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5. given that the bottom shape is the original, determine if these two …

Question

  1. given that the bottom shape is the original, determine if these two polygons are similar. no they are not similar yes - they are similar

Explanation:

Step1: Check corresponding side ratios

$\frac{RL}{QR} = \frac{30}{18} = \frac{5}{3}$, $\frac{MS}{QS} = \frac{40}{24} = \frac{5}{3}$, $\frac{LM}{RS} = \frac{60}{36} = \frac{5}{3}$

Step2: Check included angles

The included angles between the corresponding sides are marked equal.

Answer:

Yes - they are similar