University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

307

Pages:

3
Author:

Marie Stanton

4/12/20 Theorem Definition • Inscribed angle – an angle in a circle in which the vertex is __ ____ ______and of the angle onthe thesides circle are _______ chords Inscribed Angles • If an angle is inscribed in a circle, then the measure of the angle is equal to half of the intercepted arc in a circle B intercepted arc A 1 2 3 4 5 6 7 8 9 If !AB = 100 then ÐARB = 50 R inscribed angle Theorem • If an inscribed angle intercepts a semicircle, then the angle is __ ____ ____ a right angle 1 4/12/20 Theorem Find x and y B • If a quadrilateral is inscribed in a circle, then its opposite angles are ___________ supplementary 85 115 C Graphing Circles B ÐA + ÐC = 180 C A x A y D ÐB + ÐD = 180 D 10 11 Coordinates of Center ( , 12 ) Coordinates of Center ( , Coordinates of Center ( ) Radius = _______ Radius = _______ 13 14 , ) Link to desmos to play with this idea Center (h, k) and radius = r Radius = _______ 𝑑= 16 ) 15 Standard Equation of a Circle is 𝑥 − ℎ !+ 𝑦 − 𝑘 ! = 𝑟! Coordinates of Center ( , Radius = _______ 17 𝑥−ℎ !+ 𝑦−𝑘 ! 18 2 4/12/20 Now write the equation of a circle in standard form with 1. Center at the origin and a radius of 16 2. Center at (-2, 5) and radius of 7 19 20 21 3