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Properties of a Rhombus - MathHelp.com - Geometry Help

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For a complete lesson on rhombuses, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn the definitions of a rectangle, a rhombus, and a square. Students also learn the following theorems. The diagonals of a rectangle are congruent.

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Finding the measurements of a parallelogram: 

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Finding the measurements of a parallelogram: 

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Art of Problem Solving: Angles in a Parallelogram

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The diagonals of a square bisect each other and meet at 90°

The diagonals of a square bisect its angles.

Opposite sides of a square are both parallel and equal in length.

All four angles of a square are equal. ...

All four sides of a square are equal.

The diagonals of a square are equal

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All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).

All sides are congruent by definition.

The diagonals bisect the angles.

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The bases (top and bottom) of an isosceles trapezoid are parallel.

Opposite sides of an isosceles trapezoid are the same length (congruent).

The angles on either side of the bases are the same size/measure (congruent).

The diagonals (not show here) are congruent.

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All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

All angles are right angles by definition.

The diagonals are congruent.

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Opposite sides are parallel by definition.

Opposite sides are congruent.

Opposite angles are congruent.

Consecutive angles are supplementary.

The diagonals bisect each other.