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NAME DATE PERIOD 64 Practice Rectangles ALGEBRA Quadrilateral RSTU is a rectangle. 1. If UZ x + 21 and ZS 3x 15, find US. 2. If RZ 3x + 8 and ZS 6x 28, find UZ. 3. If RT 5x + 8 and RZ 4x + 1, find.

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Special Parallelograms: Rhombus, Square & Rectangle.

In a rhombus, all the four sides are equal and the diagonals intersect at 90 degrees, whereas in a parallelogram, the opposite sides are equal and the diagonals bisect each other.

It is a special quadrilateral case, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. The area of a parallelogram is equal to the product of length and height of the parallelogram. The sum of the interior angles in a quadrilateral is 360 degrees.

The four shapes that meet the requirements of a parallelogram are square, rectangle, rhombus, and rhomboid. A rhombus looks like a slanted square, and a rhomboid looks like a slanted rectangle. Squares and rectangles of a parallelogram form four right angles.

A special parallelogram is a two-dimensional figure that has two sets of parallel sides and four right angles. The shape can be identified as rectangular, rhombus, square or trapezoid.

Properties of Special Parallelograms All sides are congruent. Side AB = BC = CD = DA. Opposite angles are congruent. Angles ∠A = ∠C and ∠B = ∠D. The diagonals AC and BD bisect each other at right angles. Adjacent angles in a rhombus are supplementary (For example, ∠A + ∠B = 180°).

Rectangles, rhombus, and squares are parallelograms. A trapezoid has at least one pair of parallel sides. The parallel sides are called the bases and the non-parallel sides are called the legs.

Properties of a Parallelogram NameAttributes Rectangle ● Four right angles ● Congruent diagonals Rhombus ● Four congruent sides ● Perpendicular diagonals Square ● Four right angles ● Congruent diagonals ● Four congruent sides ● Perpendicular diagonals

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