# Classifying quadrilaterals

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##### Intros

###### Lessons

- Introduction to Classifying Quadrilaterals:
- What is a quadrilateral and what geometry concepts are we going to use to classify different types?
- Classifying rectangles and squares
- Classifying parallelograms and rhombuses
- Classifying trapezoids
- Classifying kites
- A review on the 6 different classifications of quadrilaterals

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##### Examples

###### Lessons

**Naming quadrilateral shapes**

Classify the quadrilateral. Think about its sides and angles.**Classifying quadrilateral types**

Answer with the letter on each quadrilateral shape**Angles of quadrilaterals**

Find the missing angle(s) and classify the quadrilateral.-
**Classifying quadrilaterals - word problems**

Read the description and answer with the correct quadrilateral.- I have 2 pairs of parallel & congruent sides. If I do not have right angles, what am I?
- I have 4 congruent sides and these sides make up 2 pairs of parallel sides. If I only have right angles, what am I?
- I have a total angle sum of 360° and only 1 pair of parallel sides. What am I?
- I am to a parallelogram what a square is to a rectangle. What am I?
- I have 2 pairs of adjacent congruent sides and 1 pair of equal opposite angles. What am I?

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##### Practice

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###### Topic Notes

In this lesson, we will learn:

- A quadrilateral is a polygon with 4 sides
- We can look at the properties of a quadrilateral (pairs of parallel sides, pairs of congruent sides, types of angles) to classify into 6 different types
- The special types of quadrilaterals are: rectangle, square, parallelogram, rhombus, trapezoid, and kite

__Notes:__- A
**quadrilateral**is a**2D shape**with 4 straight sides (a 4-sided**polygon**) - A quadrilateral also has 4
**vertices**(corners) - Each corner contains an
**angle**; the total angle sum in any quadrilateral is 360° - There are special quadrilaterals with specific definitions and names
- There will be 6 types of quadrilaterals in this lesson:
**Rectangle, Square, Parallelogram, Rhombus, Trapezoid**, and**Kite** - A
**quadrilateral**can fit the definition of__more than one__of these special types **Rectangles**and**squares:**- Quadrilaterals with
__4 right angles__(all angles are 90° ) - A
**rectangle**has 2 pairs of**opposite**and**equal**sides (**congruent**) - A
**square**is a special type of rectangle where__all 4 sides are equal__(**congruent**) - All squares are rectangles, but
__not__all rectangles are squares - Rectangles and squares can also be considered as
**parallelograms**, just with right angles **Parallelograms**and**rhombuses:**- Quadrilaterals with
__2 pairs of parallel sides__and__2 pairs of opposite equal angles__ - A
**parallelogram**has 2 pairs of**congruent**sides (equal length) - A
**rhombus**has all 4 sides**congruent**(all 4 sides equal length) - All rhombuses are parallelograms;
__not__all parallelograms are rhombuses **Trapezoids:**- Quadrilaterals with
__only 1 pair of parallel sides__ **Kites:**- Quadrilaterals with
__2__(no parallel sides)**adjacent**congruent sides - There is
__1 pair of opposite equal angles__across the line of symmetry - Summary of quadrilateral types and properties (sides and angles):

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