Quadrilaterals and Their Properties

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What is a quadrilateral?

A quadrilateral is a polygon with four edges (sides) and four vertices (corners).

Name the four types of quadrilaterals.

The four types of quadrilaterals are squares, rectangles, parallelograms, and trapezoids.

How does a square differ from a rectangle?

Both have four right angles, but a square has all four sides equal, whereas a rectangle has opposite sides equal.

What makes a parallelogram unique among quadrilaterals?

In a parallelogram, opposite sides are parallel and equal in length.

What property do all trapezoids share?

All trapezoids have at least one pair of parallel sides.

How is a rhombus different from a square?

A rhombus has all sides equal like a square, but its angles are not necessarily 90 degrees.

If a quadrilateral has one right angle, what type could it be?

It could be a rectangle or a right trapezoid, depending on other angles and sides.

What is the sum of the interior angles of any quadrilateral?

The sum of the interior angles of any quadrilateral is 360 degrees.

What defines a kite in terms of sides?

A kite has two pairs of adjacent sides that are equal.

Can a quadrilateral be classified as both a rectangle and a rhombus? If yes, what is it called?

Yes, it is called a square.

What is the main difference between a rectangle and a parallelogram?

A rectangle has all angles equal to 90 degrees, whereas a parallelogram only has opposite angles equal.

What are the properties of the diagonals of a rectangle?

The diagonals of a rectangle are equal in length and bisect each other.

Which quadrilateral is also known as an equilateral quadrilateral?

A rhombus is also known as an equilateral quadrilateral because all its sides are equal.

What makes a trapezium different from other quadrilaterals?

A trapezium (or trapezoid) has only one pair of parallel sides.

In a parallelogram, what can be said about opposite angles?

Opposite angles in a parallelogram are equal.