9.By the Segment Addition Postulate, SAP, we haveXY + YZ = XZsoYZ = XZ - XY = 5 cm - 2 cm = 3 cm10.M is the midpoint of XZ=5 cm soXM = 5 cm / 2 = 2.5 cm11.XY + YM = XMYM = XM - XY = 2.5 cm - 2 cm = 0.5 cm12.The midpoint is just the average of the coordinate A(-3,2), B(5,-4)[tex]M = (A+B)/2 = \left( \dfrac{-3 + 5}{2}, \dfrac{2 + -4}{2} \right)[/tex]Answer: M is (1,-1)You'll have to plot it yourself.13.For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.[tex]AB^2 =(5 - -3)^2 + (-4 - 2)^2 = 8^2 + 6^2 = 100[/tex]Answer: AB=10M is the midpoint of AB soAnswer: AM=MB=514. B is the midpoint of AC. We have A(-3,2), B(5,-4)B = (A+C)/22B = A + CC = 2B - AC = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)Check the midpoint of AC:(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, goodAnswer: C is (13, -10)Again I'll leave the plotting to you.