GEOM 3| Lesson 1 | Practice 2 Solution

1. 

\(\overline{AB} ≅ \overline{CB}, \overline{AD }≅ \overline {CB}, \overline{BD} ≅ \overline{BD}\).  Therefore the triangles are congruent by SSS.

2. 

Given that the figure is a parallelogram → \(\overline{AB} ||\overline{CD}\) and \(\overline{AC}||\overline{BD}\) .   The triangles can be proved congruent by ASA using the alternate interior angles or  the triangles are congruent by SSS (remember that the sides of the parallelogram are not on parallel but also congruent).    Can you think of any other way to prove them congruent?

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