Properties of Parallelograms, Rectangles, Rhombi, & Squares

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) where opposite sides are parallel and equal in length.

Front

What are the properties of a rectangle?

Back

A rectangle is a parallelogram with four right angles and opposite sides that are equal in length.

Front

What defines a rhombus?

Back

A rhombus is a parallelogram with all four sides of equal length.

Front

What is a square?

Back

A square is a special type of rectangle and rhombus where all sides are equal and all angles are right angles.

Front

How do you find the length of the diagonals in a rectangle?

Back

In a rectangle, the diagonals are equal in length and can be found using the Pythagorean theorem: d = √(length² + width²).

Front

What does it mean if the diagonals of a parallelogram bisect each other?

Back

It means that the point where the diagonals intersect divides each diagonal into two equal parts.

Front

What is the relationship between the angles of a parallelogram?

Back

Opposite angles of a parallelogram are equal, and consecutive angles are supplementary (add up to 180°).

Front

What happens to the diagonals of a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles (90°) and are not necessarily equal.

Front

How can you determine if a quadrilateral is a rectangle?

Back

A quadrilateral is a rectangle if it has four right angles.

Front

What is the significance of perpendicular diagonals in a rhombus?

Back

If the diagonals of a rhombus are perpendicular, it confirms that the shape is a rhombus.