Question

similarity and ratios. the following figures are similar. what is the value of the unknown side? 1) $\frac{6}{8}=\frac{3}{x}rightarrow 6x = 24rightarrow x = 4$ 2) $\frac{8}{12}=\frac{2}{x}rightarrow 8x = 24rightarrow x = 3$ 3) $\frac{16}{14}=\frac{8}{x}rightarrow 16x=8\times14rightarrow x = 7$ 4) open - ended question. please write down the proportion for question#4. type your answer here. rewatch

Explanation:

Step1: For similar - figures, set up proportion

If two figures are similar, the ratios of their corresponding sides are equal. Let the unknown side of the fourth - pair of similar figures be \(x\). The ratio of the corresponding sides of the first pair of similar sides is \(\frac{6}{36}\), and the ratio of the other pair of corresponding sides is \(\frac{x}{54}\).

Step2: Write the proportion equation

The proportion is \(\frac{6}{36}=\frac{x}{54}\).

Answer:

\(\frac{6}{36}=\frac{x}{54}\)