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A quadrilateral is a polygon that has 4 sides.

One way that you can classify quadrilaterals is by the position of their sides, side length, and angle measure.

A parallelogram is a quadrilateral where opposite sides are parallel (hence, the name) and congruent. This is a more general term for a quadrilateral. PARALLELOGRAM

The following shapes are all specifically named parallelograms.

A rhombus is a quadrilateral with 4 congruent sides. A rhombus is a type of parallelogram. PARALLELOGRAM RHOMBUS Notice the similarities between the parallelogram and the rhombus. Although a parallelogram may look very similar to a rhombus, remember the key to being a rhombus is the congruent sides.

A rectangle is another type of parallelogram. A rectangle is a parallelogram that also incorporates 4 right angles. PARALLELOGRAM Although the rectangle shown may not look much like the parallelogram, a rectangle is still a parallelogram. Remember that a parallelogram only has to have opposite parallel and congruent sides. A rectangle fits that description, so hence, it is a parallelogram. RECTANGLE

A square is a very special quadrilateral, since it incorporates the features of a parallelogram, rhombus, and rectangle all in one little shape. Notice the similarities between the shapes. PARALLELOGRAM RHOMBUS RECTANGLE SQUARE

Is a square really a quadrilateral, parallelogram, rhombus, and a rectangle? Let’s find out!

A quadrilateral is a polygon with 4 sides. Does a Square fit that description? Yes, a square fits that description! SQUARE A square is a polygon… And it has 4 sides…

A parallelogram is a quadrilateral where opposite sides are parallel and congruent. Does a Square fit that description? Yes, a square fits that description perfectly. SQUARE These two opposite sides are parallel and congruent... And so are these two sides!

A rhombus is a quadrilateral with 4 congruent sides. A rhombus is a type of parallelogram. Does a Square fit that description? Yes, a square fits that description perfectly also. SQUARE We already know that a square is a parallelogram. And all the sides are congruent…

A rectangle is a parallelogram that incorporates 4 right angles. Does a Square fit that description? Yes, a square fits that description perfectly also. SQUARE We already know that a square is a parallelogram. And all the angles are right angles (90°)

As we just saw, a square is indeed a… Quadrilateral Parallelogram Rhombus …and Rectangle… ALL IN ONE!

But there are quadrilaterals that aren’t parallelograms. Next, we’ll look at those…

A trapezoid is a quadrilateral that has ONLY 1 pair of parallel sides. Unlike the other quadrilaterals, a trapezoid isn’t a parallelogram. It’s just a trapezoid… and, of course, a quadrilateral. TRAPEZOID

A trapezium is quadrilateral with no pairs of parallel sides. A TYPE OF TRAPEZIUM

Identify this shape with all of its possible names.

A SQUARE……IS ALSO KNOWN AS A(N)...  Quadrilateral  Parallelogram  Rhombus  Rectangle

A PARALLELOGRAM……IS ALSO KNOWN AS A(N)...  Quadrilateral

A RHOMBUS……IS ALSO KNOWN AS A(N)...  Quadrilateral  Parallelogram

A TRAPEZIUM……IS ALSO KNOWN AS A(N)...  Quadrilateral

A RECTANGLE……IS ALSO KNOWN AS A(N)...  Quadrilateral  Parallelogram

A TRAPEZOID……IS ALSO KNOWN AS A(N)...  Quadrilateral

Identify this shape with its most specific name.

THIS SHAPE’SMOST SPECIFIC NAME IS…  A Square

THIS SHAPE’SMOST SPECIFIC NAME IS…  A Rectangle

THIS SHAPE’SMOST SPECIFIC NAME IS…  A Rhombus

THIS SHAPE’SMOST SPECIFIC NAME IS…  A Trapezoid

THIS SHAPE’SMOST SPECIFIC NAME IS…  A Parallelogram

THIS SHAPE’SMOST SPECIFIC NAME IS…  A Trapezium