Question

similarity - item 35518
complete the statement below about the two figures.
the two figures are
because \\(\frac{4}{8}\\) \\(\frac{6}{10}\\).

Explanation:

Step1: Calculate the ratio of the heights

For the first rectangle, the height is 4 and the length is 8, so the ratio of height to length is $\frac{4}{8}=\frac{1}{2}$.

Step2: Calculate the ratio of the heights of the second rectangle

For the second rectangle, the height is 6 and the length is 10, so the ratio of height to length is $\frac{6}{10}=\frac{3}{5}$.

Step3: Compare the two ratios

Since $\frac{1}{2} = 0.5$ and $\frac{3}{5}=0.6$, and $0.5
eq0.6$, the two ratios are not equal. For two rectangles to be similar, the ratios of corresponding sides must be equal. So the two figures are not similar because $\frac{4}{8}
eq\frac{6}{10}$.

Answer:

not similar; ≠