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 transcript:

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

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

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

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

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

Section 5.1

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

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

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

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)

5.1 Exercises 1-11, even, even, odd

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

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

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