1. Properties of Quadrilaterals
Quadrilaterals Lesson 1

2. Do Now
9. List the 5 congruence postulates. 10. List the 3 similarity postulates.

3. Classifying Quadrilaterals Notes
Kite
Parallelogram
Trapezoid
Rectangle
Rhombus
Isosceles Trapezoid
square

4. Properties of Quadrilaterals
4 sides
4 angles
Interior angles add to 360°
Exterior angles add to 360°
2 diagonals
Kite
Adj sides ≅
Diagonals ⊥
1 set of opp ∠’s ≅
Shorter diagonal bisected

5. Properties of Quadrilaterals
Trapezoid
Bases ∥
SSI ∠’s supplementary
Median ∥ bases
Median length is average of bases
Isosceles Trapezoid
Bases ∥
SSI ∠’s supplementary
Median ∥ bases
Median length is average of bases
1 set ≅ sides
≅ base angles
≅ diagonals

6. Properties of Quadrilaterals
Parallelogram
Opp sides ∥
Opp sides ≅
Opp ∠’s ≅
Diagonals Bisect
SSI ∠’s supplementary

7. Properties of Quadrilaterals
Rectangle
Opp sides ∥
Opp sides ≅
Opp ∠’s ≅ (all 90°)
Diagonals bisect
Diagonals ≅
SSI ∠’s supplementary
Rhombus
Opp sides ∥
ALL sides ≅
Opp ∠’s ≅
Diagonals bisect
Diagonals ⊥
Diagonals bisect opp ∠’s
SSI ∠’s supplementary

8. Properties of Quadrilaterals
Square
Opp sides ∥
All sides ≅
Opp ∠’s ≅ (all 90°)
Diagonals bisect
Diagonals ≅
Diagonals ⊥
Diagonals Bisect opp ∠’s
SSI ∠’s supplementary

9. Class Example 1
How many different ways can this shape be classified?

10. Class Example 2
How many different ways can this shape be classified?

11. Class Example 3

12. Student Example 1
How many different ways can this shape be classified?

13. Student Example 2
How many different ways can this shape be classified?

14. Answer the questions below about parallelogram ABCD.
Classwork
Workbook Pg #’s 1-6
Answer the questions below about parallelogram ABCD.

15. Answer the questions below about parallelogram ABCD.
Classwork
Workbook Pg #’s 1-6
Answer the questions below about parallelogram ABCD.