This investigation is about discovering the relationships of sides, angles, and the diagonals of the parallelogram. 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: “One pair of opposite sides are _____________.” [br]On the polygon put markings of congruency, right angles, or parallel for the sides or angles.
1. Are any of the sides parallel? [br]a.) If so which pairs?[br]b.) How do you Know ? c.) Can you measure to prove it?
Are any of the sides perpendicular? If so which pairs?[br] [b]If not..[/b] Can you make them perpendicular? How?
Are any of the sides congruent? If so which pairs?
Are any of the angles congruent? If so which pairs? [br]b.) Is there a way to make all the corner angles congruent?[br]
Are any of the angles supplementary? If so which pairs?[br]
Are the diagonals congruent?[br][b]If not..[/b] Can you make them congruent? How?[br]
Do the diagonals bisect each other?[br]b. ) [b]If not..[/b] Can you make them bisect each other How?[br]c.) What kind of figure is it if the diagonals bisect each other?
Do the diagonals bisect opposite angles? [br]b.) [b]If not..[/b] Can you make them ? How?[br]c.) what kind of quadrilateral is it if they are bisected?
Are the diagonals perpendicular?
How mant congruent triangles are formed when one diagonal is drawn? Explain[br][br]a.) How many are formed when two diagonals are drawn? Explain[br][br]b.) How could you prove this using transformations? Be specific.[br]
parallelograms have __________
opposite pairs of side are congruent in a parallelogram
The diagonals in a parallelogram?