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.