Question
Khalil is using rigid transformations to map △ABC to △MNP . What type of transformation does ray AA′ indicate? (1 point)
Possible Answers:
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.
Possible Answers:
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.
Answers
GPT-4o mini
To determine what type of transformation ray AA' indicates, we need to consider the properties of the different types of rigid transformations:
- **Translation**: Moves every point of a shape the same distance in the same direction.
- **Rotation**: Turns the shape around a fixed point (the center of rotation) by a certain angle.
- **Reflection**: Flips the shape over a line (the line of reflection).
- **Dilation**: Resizes the shape; this type is not a rigid transformation because it alters the distances between points.
Since ray AA' suggests a directed line segment from point A to point A' and does not indicate a resize (dilation) or an alteration in orientation (which would be more indicative of rotation or reflection), it implies a translation of point A to point A'.
Therefore, if the question is looking for the correct interpretation of the transformation indicated by ray AA', the appropriate answer would be that "Ray AA' indicates a translation."
- **Translation**: Moves every point of a shape the same distance in the same direction.
- **Rotation**: Turns the shape around a fixed point (the center of rotation) by a certain angle.
- **Reflection**: Flips the shape over a line (the line of reflection).
- **Dilation**: Resizes the shape; this type is not a rigid transformation because it alters the distances between points.
Since ray AA' suggests a directed line segment from point A to point A' and does not indicate a resize (dilation) or an alteration in orientation (which would be more indicative of rotation or reflection), it implies a translation of point A to point A'.
Therefore, if the question is looking for the correct interpretation of the transformation indicated by ray AA', the appropriate answer would be that "Ray AA' indicates a translation."