Quadrilaterals and Their Properties

The video tutorial explains the properties of different types of quadrilaterals, focusing on parallelograms and their special cases: rhombus, rectangle, and square. A parallelogram has opposite sides that are parallel and equal, and opposite angles that are equal. A rhombus is a parallelogram with all sides equal. A rectangle is a parallelogram with all angles as right angles. A square is a rectangle with all sides equal, making it also a rhombus. The video highlights how these shapes are interrelated through their properties.

What is the basic property of a parallelogram?

• It has only one pair of parallel sides

• All sides are equal

• All angles are right angles

• Opposite sides are parallel and equal

In a parallelogram, which sides are equal?

• Adjacent sides

• Opposite sides

• All sides

• No sides are equal

What is a rhombus?

• A quadrilateral with all angles right angles

• A quadrilateral with all sides equal and opposite sides parallel

• A quadrilateral with only one pair of parallel sides

• A quadrilateral with no equal sides

Which of the following is a property of a rhombus?

• All angles are right angles

• All sides are equal

• Only opposite sides are equal

• No sides are parallel

How can a rectangle be defined?

• A quadrilateral with only one pair of parallel sides

• A parallelogram with all sides equal

• A parallelogram with all angles being right angles

• A quadrilateral with no parallel sides

In a rectangle, which sides are equal?

• No sides are equal

• All sides

• Opposite sides

• Adjacent sides

What additional property does a square have compared to a rectangle?

• All angles are acute

• All sides are equal

• Only opposite sides are equal

• No sides are parallel

Which of the following is true about a square?

• It is a parallelogram with only one pair of parallel sides

• It is a quadrilateral with no equal sides

• It is a quadrilateral with all angles acute

• It is a parallelogram with all sides equal and all angles right angles

How is a square different from a rhombus?

• A square has all sides equal but no right angles

• A square has all angles as right angles

• A square has only one pair of parallel sides

• A square has no equal sides

Which of the following statements is true about quadrilaterals?

• All rectangles are squares

• All quadrilaterals are parallelograms

• All parallelograms are rectangles

• All squares are rectangles and rhombuses