Best Answer

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 + d2

This 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).

User Avatar

Wiki User

โˆ™ 2011-11-07 15:49:44
This answer is:
User Avatar
Study guides


20 cards

Is glucose solution a homogenous mixture

Who were scalawags and carpetbaggers

What other ocean floor feature is formed by movement of earths plates

Properties that describe the appearance of matter are known as what properties

See all cards
72 Reviews

Add your answer:

Earn +20 pts
Q: Can you answer which quadrilaterals have their diagonals perpendicular?
Write your answer...
Still have questions?
magnify glass
People also asked