Question

consider the two rectangles shown. what transformation maps rectangle qrst to rectangle qrst? reflection rotation stretch translation

Explanation:

• Reflection: A reflection flips a figure over a line. The orientation of the figure changes (like left - right or top - bottom reversal). In this case, the relative positions of the vertices (e.g., \(Q\) to \(Q'\), \(R\) to \(R'\), \(S\) to \(S'\), \(T\) to \(T'\)) do not show a flip - over - a - line characteristic.
• Rotation: A rotation turns a figure around a point. The orientation (the way the figure is “pointing”) of the figure changes. Here, the overall “slant” and vertex - to - vertex correspondence (e.g., \(Q\) to \(Q'\), \(R\) to \(R'\), \(S\) to \(S'\), \(T\) to \(T'\)) does not show a turning - around - a - point characteristic.
• Stretch: A stretch changes the size (either in one or two dimensions) of a figure. The side - length ratios of the two rectangles (assuming they are congruent as per the marking of equal - length segments) do not show a size - change characteristic.
• Translation: A translation slides a figure. The shape, size, and orientation of the figure remain the same. Each vertex of rectangle \(QRST\) (\(Q\), \(R\), \(S\), \(T\)) is moved the same distance in the same direction to get the vertices of rectangle \(Q'R'S'T'\) (e.g., \(Q\to Q'\), \(R\to R'\), \(S\to S'\), \(T\to T'\)).

Answer:

translation