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Transcript
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 1 2 3 4 5 6 7 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.