Asked by Ian
Which situation does NOT show two figures that are similar? A. One figure can be mapped to the other using a reflection and a dilation. B. One figure has all corresponding side lengths proportional and corresponding angles equal. C. One figure can be mapped to the other using a dilation and a translation. D. One figure is stretched horizontally but not vertically to form the other.
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Answer: D.
Reason: Similar figures require a uniform dilation (same scale factor in every direction) possibly combined with rigid motions (translations, rotations, reflections). Stretching only horizontally is a non‑uniform scaling (different scale factors in different directions), which does not in general preserve angles or the proportionality of all corresponding side lengths, so the figures need not be similar.
Reason: Similar figures require a uniform dilation (same scale factor in every direction) possibly combined with rigid motions (translations, rotations, reflections). Stretching only horizontally is a non‑uniform scaling (different scale factors in different directions), which does not in general preserve angles or the proportionality of all corresponding side lengths, so the figures need not be similar.
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