## Geometry: Common Core (15th Edition)

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 $E$.
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 $E$.