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

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oh my!

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A rectangle is a parallelogram with four right angles.

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

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Recall the properties of a parallelogram:

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Theorem 4.5.9 In a rectangle the diagonals are congruent.

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Examples: Consider rect. LOSI.

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

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Theorem 4.5.8 In a rhombus, the diagonals are perpendicular.

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

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Examples: Consider rhombus BSRE.

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

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

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