Understanding Properties and Hierarchy of Shapes Worksheets

Definition:

Some quadrilaterals also possess the definitions of other quadrilaterals. It is just that these quadrilaterals have even more limitations. For instance, a rectangle is a type of parallelogram with congruent angles.

Summary:

QUADRILATERAL is a closed figure with four sides. 

Rectangle is a quadrilateral with:

• four right angles, meaning four 90-degree angles
• equal opposite sides

Square is a quadrilateral with:

• four right angles, meaning four 90-degree angles
• four equal sides

Parallelogram is a quadrilateral with:

• two pairs of parallel sides
• equal opposite sides
• opposite angles are equal

Rhombus is a parallelogram with:

• four equal sides
• Opposite sides are parallel
• Opposite angles are equal
• Diagonals bisect each other at right angle

Trapezoid  is a quadrilateral with:

• one pair of opposite parallel sides

Kite is a quadrilateral with:

• two pairs of adjacent sides of the same length
• One pair of opposite sides are equal
• One diagonal bisects the other
• Diagonals intersect at right angle

Hierarchy means series of ordered grouping of shapes.

So what does hierarchy of quadrilaterals say?

• Kite is a quadrilateral.
• Trapezoid is a quadrilateral.
• A rhombus is a type of kite. It is also a kind of parallelogram.
• Parallelogram is a type of trapezoid. 
• Rectangle is a parallelogram and at the same time, an isosceles trapezoid. It possesses the properties of both parallelogram and isosceles trapezoid.
• Square has the properties of parallelogram, rhombus, and rectangle.