What is a quadrilateral?

• A shape with 3 sides

• A shape with 4 sides

• A shape with 5 sides

• A shape with 6 sides

Answer explanation

A quadrilateral is a shape with 4 sides, making the correct answer choice 'A shape with 4 sides'.

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

• Opposite sides are parallel

• All sides are of equal length

• Opposite sides are equal in length

• Opposite angles are equal

Answer explanation

The characteristic 'All sides are of equal length' is NOT a characteristic of a parallelogram. In a parallelogram, opposite sides are parallel and opposite angles are equal, but the sides are not necessarily of equal length.

What makes a quadrilateral a rectangle?

• All sides are of equal length

• Opposite sides are parallel and all angles are right angles

• Two sides are parallel

• It has at least one right angle

Answer explanation

A quadrilateral is a rectangle when opposite sides are parallel and all angles are right angles.

Which quadrilateral has all sides of equal length and all angles of equal size?

• Rectangle

• Square

• Rhombus

• Parallelogram

Answer explanation

A square is the quadrilateral with all sides of equal length and all angles of equal size, making it the correct choice in this case.

A trapezoid is a quadrilateral with __________.

• No parallel sides

• Two pairs of parallel sides

• One pair of parallel sides

• Four right angles

Answer explanation

A trapezoid is a quadrilateral with one pair of parallel sides, distinguishing it from other quadrilaterals.

Which of the following statements is true for a rhombus?

• All sides are of equal length and opposite sides are parallel

• Only opposite sides are of equal length

• All angles are right angles

• Only one pair of sides is parallel

Answer explanation

The statement 'All sides are of equal length and opposite sides are parallel' is true for a rhombus.

What is the difference between a rhombus and a square?

• A square has all right angles, but a rhombus does not necessarily.

• A rhombus has all sides of equal length, but a square does not.

• A square has parallel sides, but a rhombus does not.

• There is no difference; they are the same.

Answer explanation

A square has all right angles, but a rhombus does not necessarily.

Which statement is true about all quadrilaterals?

• They all have at least two acute angles.

• They all have four sides.

• They all have at least one pair of parallel sides.

• They all have sides of equal length.

Answer explanation

The correct statement about all quadrilaterals is that they all have four sides.

What is a kite in terms of quadrilaterals?

• A quadrilateral with two distinct pairs of adjacent sides that are equal in length

• A quadrilateral with all sides of equal length

• A quadrilateral with four right angles

• A quadrilateral with one pair of parallel sides

Answer explanation

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length.

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

• Opposite sides are equal in length

• All angles are right angles

• Consecutive angles are supplementary

• Diagonals bisect each other

Answer explanation

The correct choice is 'All angles are right angles' because this property is specific to rectangles, not parallelograms.