Solution: If a shape is being translated neither it's shape nor size changes.When we translate a shape we just move a shape or geometrical figure by certain distance either horizontally or vertically or both horizontally and vertically.
Coordinates of Triangle CAT is →C(0,0), and A(-2,1), and T(-1,4).
In option (a) vertices C has not been translated , but A and T are translated.Which is Untrue because we have to move all the vertices by same value. But x and y can have different value.
In option (b) all the coordinates C,A,and T is being translated along→ x by 2 units , horizontally right, but not translated in vertical direction.
C(0,0)⇒C(0+2,0+0)→C(2,0)
A(-2,1)⇒C(-2+2,1+0)→C(0,1)
T(-1,4)⇒C(-1+2,4+0)→C(1,4)
In option C, Coordinates of A and B are changed but not of C, So in this case translation can't happen.
In option D , C is being translated 2 units horizontally left , but amount of translation in A and T are different.
So , Option (b) is true.