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Honors Geometry Section 4.5 (2) Rectangles, Rhombuses & Squares.

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Presentation on theme: "Honors Geometry Section 4.5 (2) Rectangles, Rhombuses & Squares."— Presentation transcript:

1 Honors Geometry Section 4.5 (2) Rectangles, Rhombuses & Squares

2 oh my!

3 A rectangle is a parallelogram with four right angles.

4 Since a rectangle is a parallelogram, a rectangle will have all the properties of a parallelogram.

5 Recall the properties of a parallelogram:

6 Theorem In a rectangle the diagonals are congruent.

7 Examples: Consider rect. LOSI.

8 A rhombus is a parallelogram with four congruent sides. Any rhombus will also have the properties of a parallelogram listed above.

9 Theorem In a rhombus, the diagonals are perpendicular.

10 Theorem 4.5.X In a rhombus, each diagonal bisects a pair of opposite angles.

11 Examples: Consider rhombus BSRE.

12

13 A square is a parallelogram with four right angles and four congruent sides.

14 A square will have all the properties of the parallelogram, rectangle and rhombus.


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