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Warm-Up 1. Given a triangle, describe in words how you would locate a point that is equidistant from each of the three vertices of the triangle. 2. What would you do if instead you wanted to find a point that is equidistant from the sides of the triangle? Lesson 15.6: Properties of Parallelograms Definition of a Parallelogram: A parallelogram is a quadrilateral with two pairs of sides parallel. Properties of a Parallelogram 1. In a parallelogram, both pairs of opposite sides are parallel. (Definition) 2. In a parallelogram, both pairs of opposite sides are congruent. (Theorem) 3. In a parallelogram, both pairs of opposite angles are congruent. (Theorem) 4. In a parallelogram, the diagonals bisect each other. (Theorem) Group Activity Get into your groups and complete the following proofs in your textbook: 1. Explain 1, Example 1 on pg. 789 2. Explain 2, Example 2 on pg. 790 Explain 1, Example 1 Explain 2, Example 2