3A. Plot the following points to create parallelogram ABCD.[br]A(0,0); B(6,0); C(7,4); D(1,4).[br][br]Use the line tool to create segments AB, BC, CD and DA.
1. Use the slope tool to find the slope of each side of the parallelogram.[br] What do you notice about the slopes of opposite sides?[br]
2. Use the measurement tool to find the length of each side of the parallelogram.[br] What do you notice about about the lengths of opposite sides?[br]
3. Use the measurement tool to find the angle measurement for each angle of the parallelogram.[br] What do you notice about the measurement of opposite angles?[br][br]
4. What do you notice about the measurement of any two consecutive angles?[br] Based upon your findings, what do you know about any two consecutive angles of a parallelogram?[br] Why is this true?[br]
5. Create the diagonals for parallelogram ABCD by using the line tool.[br] Create segment AC and find its length and slope. [br] Create segement BD and find its length and slope.[br] Are the diagaonals congruent?[br] Are the diagonals parallel, perpendicular or neither? Justify your answer.
6. Use the point tool to find the intersection of the two diagonals (Point E).[br] Find the length of the each of the four segements the diagaonals were divided.[br] What do you notice about these lengths?[br] What is the relationship between the two diagonals?
7. There are 8 angles created by the diagonals, 2 at each corner of the parallelogram.[br] Use the angle measurement tool to find the measure of each of these angles.[br] What do you notice about these angles? Why is this true?
3B. Plot the following points to create parallelogram ABCD.[br]A(0,0); B(2,4); C(8,6); D(6,2).[br][br]Use the line tool to create segments AB, BC, CD and DA.
1. Use the slope tool to find the slope of each side of the parallelogram.[br] What do you notice about the slopes of opposite sides?[br]
2. Use the measurement tool to find the length of each side of the parallelogram.[br] What do you notice about about the lengths of opposite sides?[br]
3. Use the measurement tool to find the angle measurement for each angle of the parallelogram.[br] What do you notice about the measurement of opposite angles?[br][br]
4. What do you notice about the measurement of any two consecutive angles?[br] Based upon your findings, what do you know about any two consecutive angles of a parallelogram?[br][br]
5. Create the diagonals for parallelogram ABCD by using the line tool.[br] Create segment AC and find its length and slope. [br] Create segement BD and find its length and slope.[br] Are the diagaonals congruent?[br] Are the diagonals parallel, perpendicular or neither? Justify your answer.
6. Use the point tool to find the intersection of the two diagonals (Point E).[br] Find the length of the each of the four segements the diagaonals were divided.[br] What do you notice about these lengths?[br] What is the relationship bewtween the two diagonals?
7. There are 8 angles created by the diagonals, 2 at each corner of the parallelogram.[br] Use the angle measurement tool to find the measure of each of these angles.[br] What do you notice about these angles?
What are the properties of parallelograms that you discovered?
Use your knowledge to complete parallelogram worksheet #1-14. (14 points)[br][br]Check in w/ Mrs. Edmonds!