Geometry

(1) Prove: If AB = 5x, BC = 2x –4, and AC = 52, then x = 8.

(2) Prove: If AB = CD, then AC = BD.

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  1. 1. AB + BC = AC.
    5x + (2x-4) = 52.
    7x = 52 + 4 = 56,
    X = 8.

    2. AB + BC = AC: Addition.
    BC + CD = BD: Addition.
    AB = CD: Given.
    Therefore, AB + BC = BD: Substitution.
    AC = BD: Quantitives that are = to the same quantitive are = to each other.

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