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Can a square be called by any other name?

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Can a square be called by any other name?

Is a square JUST a square?

square

In this lesson you will learn how to name all the “families” a quadrilateral belongs toby looking at multiple attributes.

Quadrilaterals with 2 sets of parallel sides:

rectangle

- 2 sets of parallel sides
- 2 pairs of congruent sides
- 4 right angles

- 2 sets of parallel sides
- 2 pairs of congruent sides

parallelogram

- 2 sets of parallel sides
- 4 congruent sides
- 4 right angles

rhombus

- 2 sets of parallel sides
- 4 congruent sides

square

Quadrilaterals with 1 or less sets of parallel sides:

- 1 set of parallel sides

isosceles trapezoid

trapezoid

- 4 sides

- 1 set of parallel sides
- 1 pair of congruent sides

non-specific

quadrilateral

Thinking that all quadrilaterals are totally separate from each other.

rectangle

X

A square and a rectangle are totally different.

Right?

square

A rhombus is just a parallelogram with extra attributes, so I say that a rhombus IS a parallelogram.

Compare and contrast a parallelogram and a rhombus.

- A rhombus has:
- 2 sets of parallel sides
- 4 congruent sides

- A parallelogram has:
- 2 sets of parallel sides
- 2 pairs of congruent sides

rhombus

parallelogram

- 2 sets of parallel sides

- 4 congruent sides

- AT LEAST 2 pairs of congruent sides

Can a square be called by any other name?

Square

Rhombus

Rectangle

Parallelogram

Quadrilateral

- A square has:
- 2 sets of parallel sides
- 4 congruent sides
- 4 right angles

rectangle

parallelogram

trapezoid

rhombus

X

square

In this lesson you have learned how to name all the “families” a quadrilateral belongs toby looking at multiple attributes.

Give all the possible names for a rectangle.

- A rectangle has:
- 2 sets of parallel sides
- 2 pairs of congruent sides
- 4 right angles

Rectangle

Parallelogram

Quadrilateral

rectangle

parallelogram

I need 4 congruent sides!

trapezoid

rhombus

X

X

X

square

- Draw a picture of all the kinds of quadrilaterals you know. Below your picture, write the most specific name for that quadrilateral and circle it. Below that, write all the OTHER names you can give to that quadrilateral.

- Create a graphic representation (example: a shape map) to show how each of the quadrilaterals are connected/related. Be prepared to explain your graphic to another classmate and defend your organization system.

Look at the shape below. List all the names that could be given to this shape. Explain why this shape can be named that way.

When can a rectangle be called a square?

List the “more specific” kinds of parallelograms and tell what makes them special.