Answer:
(-1.5, 9) midpoint of AB
Step-by-step explanation:
The midpoint of A"B" is ...
M" = (A" +B")/2 = ((-3, 1) +(4, -9))/2 = (-3+4, 1-9)/2 = (1/2, -4)
We can "undo" the reflection across the x-axis to find M'. Reflecting M" back across the x-axis negates its y-coordinate:
M' = (1/2, 4)
We can undo the translation right 2 and down 5 by translating M' left 2 and up 5.
M = M' +(-2, 5) = (1/2-2, 4 +5)
M= (-1.5, 9)
The midpoint of AB is (-1.5, 9).
