This investigation is about discovering the relationships sides, angles, and the diagonals of the rhombus. 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 of a rhombus__________ at right angles(are perpendicular)” On the polygon put markings of congruency, right angles, or parallel for the sides or angles.
1. Are any of the sides parallel? What would you have to measure to check? Measure to see(think-- rise to run ratio), Which pairs are parallel?[br][br]
[br] [br]2. Are any of the sides perpendicular? How can you make measurements to check? Which pairs?[br][br]
[br][br]3. Are any of the sides congruent? Which pairs are ?[br][br]
[br][br]4. Are any of the angles congruent? Which pairs?[br][br]
[br]5. Are any of the angles supplementary? Which pairs?[br]
[br]6. Are the diagonals congruent? Explain[br][br]
[br]7. Do the diagonals bisect each other? Explain[br][br][br]
[br][br][br]8. Do the diagonals bisect opposite angles? Explain[br][br][br]
9. Are the diagonals perpendicular? Explain
What are the properties of a rhombus? Be specific.
How is a rhombus different than a parallelogram, a rectangle, and a trapezoid?
A rhombus has __________________
Squares are rhombi but rhombi are not necessarily squares
For a figure to be a rhombus