Parallelograms

​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

Objectives

• To define and classify special types of parallelograms

• To use properties of diagonals of rhombi and rectangles​

Identifying Trapezoids

Parallelogram Definition...



A Parallelogram is a Quadrilateral with Two Pairs of Parallel sides.

Identifying Kites

Kites

A kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.

Kites

In geometry, "vertical angles" refer to the angle formed by two lines that meet at a common point, called the vertex; essentially, it's the angle associated with a specific vertex where two sides of a shape intersect.

Kites

In geometry, "vertical angles" refer to the angle formed by two lines that meet at a common point, called the vertex; essentially, it's the angle associated with a specific vertex where two sides of a shape intersect.

In geometry, "non-vertical angles" refer to the angles in a kite that are NOT located between two pairs of congruent sides, essentially the angles that are opposite the vertex angles, which are always congruent to each other in a kite.