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?(Thinking)

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- Nov 28th 2008, 06:14 PMMATHMATHmathmathMathMathProving 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?(Thinking)

- Nov 28th 2008, 09:11 PMSoroban
Hello, MATHMATHmathmathMathMath!

Quote:

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.