Discovering the Differences and Similarities between Parallelogram, Rectangle, Rhombus, and Square

Parallelogram, Rectangle, Rhombus, and Square

Quadrilaterals that have two pairs of parallel sides

What are the similarities and differences between a Parallelogram, Rectangle, Rhombus, and Square?

Similarities:

A parallelogram, rectangle, rhombus, and square all belong to the family of quadrilaterals.

All these shapes have opposite sides that are parallel to each other.

They also share the property that the sum of their interior angles is always equal to 360 degrees.

Differences:

Parallelogram:

A parallelogram is a quadrilateral with opposite sides parallel to each other.

It has two pairs of parallel sides and its opposite angles are equal.

A parallelogram may or may not have four right angles.

Rectangle:

A rectangle is a parallelogram with all its angles equal to 90 degrees.

So, opposite sides of a rectangle are parallel to each other, and all its angles are right angles.

Rhombus:

A rhombus is a parallelogram in which all sides are equal in length.

Opposite angles are equal, and its diagonals bisect each other at right angles.

Rhombus may or may not have 90 degree angles.

Square:

A square is a special type of rectangle in which all sides are equal in length, and all angles are right angles.

It is also a rhombus as it has equal sides and its diagonals bisect each other at 90 degrees.

Therefore, a square is both a rectangle and a rhombus.

More Answers:
Mastering the Art of Writing with Conjunctions: A Beginner’s Guide to Coordinating, Subordinating, and Correlative Conjunctions.
Master the Characteristics and Formulas of a Square – Your Ultimate Guide to Geometry
Mastering Rhombus Geometry: Properties, Formulas, Applications, and More

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