The special quadrilaterals that have congruent diagonals are:
- Square
- Rectangle
A square has congruent diagonals because all sides and angles are equal. A rectangle has congruent diagonals due to its opposite sides being equal and angles being right angles.
A parallelogram's diagonals are not necessarily congruent unless it is a rectangle or a square, and a rhombus generally does not have congruent diagonals (they are perpendicular bisectors of each other). So the only quadrilaterals in your options with congruent diagonals are the square and rectangle.
1 answer