same ⊙, or in ≅ ⊙s, two minor ⁀s are ≅ iff their corresponding chords are ≅.

thm 10.4 If one chord is a ⊥ bisector of another chord, then the first chord is a diameter.

thm 10.6 In the same ⊙, or in ≅ ⊙s, two chords are ≅ iff they are equidistant from the center.

⁀DB is 9xo ⁀CB is (80-x)o Find ⁀CB. Find ⁀CD.

GE is 2x units. FE is 5x - 9 units. AB is 32 units. Find BD. Find AF. Find the radius of ⊙E.