Question

In each diagram, ∆ABC has been transformed to yield ∆A'B'C'. Which transformation could NOT be achieved by rotation alone?

Answer 1

Answer: The ∆ABC has been transformed to yield ∆A'B'C'. The fourth diagram shows that the transformation could NOT be achieved by rotation alone.

Explanation:

In first figure ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degree either clockwise or counterclockwise along the midpoint of AB.

The second and third figure are same. In both figures ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degree either clockwise or counterclockwise along the origin.

In fourth figure ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degree either clockwise or counterclockwise along the origin.

But only in fourth figure ∆ABC has been transformed to yield ∆A'B'C' by reflection along the x-axis.

Therefore, the correct option is 4th diagram.

Answer 2

The fourth diagram or the penultimate diagram is the one transformation among the following choices given in the question that could not be achieved by rotation alone. I hope that this is the answer that you were looking for and it has actually come to your great help. It is very important to analyze each diagram properly before getting to the answer.