Thread: Proving a Quadrilateral is a parallelogram

If you are given that a quadrilateral has one pair of sides which are congruent and one pair of angles which are congruent, how do you prove that the quadrilateral is a parallelogram?

Hello, MATHMATHmathmathMathMath!

If you are given that a quadrilateral has one pair of sides which are congruent
and one pair of angles which are congruent,
how do you prove that the quadrilateral is a parallelogram?

You can't . . . it's not true.

Code:

                   7
          A o * * * * * * o B
           *        30° *
          *           *
         *          *
        *         *
       *        o C
      * 30° *
     *  *    7
  D o

We can have: . ,

. . but is not a parallelogram.