Quadrilaterals and Their Types

What is a quadrilateral?

• A quadrilateral is a five-sided polygon.

• A quadrilateral is a type of circle.

• A quadrilateral is a three-sided polygon.

• A quadrilateral is a four-sided polygon.

Name the four types of quadrilaterals.

• Hexagon, Octagon, Rhombus, Kite

• Square, Rectangle, Parallelogram, Trapezoid

• Circle, Oval, Triangle, Pentagon

• Scalene, Isosceles, Equilateral, Right

What are the properties of a parallelogram?

• The angles do not add up to 360 degrees

• The diagonals are parallel

• All sides are different lengths

• The properties of a parallelogram include opposite sides are equal in length, opposite angles are equal, and the diagonals bisect each other.

What is a rectangle? How is it different from a square?

• A rectangle is a three-sided shape with all sides being equal in length. A square is a four-sided shape with opposite sides being equal in length.

• A rectangle is a shape with no sides being equal in length. A square is a shape with all sides being equal in length.

• A rectangle is a five-sided shape with opposite sides being equal in length. A square is a six-sided shape with all sides being equal in length.

• A rectangle is a four-sided shape with opposite sides being equal in length and all angles being 90 degrees. A square is a special type of rectangle where all four sides are equal in length.

Explain the properties of a rhombus.

• A rhombus has four right angles

• A rhombus has sides of different lengths

• A rhombus has parallel sides

• A rhombus is a quadrilateral with all sides of equal length and opposite angles of equal measure.

What are the properties of a square?

• A square has three equal sides and three right angles.

• A square has five equal sides and five right angles.

• A square has four equal sides and four right angles.

• A square has two equal sides and two right angles.

What is a trapezoid? How is it different from a parallelogram?

• A trapezoid is a shape with no parallel sides, while a parallelogram is a shape with all sides parallel.

• A trapezoid is a 3D shape, while a parallelogram is a 2D shape.

• A trapezoid is a triangle with all sides of equal length, while a parallelogram is a quadrilateral with unequal sides.

• A trapezoid is a quadrilateral with at least one pair of parallel sides, while a parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Explain the properties of a kite.

• A kite has four sides, with two pairs of adjacent sides that are equal in length. It also has two pairs of adjacent angles that are equal in measure. Additionally, the diagonals of a kite are perpendicular to each other.

• A kite has three sides and three angles.

• A kite has five sides and all sides are equal in length.

• A kite has four sides, with all angles equal to 90 degrees.

What is a cyclic quadrilateral?

• A cyclic quadrilateral is a shape with no sides

• A cyclic quadrilateral is a three-sided figure

• A cyclic quadrilateral is a four-sided figure whose vertices all lie on the circumference of a single circle.

• A cyclic quadrilateral is a five-sided figure

What is a convex quadrilateral?

• A convex quadrilateral is a shape with all sides of different lengths

• A convex quadrilateral is a four-sided polygon with all interior angles less than 180 degrees.

• A convex quadrilateral is a three-sided polygon

• A convex quadrilateral is a five-sided polygon