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8.2.F Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems.

c. How can you understand this?. a. c 2 = a 2 + b 2. b. 8.2.F Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems. 8.2.G Apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane. 8.1.A

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8.2.F Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems.

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  1. c How can you understand this? a c2 =a2 + b2 b 8.2.F Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems. 8.2.G Apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane. 8.1.A Solve one-variable linear equations. 8.2.E Quickly recall the square roots of the perfect squares from 1 through 225 and estimate the square roots of other positive numbers. 7.1.C Fluently and accurately add, subtract, multiply, and divide rational numbers.

  2. Stand for the Pledge to the Flag of the United States

  3. a a b b b b c c c c a a a a c c c c b b b b a a Write and explanation of how the drawings demonstrate the Pythagorean Theorem? C2 = a2 + b2 b2 c2 a2 What is the area of the YELLOW square? What is the area of the RED square? What is the area of the BLUE square? WHAT IS YOUR CONCLUSION b x b = b2 = AREA OF THE BLUE SQUARE a x a = a2 = AREA OF THE BLUE SQUARE C x C = C2 = AREA OF THE RED SQUARE

  4. c c c b b a a c b c2 WHAT IS THE AREA OF THE RED SQUARE. c x c = c2 = AREA

  5. b a c c b b a a b a What is your conclusion? b2 a2 c2 WHAT IS THE AREA OF THE YELLOW SQUARE. WHAT IS THE AREA OF THE BLUE SQUARE. c2 = a2 + b2 b x b = b2 = AREA a x a = a2 = AREA

  6. c How can you understand this? a c2 =a2 + b2 b 8.2.F Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems. 8.2.G Apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane. 8.1.A Solve one-variable linear equations. 8.2.E Quickly recall the square roots of the perfect squares from 1 through 225 and estimate the square roots of other positive numbers. 7.1.C Fluently and accurately add, subtract, multiply, and divide rational numbers.

  7. Y What is the length of segment AB? .(7,6) B .(4,2) A X Use what you know about the Pythagorean Theorem, Rise and Run, and Coordinates and determine the length of line AB What is the RISE from A to B? What is the RUN from A to B? If you were to draw in the RISE and the RUN, what kind of triangle would you have? A

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