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Download 10012555.5 Properties of Parallelograms
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5.5 Properties of Parallelograms 1.) On the isometric dot paper below, draw a parallelogram. Use a straightedge to make sure that the lines are perfectly straight. Use the lines on the grid to make sure that the lines are perfectly parallel. Do not draw a rectangle or a square. Label your parallelogram LOVE to indicate how you feel about math. 2.) Measure the opposite angles of the parallelogram with a protractor. Write down the measures of each of the four angles below labeling which angle has which measure. What do you notice? Parallelogram Opposite Angles Conjecture Opposite angles of a parallelogram are ____________________________. 3.) Add this conjecture to your list of conjectures in your binder. If you aren’t sure you have the conjecture correct, check with the teacher before adding it. 4.) Look back at the measures from problem 2. Compare the measures of the consecutive angles of the parallelogram. What do you notice? Parallelogram Consecutive Angles Conjecture Consecutive angles of a parallelogram are ____________________________. 5.) Add this conjecture to your list of conjectures in your binder. If you aren’t sure you have the conjecture correct, check with the teacher before adding it. 6.) Carefully measure all four sides of the parallelogram using inches. Measure to the nearest 1/16 of an inch. Write down the measures of each side below labeling which side has which measure. What do you notice? Parallelogram Opposite Sides Conjecture Opposite Sides of a parallelogram are ____________________________. 7.) Add this conjecture to your list of conjectures in your binder. If you aren’t sure you have the conjecture correct, check with the teacher before adding it. 8.) Finally, go back and draw in the two diagonals of the parallelogram. Look carefully at these two diagonals of the parallelogram. Can you see any relationship between these two diagonals? Parallelogram Opposite Sides Conjecture The diagonals of a parallelogram ___________________________________________. 9.) Add this conjecture to your list of conjectures in your binder. If you aren’t sure you have the conjecture correct, check with the teacher before adding it. Open your book to page 282-283 and read the information about vectors which starts on the bottom of P282 and goes through P283.
