Use the image to determine the type of transformation shown.

Image of polygon ABCD and a second polygon A prime B prime C prime D prime to the right.

Group of answer choices

Horizontal translation

Vertical translation

Reflection across the y-axis

1 answer

To determine the type of transformation between polygon ABCD and polygon A'B'C'D', we typically consider the following:

  1. Horizontal Translation: If the shapes are exactly the same, but one has simply been moved left or right, it’s a horizontal translation.

  2. Vertical Translation: If one polygon has been moved up or down without changing its orientation or shape, it’s a vertical translation.

  3. Reflection across the y-axis: If the shape has been flipped over the y-axis, with points mirrored over the y-axis, then it is a reflection across the y-axis.

Without actually seeing the image, I'd recommend checking the positions of the corresponding points.

  • If the figure has simply moved left/right (holding its orientation), select Horizontal translation.
  • If it has moved up/down (holding its orientation), select Vertical translation.
  • If it appears that the figure is a mirror image on the opposite side of the y-axis, select Reflection across the y-axis.

If you can provide a description or details about the positions of the points, I can help you identify the transformation type more specifically!