Back to Explain a proof of the Pythagorean Theorem and its converse — Problem 3 · Task Set 26
Exercises: Proving the Pythagorean Theorem and Its Converse
Work through each section in order. The theorem $a^2 + b^2 = c^2$ relates the legs $a$ and $b$ to the hypotenuse $c$ of a right triangle. Show your reasoning where indicated.
Grade 8·22 problems·~35 min·Common Core Math - Grade 8·container·8-g-b-6
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Recall / Warm-Up
These problems review skills you already know: parts of a right triangle, squares of numbers, and triangle angle sums.
1.
What does it mean for one statement to be the "converse" of another? Give one everyday (non-math) example of an "if-then" statement and its converse.