This investigation is about discovering the relationships sides, angles, and the diagonals of the rectangle. Try to discover which lengths are congruent, parallel, perpendicular, or bisected. Discover which angles are congruent, complementary, supplementary, or bisected. Try to generalize your findings by using descriptions like opposite or consecutive with what and how many that applies to. For example a generalization might be: “The diagonals in a rectangle are always________________” On the polygon put markings of congruency, right angles, or parallel for the sides or angles.
1. Are any of the sides parallel? Use the tools to measure________________? and find out ? Which pairs?[br][br] [br]
[br]2. Are any of the sides perpendicular? Use the tools to measure, How can you find out ? Which pairs?[br][br][br]
[br][br]3. Are any of the sides congruent? How do you know? Which pairs?[br][br][br]
[br][br]4. Are any of the angles congruent? How do you know? Which pairs?[br][br][br]
[br][br]5. Are any of the angles supplementary? Which pairs?[br][br][br]
[br][br][br]6. Are the diagonals congruent? How do you know? [br][br][br]
[br][br]7. Do the diagonals bisect each other? Explain.[br][br]
8. Do the diagonals bisect opposite angles? Explain.[br]
9. Are the diagonals perpendicular? How can you tell?[br]
10. How many congruent triangles can you find? Can you match them up by using a transformation? Explain.
List the special properties that set a rectangle apart from paralellograms, squares and rhombi.
A rectangle is like a parallelogram because it has two pairs of parallel sides.
The diagonals of a rectangle are ?