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 horizontal movement

Count the horizontal distance between corresponding points of figure ABCD and its image. The x - coordinates of corresponding points change by 6 units. Moving a figure to the right is a translation along the x - axis in the positive direction.

Step2: Check other transformations

Reflecting across the x - axis would change the sign of the y - coordinates. Reflecting across the y - axis would change the sign of the x - coordinates. Rotating 90° or 180° clockwise around the origin would change the orientation and coordinates in a more complex way. None of these other operations match the given transformation.

Answer:

Translate 6 units to the right.