Question

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

Answer 1

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

The diagram is attached with the answer below:-

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

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

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

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

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

Therefore, the correct option is the 4th diagram.

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