Quadrilaterals

Multiple Choice

Which of the following best describes a quadrilateral?

• A polygon with four sides

• A polygon with three sides

• A shape with curved edges

• A triangle with equal sides

Multiple Select

Which of the following statements about quadrilaterals and triangles is/are correct?

• A quadrilateral can be divided into two triangles

• The sum of the interior angles of a triangle is 180°

• The sum of the interior angles of a quadrilateral is 360°

• A triangle can be divided into two quadrilaterals

Multiple Select

Which of the following properties are true for all parallelograms?

• Opposite sides are parallel

• Opposite angles are congruent

• All sides are equal

• Opposite sides are equal in length

Multiple Choice

Which of the following statements correctly describes the relationship between rectangles and parallelograms?

• All rectangles are parallelograms, but not all parallelograms are rectangles.

• All parallelograms are rectangles.

• Rectangles and parallelograms are completely unrelated.

• Only some rectangles are parallelograms.

Multiple Choice

Which of the following properties are shared by both rhombuses and rectangles?

• All angles are right angles

• All sides are congruent

• Opposite sides are parallel

• Diagonals are always equal

Multiple Choice

Based on the diagram, which of the following is the most specific classification for a shape that has four congruent sides and four right angles?

• Quadrilateral

• Parallelogram

• Rectangle

• Square

Multiple Choice

What property distinguishes a trapezoid from other quadrilaterals such as parallelograms, rectangles, and squares?

• It has only one pair of parallel sides.

• All sides are congruent.

• All angles are right angles.

• It has two pairs of parallel sides.

Multiple Choice

Which of the following statements best describes an isosceles trapezoid?

• A trapezoid with two pairs of parallel sides.

• A trapezoid with non-parallel sides that are congruent.

• A trapezoid with all sides of equal length.

• A trapezoid with only one right angle.

Multiple Choice

Which of the following statements is true?

• Some trapezoids are parallelograms.

• All trapezoids are quadrilaterals.

• All rectangles are squares.

• A shape cannot be a parallelogram and a quadrilateral.

Multiple Select

Which of the following properties are true for all rectangles?

• All sides are congruent.

• All angles are congruent.

• Only opposite sides are parallel.

• All sides are parallel.

Multiple Choice

Which of the following best describes a trapezoid?

• A quadrilateral with two pairs of parallel sides

• A quadrilateral with only one pair of parallel sides

• A quadrilateral with all sides equal

• A quadrilateral with all angles equal

Multiple Choice

How can you distinguish between a parallelogram and a trapezoid based on their sides?

• A parallelogram has two pairs of parallel sides, while a trapezoid has only one pair of parallel sides.

• A parallelogram has all sides equal, while a trapezoid has all angles equal.

• A parallelogram has all angles equal, while a trapezoid has two pairs of parallel sides.

• A parallelogram has one pair of parallel sides, while a trapezoid has two pairs of parallel sides.

Multiple Choice

Which of the following relationships must be true for quadrilateral KLNM if it is a parallelogram?

• ∠M ≅ ∠L

• KN ≅ LM

• LM ≅ MN

• ∠K ≅ ∠L

Multiple Choice

Which of the following relationships must be true for quadrilateral RSTQ if it is a parallelogram?

• TQ ≅ QR

• ∠T ≅ ∠R

• RS ≅ RQ

• ∠S ≅ ∠R

Multiple Choice

What is a property that all parallelograms share, as shown in the relationships in the images?

• All angles are equal

• Opposite sides are congruent

• All sides are congruent

• All sides are parallel

Multiple Choice

Which of the following is NOT an example of a quadrilateral?

• Square

• Rectangle

• Triangle

• Trapezoid