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Rectangles. (Which includes squares.)

Q: What quadrilaterals have all adjacent sides perpendicular?

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yes, in a sq. or a rec. , all adjacent sides 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).

Kites or arrowheads.

A rhombus has all sides congruent with no sides *necessarily* perpendicular. Normally a square is considered a kind of rhombus. So the answer would be "non-square rhombus."

A square.

Related questions

Square & Rectangle are the only two. Rhombus (diamond) & parallelogram have adjacent sides, but no 90 degree angles (not perpendicular).

yes, in a sq. or a rec. , all adjacent sides are perpendicular

Adjacent sides are perpendicular. Opposite sides are parallel.

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).

all the sides

All quadrilaterals have intersecting diagonals.Some symmetric quadrilaterals have perpendicularly bisecting diagonals.Equilateral parallelogramsof which the square is a special case...and the kite where two pairs of adjacent sides are the same length has one diagonal perpendicularly bisected by the other

Kites or arrowheads.

A rhombus has all sides congruent with no sides *necessarily* perpendicular. Normally a square is considered a kind of rhombus. So the answer would be "non-square rhombus."

A square.

Adjacent sides of the flags of all nations are perpendicular line segments.

All quadrilaterals have diagonally adjacent angles.

All angles in a square are 90o so all adjacent sides are perpendicular to one another.