IM 6.1.8 Lesson: Area of Triangles

Han made a copy of Triangle M and composed three different parallelograms using the original M and the copy. For each parallelogram Han composed, identify a base and a corresponding height, and write the measurements on the drawing.

Find the area of each parallelogram Han composed. Show your reasoning.

Find the areas of at least two of these triangles. Show your reasoning.

Find the area of each parallelogram Han composed. Show your reasoning.

Find the area of the parallelogram. Show your reasoning.

What do you notice about the relationship between the area of this new parallelogram and the original one?

Take the small triangle and the trapezoid, and rearrange these two pieces into a different parallelogram. Find the area of the new parallelogram you composed. Show your reasoning.

How do you think the area of the large triangle compares to that of the new parallelogram: Is it larger, the same, or smaller? Why is that?

Find the area of the large triangle. Show your reasoning.

You can also [i]describe [/i]how the task above could be solved:

Can you decompose this triangle and rearrange its parts to form a rectangle? Show how it could be done.

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