Use the image to answer the question.Three triangles are labeled upper A upper B upper C, upper M upper N upper P, and upper A prime upper B prime upper C prime.Khalil is using rigid transformations to map △ABC to △MNP. What type of transformation does ray AA′ indicate?(1 point)ResponsesRay AA′ indicates a rotation.Ray upper A upper A prime indicates a rotation.Ray AA′ indicates a dilation.Ray upper A upper A prime indicates a dilation.Ray AA′ indicates a reflection.Ray upper A upper A prime indicates a reflection.Ray AA′ indicates a translation.

1 answer

To determine what type of transformation ray AA' indicates, we need to understand the properties of the rigid transformations involved in mapping one triangle to another. A ray connecting points A and A' would indicate the direction and distance between the two points after the transformation.

  • If point A is moved to point A' without changing the triangle's shape and orientation, that would typically indicate a translation.
  • If point A' is the mirror image of point A across a line of symmetry, this would indicate a reflection.
  • A rotation would imply that A is turned around a specific point to reach A'.
  • Dilation would mean that A is stretched or shrunk towards or away from a specific point, potentially changing the size of the triangle.

If ray AA' connects point A to its image A' directly and does not imply a change in size, orientation, or reflection across a line, the most plausible conclusion is that it indicates a translation. Thus:

Ray AA' indicates a translation.