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!
You can't . . . it's not true.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?
Code:7 A o * * * * * * o B * 30° * * * * * * * * o C * 30° * * * 7 D o
We can have: .$\displaystyle AB = CD\,\text{ and }\,\angle B = \angle D$,
. . but $\displaystyle ABCD$ is not a parallelogram.