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IM 6.1.9 Practice: Formula for the Area of a Triangle

Select all drawings in which a corresponding height for a given base is correctly identified.

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For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.

How is the area related to the base and its corresponding height?

Here is a right triangle. Which of the following would be a corresponding height if we consider d, as the base.

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Here is a right triangle. Which of the following would be a corresponding height if we consider e, as the base.

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Here is a right triangle. Which of the following would be a corresponding height if we consider f, as the base.

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

Andre drew a line connecting two opposite corners of a parallelogram. Select all true statements about the triangles created by the line Andre drew.

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Here is an octagon. (Note: The diagonal sides of the octagon are not 4 inches long.) While estimating the area of the octagon, Lin reasoned that it must be less than 100 square inches. Do you agree? Explain your reasoning.

Now, find the exact area of the octagon. Show your reasoning.