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Properties of Parallelograms

Properties of Parallelograms. GEOMETRY LESSON 6-2. Properties of Parallelograms Lesson 6-2. 6-2. EFG. GHE. Properties of Parallelograms. GEOMETRY LESSON 6-2. (For help, go to Lesson 4-1 and Lesson 4-3.). Use the figure at the right.

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Properties of Parallelograms

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  1. Properties of Parallelograms GEOMETRY LESSON 6-2 Properties of Parallelograms Lesson 6-2 6-2

  2. EFG GHE. Properties of Parallelograms GEOMETRY LESSON 6-2 (For help, go to Lesson 4-1 and Lesson 4-3.) Use the figure at the right. 1. Name the postulate or theorem that justifies the congruence 2. Complete each statement. a.FEG ? b.EFG ? c.FGE ? d. EF ? e.FG ? f. GE ? 3. What other relationship exists between FG and EH ? 6-2

  3. Properties of Parallelograms GEOMETRY LESSON 6-2 THEOREM 6-1 Opposite sides of a parallelogram are congruent. 6-2

  4. Properties of Parallelograms GEOMETRY LESSON 6-2 Proof of Theorem 6-1 Given: ABCD Prove: AB  DC and BC  DA 6-2

  5. Properties of Parallelograms GEOMETRY LESSON 6-2 Consecutive Angles – Angles of a polygon that share a side. In a parallelogram, consecutive angles are same side interior…  they are supplementary. 6-2

  6. Use KMOQ to find m O. Properties of Parallelograms GEOMETRY LESSON 6-2 6-2

  7. Properties of Parallelograms GEOMETRY LESSON 6-2 Find the values of a and bin WXYZ. Find all sides and angles. 6-2

  8. Properties of Parallelograms GEOMETRY LESSON 6-2 THEOREM 6-2 Opposite angles of a parallelogram are congruent. 6-2

  9. Properties of Parallelograms GEOMETRY LESSON 6-2 Proof of Theorem 6-2 Given: MNPQ Prove: M P and N Q 6-2

  10. Properties of Parallelograms GEOMETRY LESSON 6-2 Find the value of x in ABCD. Then find m A. 6-2

  11. Properties of Parallelograms GEOMETRY LESSON 6-2 THEOREM 6-3 The diagonals of a parallelogram bisect each other. 6-2

  12. Properties of Parallelograms GEOMETRY LESSON 6-2 Proof of Theorem 6-3 Given: ABCD Prove: AC andBD bisect each other at E. 6-2

  13. Properties of Parallelograms GEOMETRY LESSON 6-2 Find the values of x and y in KLMN. 6-2

  14. Properties of Parallelograms GEOMETRY LESSON 6-2 Find the values of x and y in ABCD. 6-2

  15. Properties of Parallelograms GEOMETRY LESSON 6-2 THEOREM 6-4 If three or more parallel lines cut off congruent segments on one or more transversal, then they cut off congruent segments on every transversal BD  DF 6-2

  16. Properties of Parallelograms GEOMETRY LESSON 6-2 Find EH. 6-2

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