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Parallelograms Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Theorem 8.3 • Opposite sides of a parallelogram are congruent. Theorem 8.4 • Opposite angles of a parallelogram are congruent. Parallelograms Theorem 8.5 • Consecutive angles in a parallelogram are supplementary. Theorem 8.6 • If a parallelogram has one right angle, it has four right angles. Theorem 8.7 • The diagonals of a parallelogram bisect each other. Theorem 8.8 • Each diagonal of a parallelogram separates the parallelogram into two congruent triangles. ABCD is a parallelogram. Answer: MULTIPLE-CHOICE TEST ITEM What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0, –3), M(–2, 1), N(1, 5), O(3, 1)? A Answer: B B C D