5 lesson 1 properties of parallelogram and lesson 2 tests of parallelogram
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A parallelogram is a quadrilateral with two pairs of parallel sides. The document outlines several properties of parallelograms: opposite sides are parallel and equal in length, opposite angles are equal, consecutive angles are supplementary, and the diagonals bisect each other. There are several ways to prove that a quadrilateral is a parallelogram, including showing that opposite sides are parallel or equal, or that diagonals bisect each other.
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5 lesson 1 properties of parallelogram and lesson 2 tests of parallelogram
- 1. Properties of Parallelogram OBJECTIVES: To recognize parallelogram Prove and apply the theorems that state the properties of parallelograms
- 2. Parallelograms It is a quadrilateral whose opposite sides are parallel. E F GH Diagonals of a Parallelogram Theorem Each diagonal divides into two congruent triangles.
- 3. Corollary The opposite sides of a parallelogram are equal. The opposite angles of a parallelogram are equal.
- 4. Theorem # 1: Consecutive angles of a parallelogram are supplementary.
- 5. Theorem # 2: The diagonals of a parallelogram bisect each other.
- 6. Properties of Parallelogram Opposite sides are parallel. Either of the diagonals forms two congruent triangles. Opposite sides are equal. Opposite angles are equal. Consecutive angles are supplementary. Diagonals bisect each other.
- 7. Reminders: • Pass your Project in Math, Finish or Unfinished.
- 8. TESTS FOR PARALLELOGRAM OBJECTIVES: Determine when a quadrilateral is a parallelogram Prove and apply theorems that can be used to determine if a quadrilateral is a parallelogram
- 9. Ways of Proving that a Quadrilateral is a Parallelogram Show that opposite sides are parallel. Show that opposite sides are equal. Show that two sides are parallel and equal. Show that the diagonals bisect each other. Show that opposite angles are equal. Show that pairs of consecutive angles are supplementary.