Properties of Quadrilaterals Quadrilaterals Lesson 1

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

Classifying Quadrilaterals Notes Kite Parallelogram Trapezoid Rectangle Rhombus Isosceles Trapezoid square

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

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

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

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

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

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

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

Class Example 3

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

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

Answer the questions below about parallelogram ABCD. Classwork Workbook Pg. 114-115 #’s 1-6 Answer the questions below about parallelogram ABCD.

Answer the questions below about parallelogram ABCD. Classwork Workbook Pg. 114-115 #’s 1-6 Answer the questions below about parallelogram ABCD.