To show how AS follows from the definition of congruence, answer the following question. What rigid transformation maps △A"B"C"→△DEF ? (1 point) Responses reflection reflection dilation dilation translation translation rotation

1 answer

To determine what rigid transformation maps Triangle A"B"C" to Triangle DEF, we can analyze the possible transformations: reflection, translation, and rotation.

A rigid transformation preserves the size and shape of a figure, which means it can be achieved through:

  1. Translation - This moves the figure from one position to another without rotating or flipping it.
  2. Rotation - This turns the figure around a fixed point without altering its shape or size.
  3. Reflection - This flips the figure over a line, creating a mirror image.

Given the absence of specific information about the orientation and positioning of triangles A"B"C" and DEF, we cannot definitively select one of the options without additional context.

However, if the triangles are congruent and can be positioned to overlap perfectly with one another, the transformation in question could be any of the rigid transformations listed above.

If we have information that the triangles need to be flipped (reflected), rotated, or simply moved (translated) to match, we could choose accordingly.

To provide a direct answer, if both triangles are aligned but in different positions, translation could be the likely choice. If they're oriented differently, then rotation might be the answer. If they mirror each other across a line, then reflection would be appropriate.

Without specific visual details or orientations given, a general answer cannot be confirmed. Please check the orientations of the triangles to select the most appropriate transformation.