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Geometry 7.5 Notes 2/11/15 Objective: Find the measures of angles formed by chords, secants, and tangents. Find the lengths of segments associated with circles. Warm UP (intersecting on the circle): Find the value of x. a. b. I understand how to find the measure of an angle formed by two secant lines: 1 2 (1 means no clue, 2 means almost, 3 means definitely, 4 means you can teach it.) 3 4 Vocabulary and Key Concepts A _________________ is a line that A secant is a line that intersects intersects the circle at one point. the circle at __________ points. Theorem 12- 11: Intersect Inside the Circle The measure of an angle formed by two lines that intersect ____________________ a circle is half the _________________ of the measures of the intercepted arcs. Target 1: I can find angle measures formed by two secants intersecting inside the circle Find the value of each variable Ex. 1 Ex. 2 I understand how to find the measure of an angle formed by two secant lines: 1 2 (1 means no clue, 2 means almost, 3 means definitely, 4 means you can teach it) 3 4 Theorem 12- 11: Outside the Circle The measure of an angle formed by two lines that intersect ____________________ a circle is half the ____________________ of the measures of the intercepted arcs Target 2: I can find angle measures formed by two secants intersecting outside the circle Find the value of each variable Ex.1 Ex. 2 I understand how to find the measure of an angle formed by two secant lines: 1 2 (1 means no clue, 2 means almost, 3 means definitely, 4 means you can teach it) Target 3: βReal World Applicationsβ Μ = a. In the company logo shown, ππΉπ» Μ 108°, and ππΏπ½ = 12°. Gwen, the graphic designer for the company needs to program her computer to draw it. She finds the m β FKH to be 60°. Is Gwen going to keep her job? Hereβs her workβ¦ π Μ + ππ³π± Μ) (πππ― π π mβ π ππ = (πππ + ππ) π π mβ π ππ = (πππ) = ππ π mβ π ππ = 3. An observer watches people riding a Ferris wheel that has 12 equally spaced cars. Find x. 3 4 b. My eye doctor is thinking of a career change to geometry teacher. Apparently heβs gone crazy. But hereβs a problem he came up with. 7.5 Target Practice Find the value of the missing angles(?). Name________________________ 1. 3. 2. 7.5 Target Practice Find the value of the missing angles(?). Name________________________ 1. 3. 2. 7.5 Target Practice Find the value of the missing angles(?). Name________________________ 1. 3. 2.
