Properties of Parallelograms in Geometry

This content delves into the properties of parallelograms in geometry, covering the congruence of opposite sides and angles, the concept of consecutive angles, and the bisection of diagonals. Theorems and examples are illustrated to deepen understanding and application of these properties in geometric reasoning.

• Geometry
• Parallelograms
• Theorems
• Congruence
• Angles

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Uploaded on Apr 21, 2025 | 0 Views

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Presentation Transcript

1. 6 6- -2 PROPERTIES OF 2 PROPERTIES OF PARALLELOGRAMS PARALLELOGRAMS GEOMETRY

2. THEOREM 6-1 Opposite sides of a parallelogram are congruent.

3. EX. 1

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

5. EX. 2

6. THEOREM 6 THEOREM 6- -2 2 Opposite angles of a parallelogram are congruent.

7. EX. 3

8. THEOREM 6-3 The diagonals of a parallelogram bisect each other.

9. EX. 4

10. Theorem 6-4: If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. BD DF