# 6.5 Conditions For Special Parallelograms Worksheet

## What is a Parallelogram?

A parallelogram is a four-sided shape with two pairs of parallel sides. It is a quadrilateral and can be classified as a rectangle, a rhombus, a square, or a trapezoid. To determine which type of parallelogram it is, one must look at the angles and the lengths of the sides.

## Conditions For Special Parallelograms

There are 6.5 conditions for a special parallelogram:

### Condition 1: Opposite Sides Are Congruent

This means that the opposite sides of the parallelogram are equal in length. This is true for all parallelograms.

### Condition 2: Opposite Angles Are Congruent

This means that the opposite angles of the parallelogram are equal in measure. This is true for all parallelograms.

### Condition 3: Adjacent Angles Are Supplementary

This means that the adjacent angles of the parallelogram add up to 180 degrees. This is true for all parallelograms.

### Condition 4: Diagonals Bisect Each Other

This means that the diagonals of the parallelogram divide each other in half. This is true for all parallelograms.

### Condition 5: All Four Sides Are Congruent

This means that all four sides of the parallelogram are equal in length. This is true for squares, rectangles, and rhombi.

### Condition 6: All Four Angles Are Congruent

This means that all four angles of the parallelogram are equal in measure. This is true for squares and rectangles.

### Condition 6.5: One Pair of Opposite Sides Are Parallel

This means that one pair of opposite sides of the parallelogram are parallel to each other. This is true for all parallelograms.

## Conclusion

These 6.5 conditions are what makes a parallelogram a special shape. Knowing these conditions can help you when creating a parallelogram worksheet. It is important to remember that all parallelograms have the 6.5 conditions, but only certain types of parallelograms have some of the conditions.