Question

The ASA Congruence Theorem Quick Check
3 of 53 of 5 Items



Question
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)
Responses

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

Ray AA′ indicates a translation.
Ray upper A upper A prime indicates a translation.
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page 17 of 17

Answer 1

In the context of rigid transformations, a ray such as \( AA' \) typically indicates a transformation where the points \( A \) and \( A' \) remain congruent. If \( A' \) is a point that corresponds to \( A \) after performing a transformation, it can be connected to the nature of the transformation itself.

If \( AA' \) represents a direct correspondence between two points, where one is the image of the other after transformation without any resizing or alteration in shape, it means that there is no dilation involved.

- If \( AA' \) represents a movement around a point (such as rotating around point A), it indicates a rotation.
- If \( AA' \) connects two points with one point being the mirror image of the other across a line, it indicates a reflection.
- If it indicates a straight slide from one position to another without rotating or flipping, then it indicates a translation.

The correct transformation identified by ray \( AA' \) in this scenario depends on its contextual representation and geometric arrangement in the provided image.

However, without the image directly available for reference, if ray \( AA' \) simply connects point \( A \) to its transformed image \( A' \) while maintaining the original distance, it does not indicate dilation, reflection, or rotation.

If the aim is to find a rigid transformation (without size change), the only transformation that could fit your description under rigid context is:

**Ray \( AA' \) indicates a translation.**

If you have more context or the specific arrangement in the image, it may be possible to narrow it down further!