# Lesson 3 Ways to Look at Quadrilaterals

Let’s sort and identify quadrilaterals.

## Warm-up How Many Do You See: Brick Pattern

How many bricks have 2 pairs of parallel sides?

## Activity 1 Quadrilateral Hunt

Find the quadrilaterals that have each of the following attributes. Record their letter names here.

attribute

quadrilaterals with the attribute

no right angles

one pair of parallel sides

one pair of perpendicular sides

same length for all sides

same size for all angles

same length for only two sides

no parallel sides

two obtuse angles

Choose one sentence to complete based on your work.

I noticed some quadrilaterals …

I noticed that all quadrilaterals …

I noticed that no quadrilaterals …

If you have time… Do you think it is possible for a quadrilateral to have:

More than 2 acute angles?

More than 2 obtuse angles?

Exactly 3 right angles?

If you think so, sketch an example. If you don’t think so, explain or show why you think it is impossible.

## Activity 2 What’s True about These Quadrilaterals?

Here are four sets of quadrilaterals.

Quadrilaterals D and AA are squares

Quadrilaterals K, Z, and AA are rectangles.

Quadrilaterals N, U, and Z are parallelograms.

Quadrilaterals AA, EE, and JJ are rhombuses.

Write 4–5 statements about the sides and angles of the quadrilaterals in each set. Each statement must be true for all the shapes in the set.

Square: | Rectangle: |

Rhombus: | Parallelogram: |

## Activity 3 Guess Again

Partner A:

Write down an attribute that a quadrilateral could have. Don’t show it to your partner.

Find 3 quadrilaterals that have that attribute and 3 that don’t. Place them in the columns of the table.

Partner B:

Study the quadrilaterals chosen by your partner.

Pick another quadrilateral from the set. Ask: “Does this quadrilateral have the attribute?”

Find at least 1 quadrilateral that has the attribute and 1 that doesn’t.

Guess the attribute. If your guess is off, ask more questions before guessing again.

Switch roles after the attribute is guessed correctly.

## Practice Problem

## Problem 1

Here are 3 rhombuses:

What attributes do the rhombuses share?

What attributes are different in the three rhombuses?