are the opposite sides of a rectangle equal?
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A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal.
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A rectangle is often described as a special case of the parallelogram, since it has similar properties but with the height being the same as one of the parallel sides. ... In other words, a parallelogram that possesses equal opposite sides and 90° angles, is called a rectangle.
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The opposite angles of a parallelogram are equal (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram). The diagonals of a parallelogram bisect each other (and conversely: if the diagonals of a quadrilateral bisect each other, it is a parallelogram).
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We have proved that the opposite sides of a parallelogram are equal, so if two adjacent sides are equal, then all four sides are equal and it is a rhombus. If two adjacent sides of a parallelogram are equal, then it is a rhombus. ... A quadrilateral whose diagonals bisect each other at right angles is a rhombus.
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We can check that we have a rectangle by checking the slopes of the sides: they are parallel or perpendicular. Parallelogram are quadrilaterals with opposite sides parallel, but adjacent sides not perpendicular. If the sides have equal lengths, then it is called a rhombus.
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Yes if diagonals of a parallelogram are equal then it is a rectangle.
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The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a rectangle has four right angles. Opposite angles of a rectangle are congruent.
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A square must have opposite sides parallel, all sides congruent, and four right angles. We could also say that a rectangle is a parallelogram with four right angles, while a square is a parallelogram with four congruent sides and four right angles. But wait! ... A square IS a rectangle.
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Theorem 1. In a parallelogram, opposite sides are equal. Conversely, if the opposite sides in a quadrilateral are equal, then it is a parallelogram.
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If two squares have equal areas, they will also have sides of the same length. But although "equal areas mean equal sides" is true for squares, it is not true for most geometric figures. Consider the rectangles shown below. ... Two geometric figures are called congruent if they have the same size and the same shape.
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Two pairs of opposite angles are equal in measure. The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary.
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If a quad is a rhombus, then it is a rectangle. If the opposite sides of a quadrilateral are parallel, then it is a parallelogram. A quadrilateral is a parallelogram if one pair of opposite sides is congruent. If a quadrilateral has one pair of parallel sides, then it is a parallelogram.
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If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. If all four angles of a quadrilateral are right angles, then it is a rectangle.
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The opposite sides of a parallelogram are equal (and conversely: if the opposite sides of a quadrilateral are equal, it is a parallelogram). ... If one pair of opposite sides of a quadrilateral is equal and parallel, then the quadrilateral is a parallelogram.
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A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
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A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal. ... A rhombus is defined as a parallelogram with four equal sides.
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Four-sided. Four sided figures are called quadrilaterals. A quadrilateral with opposite sides equal and parallel is called a parallelogram. ... A rectangle with all its sides equal is called a square, which is, in 3d, a cube.