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DO NOW

DO NOW. 1. Find the square root of each number. a) 49 b) 64 c) 144 Evaluate each expression for m = -3 and n = 7 a) (m – n)² b) (n – m)² c) m² + n² Evaluate each expression for x = 6 and y = -8 a) (x – y)² b) √x² + y² c) x + y 2. The Coordinate Plane. Geometry

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DO NOW

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  1. DO NOW 1. Find the square root of each number. a) 49 b) 64 c) 144 • Evaluate each expression for m = -3 and n = 7 a) (m – n)² b) (n – m)² c) m² + n² • Evaluate each expression for x = 6 and y = -8 a) (x – y)² b) √x² + y² c) x + y 2

  2. The Coordinate Plane Geometry Week 3 of 9 Unit 1: Logic & Reasoning

  3. Standards & Objective Standard 17.0 Students prove theorems by using coordinate geometry, including the midpoint of a line segment and the distance formula. Objective • To find the distance between two points in the coordinate plane • To find the coordinates of the midpoint of a segment in the coordinate plane

  4. Finding Midpoint

  5. Finding Midpoint

  6. Midpoint Formula M =

  7. I Do QS has endpoints Q(3,5) and S(7,9). Find the coordinates of its midpoint M.

  8. You Do AB has endpoints at A(-3,-2) and B(9,10). Find the coordinates of its midpoint X.

  9. Finding Distance Distance Formula d =

  10. I DO Find the distance between G(3,1) and P(6,5)

  11. WE DO Find the distance between T(5,2) and R(-4,-1)

  12. YOU DO AB has endpoints A(1,-3) and B(-4,4). Find AB.

  13. Finding an Endpoint The midpoint of XY is M(4,-6). X has coordinates (2,-3) Find the coordinates of Y. Use the Midpoint Formula.

  14. HOMEWORK Worksheet: “PRACTICE 1-8” #s 1-16 Due Monday 9/21 No Exceptions (Will NOT be accepted late) SHOW YOUR WORK!!!!!!!!!!!

  15. Q (8,7) • Exit Slip • What is the length of the line segment PQ? (SHOW YOUR WORK) • 9 units • 10 units • 13 units • 14 units P (0,1)

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