Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.
The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.
The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.
Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.
Ashely reads 3 chapters in her book each night. Jordon reads 8 chapters in a book each night. Will reads 2 chapters per night, but they are very long. How many chapters do they read per night all together?
