Question

identifying a transformation
what type of transformation maps \\( \triangle qrs \\) to \\( \triangle q r ^ { prime } s ^ { prime } \\)?
\\( \bigcirc \\) dilation
\\( \bigcirc \\) reflection
\\( \bigcirc \\) rotation
\\( \bigcirc \\) translation

Explanation:

• Dilation: Changes the size of a figure. Since the two triangles (△QRS and △QR'S') seem to be of the same size (judging by the congruent - marking on the sides), dilation is not the transformation.
• Reflection: Flips a figure over a line. There is no indication of a line of reflection in the given diagram.
• Rotation: Turns a figure around a point. There is no center of rotation indicated in a way that would suggest a rotation (e.g., no angle of rotation markings related to a fixed point).
• Translation: Slides a figure without rotating or resizing it. The two triangles (△QRS and △QR'S') have the same shape and size, and it appears that △QRS has been moved (slid) to get △QR'S'.

Answer:

translation