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6-2 Properties of Parallelograms M11.C.1 2.9.11.C

Learn about the relationships among the sides, angles, and diagonals of parallelograms. Discover how to find missing values and angles using these properties. Complete classwork and bonus exercises for practice.

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6-2 Properties of Parallelograms M11.C.1 2.9.11.C

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  1. 6-2 Properties of Parallelograms M11.C.1 2.9.11.C Objectives: To use relationships among sides and among angles of parallelograms. To use relationships involving diagonals of parallelograms or transversals.

  2. Theorem Opposite sides of a parallelogram are congruent. Symbol

  3. Example Draw parallelogram PQRS. Find x. QR = 3x – 15 PS = 2x + 3

  4. Vocabulary Consecutive Angles – Angles of a polygon that share a side. They are equal to 180.

  5. Examples: Using Consecutive Angles Find m∠O.

  6. Theorem Opposite angles of a parallelogram are congruent

  7. Example: Use opposite angles Find the value of x in quadrilateral ABCD. Then find the m∠A

  8. Theorem The diagonals of a parallelogram bisect each other.

  9. Example: Using Diagonals Parallelogram ABCD Diagonals meet at E AE= 3y - 4 EC=y BE= x + 15 ED= 6x Find x and y. Find AE, EC, BE, and ED.

  10. Classwork HANDED-IN Pg 297 #1-14 Page 297 #15, 16, 44-51 Bonus #48

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