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Bellwork

Bellwork. For the following problems, use A(0,10), B(24,0), C(0,0) Find AB Find the midpoint of CA Find the midpoint of AB Find the slope of AB. Bellwork Solution. For the following problems, use A(0,10), B(24,0), C(0,0) Find AB. Bellwork Solution.

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Bellwork

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  1. Bellwork For the following problems, use A(0,10), B(24,0), C(0,0) Find AB Find the midpoint of CA Find the midpoint of AB Find the slope of AB

  2. Bellwork Solution For the following problems, use A(0,10), B(24,0), C(0,0) Find AB

  3. Bellwork Solution For the following problems, use A(0,10), B(24,0), C(0,0) Find the midpoint of CA

  4. Bellwork Solution For the following problems, use A(0,10), B(24,0), C(0,0) Find the midpoint of AB

  5. Bellwork Solution For the following problems, use A(0,10), B(24,0), C(0,0) Find the slope of AB

  6. Midpoint Theorem and Coordinate Proof Section 5.1

  7. The Concept • This chapter covers some very important theorems and properties of triangles • These theories will aid us in our introductory exploration of trigonometry in Chapter 7

  8. Theorem Theorem 5.1: Midsegment Theorem The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side How could we show this? midpoint midpoint A B A B

  9. Example

  10. Example Find AB, if A & B are midpoints 3x+8 B A 2x+24 G J

  11. Definition Coordinate Proof Process of placing a geometric figure on the coordinate plane and then using variables to represent the coordinates to prove various statements (k,h) (2k,0)

  12. Example

  13. Homework 5.1 Exercises 10, 11, 22-26, 30, 33, 35-38

  14. Example Prove that Triangle PQR is isosceles P (0,k) Q (-h,0) R (h,0)

  15. Most Important Points • Midpoint Theorem • Placing a geometric figure on the coordinate plane

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