Question

Complete the prediction of the result of applying the sequence of transformations to the given figure. AABCis translated along the vector (-3,-1), reflected across the x-axis and then reflected across the y-axis.

Answer 1

The figure will be translated along the vector (-3, -1).

The translation moves the figure down one unit and left three units, mapping A to the left of y-axis and C closer to the origin.

The reflection across the x-axis will map the second sequence below the x-axis and will change the orientation.

The reflection across the y-axis will map the figure mostly into Quadrant III, A maybe in quadrant IV and will again change the orientation.

The final image is not the same size and shape as the preimage and has the same orientation.

As you can see in the image, the "orange" is the final image of the figure.

It has the same size and shape but NOT in the same orientation when compared to the original or preimage.