Parallelograms & Special Parallelgrams

Parallelograms

​Dr. Tom Giles

Parallelograms

​Dr. Tom Giles

​Since Quadrilaterals are polygons with four sides, Parallelograms are Special Quadrilaterals

Parallelograms
(& Special Parallograms)

Parallelograms have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

Parallelograms have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

Rectangles have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

​All four angles are right angles Diagonals are congruent

​Plus:

Rhombuses have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

​All four sides are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles

​Plus:

Squares have...

• Opposite Sides that are Parallel

• Opposite Sides that are Congruent

• Opposite Angles that are Congruent

• Consecutive Angles that are Supplementary

• Diagonals that bisect each other

Four congruent sides​
Four right angles
Diagonals are perpendicular
Diagonals bisect opposite angles

​Plus:

So a square is a rhombus and a rectangle and a parallelogram and a quadrilateral.

Some text here about the topic of discussion

Poll

A parallelogram with four right angles is a

• rhombus

• rectangle

• square

Poll

A parallelogram with four congruent sides is a

• rhombus

• square

• rectangle

Poll

A parallelogram with four congruent sides and four right angles is a

• rhombus

• rectangle

• square

Objectives

• To define and classify special types of parallelograms

• To use properties of diagonals of rhombi and rectangles​

Open Ended

Determine the values of the Rectangle shown at the left.

Open Ended

Determine the values of the Rectangle shown at the left.

Open Ended

Determine the values of the Rhombus shown at the left.

Open Ended

Determine the values of the Square shown at the left.