Question

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?

a. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis

b. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis

c. Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis

d. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis

Answer 1

d. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis

Explanation:

Solid transformation is a process which changes the orientation, shape and size of a given objects. Types of solid transformation are: rotation, reflection, dilation etc. This process would produce an image of the initial figure which has been transformed appropriately.

From the given question, figure PQRS can be transformed into P′Q′R′S′ by a counterclockwise rotation at
`90^(o)` about the origin. This would be followed by a reflection about the y-axis.

Thus, the correct option is D.