Warmup

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

Special Parallelograms Chapter 7.4

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

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

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

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

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

Examples