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Warm – up for 9.5

This warm-up exercise includes finding the length of a side and the area of a square, using the Pythagorean Theorem. It also covers distance formula problems in coordinate geometry, identifying the type of triangle based on distances, and finding the perimeter of a triangle. Classwork and homework suggestions are provided.

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Warm – up for 9.5

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  1. Warm – up for 9.5 Simplify. 3. A square has a diagonal of 12. Find the length of a side and find the area of the square. (draw the picture and use the Pythagorean Theorem)

  2. Answers 3. side length is and area is 72

  3. 9.5 Coordinate Geometry • Distance Formula Distance Between Two Points =

  4. 2 2 (- - + (- - 4 5) 4 8) 2 2 (- + (- 9) 12) + 81 144 225 15 1) Find the distance between the points.(5,8) & (-4,-4) Distance formula= Plug in the values and simplify

  5. 2 2 (- - + - 7 8) (23 15) 2 2 (- + 15) (8) + 225 64 289 2) Find the distance between the points.A(8,15) and B(-7,23) Distance formula= AB = 17

  6. Try these on your own: 3. (10, 20) and ( 13, 16) 4. (5, -2) and ( 7, -9) 5. (0, 0) and ( -8, -10) 3. 5 4. 5.

  7. 6. Identify the Triangle with the points A(3,-5), B(5,-1), C(7,-3) as Scalene, Isosceles, or Equilateral. Hint: Draw the triangle, then find the distance between A&B, B&C, A&C. Triangle ABC is Isosceles

  8. Find the perimeter of triangle ABC with vertices A(2, 4), B(8, 12), C(24, 0). 8. Determine whether triangle ABC with vertices A(6, -6), B(39, -12), C(24, 18) is scalene, isosceles, or equilateral. AB = 10, BC = 20, AC = isosceles

  9. Classwork: p. 489 #1-6 OR Factoring Game Homework: WS 9.5

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