Answer:
Only option C is correct, i.e. A’B’ and AB are equal in length.
Step-by-step explanation:
Given is the graph of line AB and it says to rotate it 270 degrees counter-clockwise.
From the graph, the coordinates of A and B are as follows:-
A(1, 3) and B(5, 3)
The rule for 270 degrees counterclockwise rotation is as follows:-
Rotation₂₇₀ (x, y) → (y, -x)
So A(1, 3) → A'(3, -1) and B(5, 3) → B'(3, -5)
Finding slope of AB = (3-3)/(5-1) = 0
Finding slope of A'B' = (-5+1)/(3-3) = ∞
It means AB and A'B' are NOT parallel, but perpendicular lines.
Finding length of AB = (5-1) = 4.
Finding length of A'B' = (-1+5) = 4.
It means Length AB = Length A'B'.
Hence only option C is correct, i.e. A’B’ and AB are equal in length.
