On the Cartesian plane, the midpoint between two points A(a,b) and B(c,d) is M(m,n). If is moved vertically upwards 8 units and horizontally to the right 2 units, and is moved vertically downwards 2 units and horizontally to the left 10 units, then the new midpoint between A' and B' is M'(m,n). What is the distance between M and M' ?
Please explain thoroughly because I have tried multiple ways and I think my approach is correct but my work is not. Thank you
This graph should help. (Hint: Use Pythagoras on the right-angled triangle.)