Special Parallelograms Objective: Students will be able to prove and apply properties of special parallelograms.

Rhombus Definition: Opposite sides parallel and all sides are congruent Properties: A Rhombus is a parallelogram and therefore whatever happens in a parallelogram happens in a rhombus – what are these (3) Diagonals bisect the angles in a Rhombus Diagonals are perpendicular

Rhombus Diagonals How would you prove those two properties? Prove Triangles Congruent? Perpendicular Bisector property?

Rectangle Definition: Opposite sides are parallel and all angles are congruent (90) Properties: Remember parallelograms – what are these properties Diagonals are congruent – how would you prove this

Square Definition: Opposite sides parallel, all angles congruent, all sides congruent Properties: Remember Parallelograms, Rhombus, Rectangle A square has all the properties and definitions of all the special parallelograms List them all

Example

Examples

Example

Homework Pg 294 1-16 For problems 1-10 when giving an answer state why you thing that is the correct answer Example 1 Sometimes because the parallelogram could be a rectangle Honors 20 and 21 20 Converse is: If the diagonals of a quadrilateral are congruent and bisect each other, then it is a rectangle.