1. Warmup

2. Warmup
Hint: sum of all the interior angles is (n-2) • 180⁰ and the n is 5

3. Special Parallelograms
Chapter 7.4

4. 3 Special Parallelograms
Each of the following shapes has all the properties of a parallelogram PLUS properties of its own
Rhombus:
Parallelogram that has 4 congruent sides
Diagonals on a rhombus are always perpendicular
Diagonals on a rhombus bisect
each of the angles

5. 3 Special Parallelograms
Rectangle
Parallelogram that has 4 right angles
Diagonals on a rectangle are always congruent

6. 3 Special Parallelograms
3) Square
Parallelogram that has 4 congruent sides AND 4 right angles
A square is also a rhombus and a rectangle – so it shares all of their properties
Diagonals are perpendicular
Diagonals bisect each of the angles
Diagonals are always congruent
AC = DB

7. The Quadrilateral Family (Parallelogram Side)
Four sides
Pairs of sides parallel and congruent
Opposite angles congruent
Consecutive angles supplementary
Diagonals bisect each other
parallelogram
rhombus
All sides congruent
Diagonals perpendicular
Diagonals bisect the angles
Diagonals congruent
rectangle
All of the above
square

8. Examples
Parallelogram Rectangle
Rhombus Square
Classify these quadrilaterals. They can be more than one thing!
LN = PM

9. Examples