Rotation 270 counterclockwise about origin is easy, swap the x and y then reverse the sign of the y so (x, y) rotates to (y, -x) Sadly to change the centre we need to translate the centre to the origin, rotate and the translate back. In this case that means adding -1, 2 to x,y respectively, rotating, adding 1, -2 to x,y respectively
B(2, 3) translates to (1, 5) which rotates to (5, -1) and translates back to B’(6, -3) C(6, -4) translates to (5, -2) which rotates to (-2, -5) and translates back to C’(-1, -7) D(7, -6) translates to (6, -4) which rotates to (-4, -6) and translates back to (-3, -8) E(3, -5) translates to (2, -3) which rotates to (-3, -2) and translates back to (-2, -4)
The translation is much easier simply moving each point 8 to the right B’(2, 11), C’(6, 4), D’(7, 2) and E’(3, 3)
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.
