Exploring the Properties of Quadrilaterals

What are the properties of a square's diagonals?

• None of the above

• Equal in length but do not bisect each other

• Unequal and do not intersect

• Equal in length and bisect each other at right angles

Which statement is true about the angles formed by the diagonals of a square?

• Each angle is 30 degrees

• Each angle is 60 degrees

• Each angle is 90 degrees

• Each angle is 45 degrees

When a square is transformed into a rhombus, which property of the diagonals changes?

• They are neither equal nor perpendicular

• They remain equal and perpendicular

• They remain perpendicular but are no longer equal

• They remain equal but are no longer perpendicular

What happens to the angles of a rectangle formed from a square?

• No angles remain 90 degrees

• Angles become obtuse

• All angles remain 90 degrees

• Only two angles remain 90 degrees

What happens to the diagonals of a rectangle compared to a square?

• They remain equal but do not bisect each other

• They remain equal and bisect each other

• They become unequal and do not bisect each other

• None of the above

Which properties are lost when a rectangle or rhombus transforms into a parallelogram?

• None of the above

• Equal side lengths

• Parallel opposite sides

• Right angles and bisecting perpendicular diagonals

What defines a parallelogram?

• Only one pair of opposite sides is parallel

• All sides are equal, diagonals are perpendicular

• Opposite sides are parallel and equal, diagonals bisect each other

• All angles are 90 degrees

What change leads to the transformation of a parallelogram into a trapezoid?

• Diagonals become perpendicular

• All sides become equal

• One pair of opposite sides loses its parallel property

• All angles become right angles

What is a characteristic property of a trapezoid?

• All sides are parallel

• Diagonals are equal and perpendicular

• All angles are equal

• Only one pair of opposite sides is parallel

What transformation occurs when a trapezoid's angles are adjusted?

• It becomes a square

• It remains a trapezoid

• It becomes a general quadrilateral with four sides

• It turns back into a parallelogram