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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.

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Presentation on theme: "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."— Presentation transcript:

1 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 For the following problems, use A(0,10), B(24,0), C(0,0) Find AB

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

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

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

6 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 midpoint How could we show this? A AB B

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

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 (2k,0) (k,h)

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13 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.

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

16 Midpoint TheoremMidpoint Theorem Placing a geometric figure on the coordinate planePlacing a geometric figure on the coordinate plane


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