Answer:9. The coordinates at the midpoint is (8,6)10. The coordinates at Point U is (2,0)Step-by-step explanation:Midpoint is the halfway of a line segment to another line.To calculate the midpoint of line M(6,6) and R(10,6)Use this formulaMidpoint (x,y) = (x1 + x2)/2 , (y1+y2)/2At point M, x1 = 6 and y1 = 6At point R, x2 = 10 and y2 = 6Midpoint M(x,y) = (6+10)/2,(6+6)/2= 16/2, 12/2M(x,y) = (8,6)Hence, the midpoint M = (8,6)10.The midpoint M (x,y) = (6,4)Point U = (10,8)Point T = Unknown Using the formulation of midpoint, we can get the coordinates at point TRemember that Midpoint (x,y) = (x1+x2)/2 , (y1+y2)/2Where x = (x1+x2)/2and y = (y1+y2)/2At point U,x1 = 10, y1 = 8At point T, x2 and y2 are unknownAt the midpoint, M(x,y)x = 6 , y = 4Solving for x2 in x = (x1+x2)/2 6 = (10+x2)/2 ---------------Multiply both sides by 22 * 6 = 2 * (10+x2)/212 = 10 + x2 --------------- Collect like terms12 - 10 = x22 = x2x2 = 2Solving for y2 in y = (y1+y2)/24 = (8 + y2)/2 ----------------- Multiply both sides by 22 * 4 = 2 * (8+y2)/28 = 8 + y28-8 = y20 = y2y2 = 0x2,y2 = (2,0)So, the coordinates at Point U = (2,0)