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two similar triangles are shown. δrst was, then dilated, to create δzxy…

Question

two similar triangles are shown.
δrst was, then dilated, to create
δzxy.
rotated
reflected
translated
dilated

Explanation:

Brief Explanations
  • A reflection is a transformation that flips a figure over a line. In this case, if we assume a vertical line of reflection (for example), triangle \( \triangle RST\) can be flipped (reflected) over that line.
  • Rotation would turn the triangle around a point, but there's no indication of a turn - like orientation change from \( \triangle RST\) to \( \triangle ZXY\) that would suggest rotation.
  • Translation would slide the triangle without flipping or turning, but the orientation (left - right position of vertices relative to the apex) has changed in a non - sliding (flipping) way.
  • Since the problem states that after the first transformation there is a dilation (a size change), and we are looking for the non - size transformation, dilation is not the first step.

Answer:

reflected