QUESTION IMAGE
Question
are these shapes similar?
l 26 m i
26 m 26 m
k 26 m j
n 29 m q
29 m 29 m
29 m o 29 m p
yes no
Step1: Recall similarity condition
For two polygons to be similar, their corresponding angles must be equal and the ratios of their corresponding side - lengths must be equal.
Step2: Check angle equality
Both shapes appear to be parallelograms (as opposite sides are equal). In parallelograms, opposite angles are equal. But we don't know if the corresponding angles of the two parallelograms are equal.
Step3: Check side - length ratio
The side - lengths of the first parallelogram are all 26 m. The side - lengths of the second parallelogram are all 29 m. The ratio of the side - lengths of the first parallelogram to the second parallelogram is $\frac{26}{29}
eq1$. Since the ratios of the corresponding side - lengths are not equal, the shapes are not similar.
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no