1. Geometry
10.6 Quadrilateral Family

2. 10.6 Categorizing Quadrilaterals Based on Their Properties
Objectives
List the properties of quadrilaterals
Categorize quadrilaterals based upon their properties
Construct quadrilaterals given a diagonal

3. Non-vertex angles are congruent
2 pairs of disjoint, consecutive sides are congruent
Diagonals are perpendicular
One pair of opposite sides are parallel
2 pair of consecutive angles are supplementary
(Interior angles on the same side of the transversal)
Opposite sides are parallel
All sides are congruent
The diagonals are perpendicular bisectors of each other
Opposite angles are congruent
Opposite sides are parallel and congruent
Opposite angles are congruent
Diagonals bisect each other

4. 4 Quadrilaterals
Square, Rectangle, Rhombus, Parallelogram
3 Quadrilaterals
Square and Rectangle, Isosceles Trapezoid
4 Quadrilaterals
Square, Rectangle, Rhombus, Parallelogram
3 Quadrilaterals
Square, Rhombus, Kite

5. Problem 1: Characteristics of Quadrilaterals
Collaborate Problem 1 (7 Minutes)

6. Problem 1: Characteristics of Quadrilaterals

7. Problem 2 Now I Can See the Relationships!
Venn Diagrams (Together)
Visual representation for organizing information
Create a Venn Diagram to represent the relationships between the following quadrilaterals
Trapezoids
Rhombi
Parallelograms
Quadrilaterals
Kites
Rectangles
Squares

8. Venn Diagram Example

9. Problem 2 Now I Can See the Relationships!
Which is the most general name for the polygons with 4-sides?
Quadrilaterals
Which of the polygons are quadrilaterals?
All of them have 4 sides
Which quadrilaterals are parallelograms?
Rhombi, Rectangles and Squares
Which quadrilaterals are not parallelograms?
Trapezoids and Kites
Use the space provided to draw a Venn diagram

10. Quadrilaterals Do the rectangles and rhombi overlap? Parallelograms

11. Quadrilaterals Parallelograms Kites Rectangles Rhombi Trapezoids
Squares
Trapezoids

12. Problem 3: True or False
Collaborate 1-8 (2 Minutes)
True
False

13. Problem 4: Can You Read Joe’s Mind?
Collaborate 1-6 (3 Minutes)
Quadrilateral
Trapezoid, Parallelogram, Rhombus, Rectangle or Square
Parallelogram, Rhombus, Rectangle or Square
Rhombus or Square
Rhombus

14. Create a Flow Chart that Relates the Family of Quadrilaterals (Use Venn Diag)
Trapezoids
Parallelograms
Kites
Isosceles Trapezoids
Rectangles
Rhombi
Squares

15. Unit 9 Performance Task Collaborate to complete
All members of the group should turn in their individual copy
When finished, turn in on round table and start the skills practice

16. Formative Assessment
Skills Practice 10.6
Pg (1-30)