Can a square be called by any other name?

square

Is a square JUST a

square?

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

Let’s ReviewLet’s Review Quadrilaterals with 2 sets of parallel sides:

squarerectangle

parallelogram

rhombus

• 2 sets of parallel sides

• 2 pairs of congruent sides

• 2 sets of parallel sides

• 2 pairs of congruent sides

• 4 right angles

• 2 sets of parallel sides

• 4 congruent sides

• 4 right angles• 2 sets of parallel sides

• 4 congruent sides

Let’s ReviewLet’s Review Quadrilaterals with 1 or less sets of parallel sides:

trapezoid

non-specificquadrilateral

isosceles trapezoid

• 1 set of parallel sides

• 1 set of parallel sides

• 1 pair of congruent sides

• 4 sides

Let’s ReviewA Common Mistake

Thinking that all quadrilaterals are totally separate from each other.

A square and a rectangle are

totally different.Right?

square

rectangleX

Let’s ReviewCore Lesson Compare and contrast a parallelogram and a rhombus.

A parallelogram has:• 2 sets of parallel

sides• 2 pairs of

congruent sides

A rhombus has:• 2 sets of

parallel sides• 4 congruent

sides

parallelogramrhombus

• 2 sets of parallel sides

• 4 congruent sides

• AT LEAST 2 pairs of congruent sides

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

Let’s ReviewCore Lesson Can a square be called by any other name?

square

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

parallelogram rectangle rhombus trapezoidX

SquareRhombusRectangle

ParallelogramQuadrilateral

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

Let’s ReviewGuided Practice Give all the possible names for a rectangle.

rectangle

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

parallelogram rhombus trapezoidsquare

I need 4 congruent

sides!

X X X

RectangleParallelogramQuadrilateral

Let’s ReviewExtension Activities

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.

Let’s ReviewExtension Activities

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.

Let’s ReviewQuick Quiz

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.

Let’s ReviewQuick Quiz

When can a rectangle be called a square?

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