IM 6.1.4 Lesson: Parallelograms

Figures A, B, and C are [b]parallelograms[/b]. Figures D, E, and F are not parallelograms. Study the examples and non-examples.[br][br][img]data:image/png;base64,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[/img][br][br] What do you notice about the number of sides that a parallelogram has?[br]
What do you notice about opposite sides of a parallelogram?
What do you notice about opposite angles of a parallelogram?[br]
Find the area of this parallelogram on the left. Explain your reasoning.
Change the parallelogram by dragging the green points at its vertices. Then find its area and explain your reasoning.
If you used the polygons on the side, how were they helpful? If you did not, could you use one or more of the polygons to show another way to find the area of the parallelogram? Try to do so.
Find the area of each parallelogram. Show your reasoning.
Find the area of the parallelogram below. Explain your reasoning.
Close

Information: IM 6.1.4 Lesson: Parallelograms