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Math Help - Prove Angle 1 is = Angle 2

  1. #1
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    Last edited by SmokeDawg; March 12th 2012 at 07:45 PM.
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  2. #2
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    Re: Prove Angle 1 is = Angle 2

    Hello, SmokeDawg!

    Given: . AB = AE,\; BC = DE.
    Prove: . \angle 1 = \angle 2

    Code:
                        A
                        *
                      ** **
                    * *   * *
                  *  *     *  *
                *   *       *   *
              *    *         *    *
            *     *           *     *
          *      * 1         2 *      *
        *   *   *   *   *   *   *   *   *
        B       C               D       E
    \begin{array}{cc cc cc}1. & AB = AE  && 1. & \text{given} \\ 2. & \Delta ABE\text{ is isosceles} && 2. & \text{d{e}f. isosceles} \\ 3. & \angle B = \angle E && 3. & \text{"base angles"} \\  4.  & BC = DE && 4. & \text{Given} \\  5. & \Delta ABC \cong \Delta AED && 5. & s.a.s. \\ 5. & AC = AD && 5. & \text{corres. parts} \\ 6. & \Delta ACD\text{ is isosceles} && 6. & \text{d{e}f. isosceles} \\ 7. & \angle 1 = \angle 2 && 7. & \text{"base angles"} \end{array}
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