Which of the following quadrilaterals always have diagonals that are congruent? Check all that apply.

Question

Parallelograms

Rectangles

Rhombi

Squares

Answer 1

The quadrilaterals that always have diagonals that are congruent are:

• Rectangles: The diagonals of a rectangle are always congruent.
• Squares: A square is a special type of rectangle, so its diagonals are also congruent.

Parallelograms and rhombi do not always have congruent diagonals:

• Parallelograms: The diagonals are not necessarily congruent unless the parallelogram is specifically a rectangle.
• Rhombi: The diagonals of a rhombus bisect each other at right angles but are not necessarily congruent; they only equal each other if the rhombus is also a square.

So, the correct options are rectangles and squares.