8.GR.B.4: Understand and reason about the Pythagorean Theorem and its extensions. a. Use diagrams, examples, or informal reasoning to explain the Pythagorean Theorem and why it applies to all right triangles. b. Use the converse of the Pythagorean Theorem to determine whether a set of three side lengths forms a right triangle, and extend this reasoning to identify whether a triangle is acute or obtuse using Pythagorean inequalities.

Understand and reason about the Pythagorean Theorem and its extensions. a. Use diagrams, examples, or informal reasoning to explain the Pythagorean Theorem and why it applies to all right triangles. b. Use the converse of the Pythagorean Theorem to determine whether a set of three side lengths forms a right triangle, and extend this reasoning to identify whether a triangle is acute or obtuse using Pythagorean inequalities.

Example Problems

Find a different way to partition a

\text{regular hexagon}

into

8

\text{congruent figures}

.

Find a different way to partition a

\text{regular hexagon}

into

4

\text{congruent figures}

.

Find yet another way to partition a

\text{regular hexagon}

into

8

\text{congruent figures}

.

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