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QUESTION IMAGE

are the polygons below similar? yes no

Question

are the polygons below similar?
yes
no

Explanation:

Step1: Recall Similar Polygon Criteria

For rectangles (polygons with all right angles), similarity requires corresponding sides to be in proportion. Let's denote the first rectangle as \( HIKJ \) with sides 24 and 9, and the second as \( TUWV \) with sides 14 and 6.

Step2: Check Proportions

Calculate the ratios of corresponding sides. For the first pair of sides: \( \frac{24}{14} \approx 1.714 \), and for the second pair: \( \frac{9}{6} = 1.5 \). Since \( \frac{24}{14}
eq \frac{9}{6} \), the side ratios are not equal.

Answer:

no