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Write a two column proof

Write a two column proof . C. B. 3. Given: Quadrilateral ABCD Prove: AB = CD, BC = DA 2: Given: Quadrilateral MNPQ Prove: <M is congruent to <P, <N is congruent to < Q Given: Quadrilateral ABCD Prove: AC and BD bisect each other at E. 4. 1. 2. A. D. C. B. 4. 2.

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Write a two column proof

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  1. Write a two column proof C B 3 • Given: Quadrilateral ABCD Prove: AB = CD, BC = DA 2: Given: Quadrilateral MNPQ Prove: <M is congruent to <P, <N is congruent to < Q • Given: Quadrilateral ABCD Prove: AC and BD bisect each other at E 4 1 2 A D C B 4 2 E 1 3 A D

  2. Theorem: Opposite sides of a parallelogram are congruent. • Opposite angles of a parallelogram are congruent • The diagonals of a parallelogram bisect each other

  3. Draw a diagram of the following theorem. If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments one very transversal.

  4. How can you prove to someone that a quadrilateral is a parallelogram?

  5. Theorems • If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. • If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. • If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.

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