Parallelograms 1 2 3 4 5 6 Quadrilateral

Parallelograms 1. 2. 3. 4. 5. 6. Quadrilateral with 2 pairs of parallel sides 2 pairs of opposite sides congruent 2 pairs of opposite angles congruent Diagonals bisect each other Same side supplementary angles *1 pair of opposite sides BOTH parallel and congruent.

3 types of Parallelograms n 1. Rectangle n 2. Rhombus n 3. Square

Rectangle n Definition: a parallelogram with 4 right angles and congruent diagonals. n Has all the characteristics of a parallelogram PLUS 2 extras.

Rhombus n Definition: a parallelogram with all sides congruent, perpendicular anglebisecting diagonals. n Has all the characteristics of a parallelogram PLUS 3 extras.

Square n Definition: a parallelogram with all the characteristics of rectangles and rhombuses. n Has all the characteristics of a parallelogram PLUS 5 extras.

TIME FOR SOME…. . n Confusion!!!!

Every rectangle is a… n parallelogram

Every rhombus is a… n parallelogram

Every square is a… n parallelogram, n This rhombus, rectangle guy’s the “head honcho”! He’s kind of like you are…involved in everything

Time to… n Take a minute to look over your characteristics and your foldable. n Close your notebook and hide your foldable. n Eyes on me!

True/False n n n n 1. Every rectangle is a parallelogram. FALSE! 2. Every square is a rectangle. TRUE! 3. Every rhombus is a square. FALSE! 4. Every square is a rhombus. TRUE!

True/False continued… n n n n 5. Every rhombus is a parallelogram. TRUE! 6. Every rectangle is a rhombus. FALSE! 7. Every square is a parallelogram. TRUE! 8. Every parallelogram is a rectangle. FALSE!

: ) n Having Fun Yet? Here’s some more challenging brain teasers…

Which parallelograms have… n 1. Diagonals congruent? n Rectangle (it’s under the tab) and square (it has rectangle’s properties) n 2. Diagonals perpendicular? n Rhombus (it’s under the tab) and square (it has rhombus’s properties) n 3. Diagonals that bisect each other? n Rectangle, rhombus, and square (it’s under the parallelogram tab, so they all have it!)

Which parallelograms have… n 4. All right angles? n Rectangle (it’s under the tab) and square (it has rectangle’s properties) n 5. All sides congruent? n Rhombus (it’s under the tab) and square (it has rectangle’s properties) n 6. Same side supplements? n Rectangle, rhombus, and square (it’s under the parallelogram tab, so they all have it!)

Let’s talk diagonals! Rhombus Rectangle Square Bisect each other (pgram) Perpendicular (flap) Congruent (flap) Perpendicular (rhombus flap) Angle bisectors (flap) Bisect each other (pgram) Angle bisectors (rhombus flap) Congruent (rectangle flap)

Joke time! n What do you call / ABC after a car accident? n Drum roll please…. … … … n A RECTANGLE!