Unit 8 - Lesson 7 - Grade 8: Illustrative Mathematics

What do you notice? What do you wonder?

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What is the total area of each figure?

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Find the area of each of the 9 smaller regions shown the figures and label them.

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Add up the area of the four regions in Figure F and set this expression equal to the sum of the areas of the five regions in Figure G. If you rewrite this equation using as few terms as possible, what do you have?

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Find the unknown side lengths in these right triangles.

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Explain how you can transform the pieces arranged in Figure 1 to make an exact copy of Figure 2.

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Explain how you can transform the pieces arranged in Figure 2 to make an exact copy of Figure 3.

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If the right triangle in Figure 4 has legs a and b and hypotenuse c, what have you just demonstrated to be true?

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The Pythagorean Theorem is

• True for all triangles
• True for all right triangles
• True for some right triangles
• Never true