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3
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consider triangles abc and qpr shown.
triangle abc is reflected and then translated onto triangle qpr. since the transformations
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Step1: Analyze the transformation types
Rigid motions (reflection, translation, rotation) preserve the shape and size of a figure. A dilation changes the size of a figure.
Step2: Check the triangles
Since triangle \(ABC\) is reflected and then translated onto triangle \(QPR\), and these are rigid motions. Rigid motions do not change the size or shape of the triangle.
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Since the transformations only involve rigid motions, the triangles are congruent.