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Geometry - Center of Gravity Activity Name ________________________________ 1. Graph the triangle with vertices A(0,0), B(30,12), and C(12,0). 2. Find and plot the midpoint of each side. Show your work. AB : M = ____________ (Label point X) BC : M = ____________ (Label point Y) AC : M = ____________ (Label point Z) 3. With a ruler, draw CX , AY , and BZ . 4. Write the equation of the lines from Question 3 in y = mx + b form. a) CX b) AY c) BZ 5. Using your equations from Question 4, find the point of intersection of lines CX and BZ . 6. This point found in Question 4 is known as the center of gravity. In geometry, what is the name we give to this point of concurrency?