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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 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 Theorem How could we show this? midpoint midpoint A B A B

  9. Example

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

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

  12. Example

  13. Homework 5.1 Exercises 1-11, 12-18 even, 24-28 even, 33-39 odd

  14. How many feet of steel is needed to complete the triangular portion of the structure. Example

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

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

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