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Opposite Sides Parallel and Congruent Theorem
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Statement
If a quadrilateral is a parallelogram, then both pairs of opposite sides are parallel and congruent.
In simple terms:
In a parallelogram, opposite sides are parallel and equal in length.
Example:
If ABCD is a parallelogram, then
AB || CD and AB ≅ CD
BC || AD and BC ≅ AD
Why It Matters:
This theorem helps you prove sides are equal or parallel once you know a figure is a parallelogram.
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