Question

which single transformation maps figure abcd onto its image? choose all that apply. translate 6 units to the right. translate 4 units to the right. reflect across the x - axis. reflect across the y - axis. rotate 90° clockwise around the origin. rotate 180° clockwise around the origin.

Explanation:

Step1: Analyze translation

By observing the x - coordinates of corresponding points of figure ABCD and its image, we can see that the x - coordinate of each point of the image is 6 units greater than that of the original figure. So a translation of 6 units to the right maps the figure.

Step2: Analyze other transformations

For reflection across x - axis, the y - coordinates of points would change sign which is not the case. For reflection across y - axis, the x - coordinates of points would change sign which is not the case. For rotation 90° clockwise around the origin, the transformation rule (x,y)→(y, - x) does not match the given transformation. For rotation 180° clockwise around the origin, the transformation rule (x,y)→(-x, - y) does not match the given transformation. And a translation of 4 units to the right is incorrect as the shift is 6 units.

Answer:

Translate 6 units to the right.