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.
IM 6.1.4 Practice: Parallelograms
Use the pen tool to mark all figures that are parallelograms.
For each figure you [i]did not [/i]mark above: [br][list][*]Identify it by its letter.[/*][*]Explain how you know it i[i]s not[/i] a parallelogram.[/*][/list]
Decompose and rearrange this parallelogram to make a rectangle. The shapes and point are moveable.
What is the area of this parallelogram? Explain your reasoning. [br]Feel free to use the pen tool (in the custom app above) to help support your explanation.
Find the area of the parallelogram below. Explain your reasoning.
Explain why this quadrilateral is not a parallelogram.[br][br][img]data:image/png;base64,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[/img]
Find the area of this shape. Show your reasoning.
Find the area of this shape. Show your reasoning.
Find the area of the rectangle with each set of side lengths.
5 in and [math]\frac{1}{3}[/math] in
Find the area of the rectangle with these side lengths.
5 in and [math]\frac{4}{3}[/math] in
[math]\frac{5}{2}[/math] in and [math]\frac{4}{3}[/math] in
[math]\frac{7}{6}[/math] in and [math]\frac{6}{7}[/math] in