Quadrilaterals Mastery Quiz

Which of the following is a characteristic of all quadrilaterals?

• All sides are equal in length.

• They have four sides.

• All angles are right angles.

• They have at least one pair of parallel sides.

Answer explanation

The characteristic of all quadrilaterals is that they have four sides.

What makes a square a special type of rectangle?

• A square has four right angles.

• A square has two pairs of parallel sides.

• All sides of a square are equal in length.

• All of the above.

Answer explanation

A square is a special type of rectangle because it has four right angles, two pairs of parallel sides, and all sides are equal in length.

Which property is unique to rectangles and not necessarily shared by all parallelograms?

• Opposite sides are parallel.

• Opposite sides are equal in length.

• All angles are right angles.

• Both pairs of opposite sides are parallel.

Answer explanation

The property unique to rectangles and not necessarily shared by all parallelograms is that all angles are right angles.

What is a defining characteristic of a parallelogram?

• All sides are equal in length.

• All angles are right angles.

• Opposite sides are parallel and equal in length.

• It has at least one pair of parallel sides.

Answer explanation

The defining characteristic of a parallelogram is that opposite sides are parallel and equal in length.

How does a rhombus differ from a trapezoid?

• A rhombus has four sides of equal length.

• A trapezoid has one pair of parallel sides.

• A rhombus has all right angles.

• A and B are correct.

Answer explanation

A rhombus has four sides of equal length, and a trapezoid has one pair of parallel sides, so both A and B are correct.

Which quadrilateral has exactly one pair of parallel sides?

• Square

• Rectangle

• Trapezoid

• Parallelogram

Answer explanation

A trapezoid is the only quadrilateral with exactly one pair of parallel sides, making it the correct choice.

What is true about the diagonals of a rectangle?

• They are perpendicular.

• They bisect each other.

• They are equal in length.

• Both B and C are correct.

Answer explanation

The diagonals of a rectangle bisect each other and are equal in length, so both B and C are correct.

Which statement is true for all squares?

• Diagonals are perpendicular.

• Diagonals bisect the angles from which they are drawn.

• Diagonals are equal in length.

• All of the above.

Answer explanation

All of the statements are true for all squares, so the correct answer is 'All of the above.'

Identify the quadrilateral that has both pairs of opposite sides parallel but not all sides equal in length.

• Square

• Rectangle

• Rhombus

• Trapezoid

Answer explanation

The correct choice is Rectangle because it has both pairs of opposite sides parallel but not all sides equal in length.

Which of the following is NOT a property of a parallelogram?

• Opposite angles are equal.

• The diagonals bisect each other.

• All angles are right angles.

• Consecutive angles are supplementary.

Answer explanation

The property 'All angles are right angles' is NOT a property of a parallelogram, as a parallelogram can have angles that are not right angles.