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Which two quadrilaterals do not have all sides of equal length?
There are infinite amounts of quadrilaterals that have sides that aren't all equal. In regular quadrilaterals, however there are rectangles and kites that have uneven lengths of sides.
Does a quadrilateral have to have all equal sides?
No- quadrilaterals don't require completely equal sides. There are quadrilaterals like rectangles that have uneven lengths of sides.
Can you answer which quadrilaterals have their diagonals perpendicular?
The most obvious types of quadrilaterals that have perpendicular diagonals are those with two pairs of adjacent sides the same length - squares, rhombuses, and "kite" shapes.These are all special cases of "orthodiagonal" quadrilaterals. All orthodiagonal quadrilaterals will adhere to the rule that the sum of the squares of the lengths of two opposite (nonadjacent) sides will equal the sum of the squares of the lengths of the other two sides; for successive sides of lengths a, b, c, and d, we have:a2 + c2 = b2 + d2This formula will be true for all orthodiagonal quadrilaterals and any quadrilateral for which this is true will be orthodiagonal (i.e. the diagonals will be perpendicular).
A quadrilateral in which all sides have different lengths this describes?
There is no special name. And some quadrilaterals with special characteristics (eg a trapezium) could still have all sides of different lengths.
How is a trapeziod different from the other four types of quadrilaterals you have learned about?
A trapezoid is different from other quadrilaterals that have 2 pairs of parallel sides in that a trapezoid has only 1 pair of parallel sides of different lengths.
