# Chapter 6 - Polygons and Quadrilaterals - 6-2 Properties of Parallelograms - Practice and Problem-Solving Exercises - Page 364: 13

a. Definition of a parallelogram b. Alternate interior angles are congruent. c. Opposite sides of a parallelogram are congruent. d. $\triangle ABE$ is congruent to $\triangle CDE$. e. Corresponding parts of congruent triangles are congruent. f. $\overline{AC}$ and $\overline{BD}$ bisect each other at point $E$.

#### Work Step by Step

a. Opposite sides are parallel in a parallelogram, which is the definition of a parallelogram. b. Alternate interior angles are congruent when two parallel lines are cut by a transversal. c. Opposite sides of a parallelogram are congruent. d. $\triangle ABE$ is congruent to $\triangle CDE$. e. Corresponding parts of congruent triangles are congruent. f. $\overline{AC}$ and $\overline{BD}$ bisect each other at point $E$.

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