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6-4 Properties of Rhombuses, Rectangles, and Squares

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Presentation on theme: "6-4 Properties of Rhombuses, Rectangles, and Squares"— Presentation transcript:

1 6-4 Properties of Rhombuses, Rectangles, and Squares

2 Special Parallelograms

3 Problem 1: Classifying Parallelograms

4

5 Theorem 6-13 If a parallelogram is a rhombus, then its diagonals are perpendicular

6 Theorem 6-14 If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles

7 Problem 2: Finding Angle Measures
What are the measures of the numbered angles in rhombus ABCD?

8 What are the measures of the numbered angles in rhombus PQRS?

9 Theorem 6-15 If a parallelogram is a rectangle, then its diagonals are congruent

10 Problem 3: Finding Diagonal Length
In rectangle RSBF, 𝑆𝐹=2𝑥+15 and 𝑅𝐵=5𝑥−12. What is the length of a diagonal?


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