ARCS AND ANGLES (Theorems 4-5 & Examples) | JERRYCO M. JAURIGUE

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  • ARCS AND ANGLES (Theorems 4-5 & Examples) | JERRYCO M. JAURIGUE
    Theorem 1. An inscribed angle is 1/2 of its intercepted arc.
    Theorem 2: An angle inscribed in a semicircle is a right angle.
    Theorem 3: Parallel lines intercept arcs equal in degrees.
    Theorem 4: An angle formed by a tangent and a chord is 1/2 of its intercepted arc.
    Theorem 5: An angle formed by two intersecting chords is equal to 1/2 the sum of the intercepted arcs.
    Theorem 6: An angle formed outside a circle by two secants, a tangent and a secant, or two tangents is ½ of the difference of the intercepted arcs.
    #GeoGebra
    Link to the applets:
    www.geogebra.org/m/C7dutQHh
    Reference: Elementary College Geometry by Henry Africk
    CUNY New York City College of Technology
    open.umn.edu/opentextbooks/te...

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