Question

6.
(image of two quadrilaterals labeled a and d, with side lengths: a has 24, 15, 16, 17; d has 12, 12.8, 13.6, 19.2. a blue x is drawn between them, and handwritten fractions: 17/13.6, 12/15, 24/19.2, 12.8/16 (note: 10 in denominator may be a typo for 16). also,
o\ and \ye\ (partial) boxes.)

Explanation:

Step1: Check ratios of corresponding sides

For two figures to be similar, their corresponding sides must be in proportion. Let's check the ratios:

• Ratio of the top sides: $\frac{24}{12} = 2$
• Ratio of the left sides: $\frac{15}{12.8} \approx 1.1719$
• Ratio of the right sides: $\frac{17}{19.2} \approx 0.8854$
• Ratio of the bottom sides: $\frac{16}{13.6} \approx 1.1765$

Step2: Compare the ratios

Since the ratios of the corresponding sides are not equal (2, ~1.17, ~0.88, ~1.18 are not the same), the figures are not similar.

Answer:

The two figures are not similar because their corresponding side ratios ($\frac{24}{12}=2$, $\frac{15}{12.8}\approx1.17$, $\frac{17}{19.2}\approx0.89$, $\frac{16}{13.6}\approx1.18$) are not equal.