Question
Choose ALL the Special Quadrilaterals that have CONGRUENT diagonals.(1 point)
Responses
Square
Square
Parallelogram
Parallelogram
Rectangle
Rectangle
Rhombus
Rhombus
Quadrilateral
Responses
Square
Square
Parallelogram
Parallelogram
Rectangle
Rectangle
Rhombus
Rhombus
Quadrilateral
Answers
GPT-4o mini
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.
- 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.
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Responses
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