A parallelogram.
Yes its sides are parallel and its diagonals are 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).
-- four equal sides -- opposite sides are parallel -- opposite angles are congruent -- diagonals are perpendicular
No, they do not have that property. The quadrilaterals that have that property are the rhombus (and subsequently, the square) and the kite. The only property I'm aware of diagonals of a trapezoid having is the fact that they cut each other in the same ratio, which happens to be the ratio between the lengths of the parallel sides.
A parallelogram.
Yes its sides are parallel and its diagonals are perpendicular
trapezium
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).
It is an isosceles trapezoid that fits the given description.
-- four equal sides -- opposite sides are parallel -- opposite angles are congruent -- diagonals are perpendicular
No, they do not have that property. The quadrilaterals that have that property are the rhombus (and subsequently, the square) and the kite. The only property I'm aware of diagonals of a trapezoid having is the fact that they cut each other in the same ratio, which happens to be the ratio between the lengths of the parallel sides.
No but its diagonals are perpendicular
It can if it's irregular. But if it is a regular pentagon (all sides and angles equal) then no, neither.
It has parallel sides, but not perpendicular.
the diagonal in a paralleogram is not equal but the diagonals in the rectangle are congruent this is because the opposite sides of a parallelogram and rectangle are same parallel to each other but the adjacent sides of a parallelogram is not perpendicular where as the adjacent sides of rectangle is perpendicular to each other.
Quadrilaterals have four sides so the only possible answer to this question is that a quadrilateral only has two diagonals.