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Question
- jack says that if two figures are reflections of each other, he can use a translation to match one figure to the reflection. what types of figures are necessary for jacks statement to be correct?
For two figures that are reflections of each other, a translation alone is not sufficient to make one figure match the reflection. Reflection involves a flip across a line of symmetry, and translation only moves a figure without changing its orientation in relation to a line of reflection. Jack's statement is correct for non - symmetric figures. For symmetric figures (like a circle, a square, an equilateral triangle etc.), a translation can make one figure match its reflection in some cases. So, symmetric figures are necessary for Jack's statement to be incorrect. Non - symmetric figures are necessary for Jack's statement to be correct.
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Non - symmetric figures