Download proofoftheorem

Proof of Theorem:
If a quadrilateral is a parallelogram, the 2 pairs of
opposite sides are congruent.
(Remember: when attempting to prove a theorem to be true,
you cannot use the theorem as a reason in your proof.)
STATEMENTS
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Draw segment
from A to C
REASONS
1 Given
2 Two points determine
exactly one line.
3 A parallelogram is a
quadrilateral with both pairs
of opposite sides parallel.
4 If two parallel lines are cut
by a transversal, the
alternate interior angles are
congruent.
5 Reflexive property: A
quantity is congruent to
itself.
6 ASA: If two angles and the
included side of one triangle
are congruent to the
corresponding parts of
another triangle, the
triangles are congruent.
7 CPCTC: Corresponding
parts of congruent triangles
are congruent.