Properties of Special Parallelograms in Geometry

Learn about the conditions for identifying special parallelograms such as rhombuses, rectangles, and squares in geometry. Explore the theorems that link properties of diagonals with the classification of parallelograms, including when a parallelogram is a rhombus, rectangle, or square. Dive into identifying special parallelograms and solving problems using their properties. Gain insights into distinguishing between different types of parallelograms based on specific conditions.

• Geometry
• Parallelograms
• Rhombus
• Rectangle
• Theorems

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Uploaded on Sep 28, 2024 | 0 Views

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1. 6-5 Conditions for Rhombuses, Rectangles, and Squares

2. Theorem 6-16 If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus

3. Theorem 6-17 If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus

4. Theorem 6-18 If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle

5. Problem 1: Identifying Special Parallelograms Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain!

6. Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain!

7. Problem 2: Using Properties of Special Parallelograms