Use the image to answer the question.

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)
Responses

Ray AA′ indicates a rotation.
Ray upper A upper A prime indicates a rotation.

Ray AA′ indicates a translation.
Ray upper A upper A prime indicates a translation.

Ray AA′ indicates a reflection.
Ray upper A upper A prime indicates a reflection.

Ray AA′ indicates a dilation.

Answer 1

To determine what type of transformation ray \( AA' \) indicates, we need to analyze the relationship between triangles \( \triangle ABC \) and \( \triangle MNP \) based on the placement of points \( A \), \( A' \), and how they relate to each other.

1. If \( AA' \) is perpendicular to a line of reflection between the two triangles, then it indicates a reflection.
2. If \( AA' \) is part of a circular path around a point (where \( A \) goes to \( A' \)), it would indicate a rotation.
3. If \( A' \) is simply a translation of \( A \) without any flipping or turning, it indicates a translation.
4. If the sizes of the triangles are different (and if it scales to get from \( A \) to \( A' \)), it indicates a dilation.

Given the options and the context of a rigid transformation (which does not involve scaling), the correct answer is likely:

Ray \( AA' \) indicates a reflection.

This is based on the nature of rigid transformations, where one of the essential types is reflection, and \( A \) to \( A' \) typically forms a line segment perpendicular to the line of reflection.