Properties of Squares and Rectangles

This video serves as supplementary material for courses at Howard Community College, focusing on the properties of special parallelograms: rhombus, rectangle, and square. It explains the unique characteristics of each shape, such as congruent sides and perpendicular diagonals in a rhombus, right angles and congruent diagonals in a rectangle, and the combination of these properties in a square.

What is the formal definition of a rhombus?

• A parallelogram with perpendicular diagonals

• A parallelogram with all angles equal

• A parallelogram with two adjacent sides congruent

• A parallelogram with all sides equal

Which property is unique to a rhombus compared to other parallelograms?

• All angles are right angles

• Diagonals are perpendicular

• Opposite sides are parallel

• Diagonals are congruent

Which of the following is not a property of a rhombus?

• All sides are congruent

• Diagonals are perpendicular

• All angles are right angles

• Opposite sides are parallel

In a rectangle, what can be said about its angles?

• All angles are right angles

• All angles are supplementary

• All angles are obtuse

• All angles are acute

What is true about the diagonals of a rectangle?

• They are unequal

• They bisect each other at right angles

• They are congruent

• They are perpendicular

How is a square related to a rectangle?

• A square is a rectangle with all angles acute

• A square is a rectangle with no right angles

• A square is a rectangle with unequal diagonals

• A square is a rectangle with all sides equal

Which of the following is a property of a square?

• All sides are unequal

• Diagonals are not congruent

• All angles are right angles

• Diagonals do not bisect each other

What is a unique property of the diagonals in a square?

• They are unequal

• They are parallel

• They do not bisect each other

• They are perpendicular

Which statement is true about the sides of a square?

• Two sides are equal

• Only opposite sides are equal

• All sides are equal

• No sides are equal

What is the relationship between a square and a rhombus?

• A square is a rhombus with all angles acute

• A square is a rhombus with all angles right

• A square is a rhombus with all sides unequal

• A square is a rhombus with no congruent sides