Special Parallelograms

Precisely define rectangle.

Precisely define rhombus.

Which of the following properties do rectangles possess? (Select all that apply.)

Diagonals are congruent to each other. Consecutive angles are congruent. Opposite angles are supplementary. Opposite sides are congruent. Consecutive angles are supplementary. Opposite angles are congruent. Diagonals are perpendicular to each other. Diagonals bisect a pair of opposite angles. Diagonals bisect each other.

Which of the following properties do rhombuses possess? (Select all that apply.)

Consecutive angles are congruent. Opposite angles are congruent. Diagonals are perpendicular to each other. Opposite sides are congruent. Diagonals bisect a pair of opposite angles. Opposite angles are supplementary. Diagonals bisect each other. Consecutive angles are supplementary. Diagonals are congruent to each other.

What special property distinguishes rectangles from non-rectangular parallelograms?

What are the two special properties of rhombuses that distinguish them from other parallelograms?

Directions: Using Definition to Construct Rectangle and Verifying Special Property

1. Use the DEFINITION of rectangle to construct a rectangle on the GeoGebra applet below.[br]2. Use GeoGebra to verify the special property.

Create a Rectangle and Verify Special Property

Briefly explain how you verified the special property of rectangles.

Directions: Using Definition to Construct Rhombuses and Verifying Special Properties

1. Use the DEFINITION of rhombus to construct a NON-RECTANGULAR rhombus on the GeoGebra applet below. ( Try this yourself, but if you need help see the video below.)[br][br]2. Use GeoGebra to verify the two special properties of rhombuses.[br][br]3. Be prepared to show and explain how you verified the two special properties.

Special Parallelograms

Directions: Using Definition to Construct Rectangle and Verifying Special Property

Create a Rectangle and Verify Special Property

Directions: Using Definition to Construct Rhombuses and Verifying Special Properties

Information: Special Parallelograms