QUESTION IMAGE
Question
are these shapes similar? work it out not feeling ready yet? these can help: name, measure, and classify angles lines, line segments, a
Step1: Check side - length ratios
For \(\triangle DEF\) with side - lengths \(34\) yd, \(43\) yd, \(50\) yd and \(\triangle PQR\) with side - lengths \(34\) yd, \(50\) yd, \(55\) yd. Calculate the ratios of corresponding sides. \(\frac{34}{34}=1\), \(\frac{50}{50} = 1\), \(\frac{43}{55}
eq1\).
Step2: Apply similarity criterion
Two triangles are similar if the ratios of their corresponding side - lengths are equal. Since the ratios of the side - lengths of \(\triangle DEF\) and \(\triangle PQR\) are not all equal.
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