How are a square and a rhombus similar and

different?

squarerhombus

In this lesson you will learn how to compare and contrast quadrilaterals by listing the

attributes they share and those they don’t.

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

Let’s ReviewCore Lesson

A square has:• 2 sets of parallel

sides• 4 congruent sides• 4 right angles

A rhombus has:• 2 sets of

parallel sides• 4 congruent

sides

squarerhombus

• 2 sets of parallel sides • 4 right

angles• 4 congruent sides

How are a square and a rhombus similar and

different?

Let’s ReviewCore Lesson How are a square and a rhombus similar and different?

similar different• They both have

all congruent sides (4 equal sides).

• They both have 2 sets of parallel sides.

• A square must have 4 right angles.

In this lesson you have learned how to compare and contrast quadrilaterals by listing the

attributes they share and those they don’t.

Let’s ReviewGuided Practice What makes a trapezoid different from a parallelogram?

different• A parallelogram MUST

have 2 pairs of parallel sides, and a trapezoid has only 1.

• A parallelogram MUST have 2 pairs of congruent sides, and a trapezoid may or may not have any.

parallelogram • 2 sets of parallel sides

• 2 pairs of congruent sides

trapezoid • 1 set of parallel sides

• 1 pair of congruent sides (isosceles)

Let’s ReviewExtension Activities

Choose two quadrilaterals for a classmate. Ask him/her to compare and contrast them for you. Have him/her tell you what makes them similar and what makes them different.

Let’s ReviewExtension Activities

Make a list of all the quadrilaterals you know. Sort them into groups based on attributes they share. Be ready to explain why you chose to sort them the way you did.

Let’s ReviewQuick Quiz

What attributes are shared between a square and a rectangle?

How are a rectangle and a parallelogram similar and different?