Question
Which of the following quadrilaterals always have diagonals that are congruent? Check all that apply.
Parallelograms
Rectangles
Rhombi
Squares
Parallelograms
Rectangles
Rhombi
Squares
Answers
GPT-4o mini
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.
- **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.