which sequence of transformations will change figure pqrs to figure p′q′r′s′? select one: a. counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis b. counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis c. counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis d. counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis

Step-by-step explanation:

First, we need to compare vertices from the original figure and the transformed one.

You can observe that coordinates where changed of position. Also, the vertical coordinate of the transformed figure has opposite sign.

In other words, the transformation follows the rule

However, notice that the coordinates are not the same as the given transformation. That is because the second transformation applied was a reflection accros the x-axis which follows the rule

Applying the rule, we have

Which are congruent with the given transformed coordinates.

Therefore, the transformations are a 90° rotation counterclockwise and a reflection accros the x-axis. The right answer is B.