Questions: Similar polygons are two polygons with the same shape but not necessarily the same size.

Solution Steps

The question seems to be incomplete or incorrectly formatted, as it contains placeholders represented by squares. To address a typical problem involving similar polygons, we would generally focus on the properties of similar polygons, such as corresponding angles being equal and the ratios of corresponding side lengths being equal. However, since the question is not fully clear, I will provide a general approach to solving problems related to similar polygons.

1. Identify the corresponding sides and angles of the two polygons.
2. Verify that all corresponding angles are equal.
3. Calculate the ratio of the lengths of corresponding sides to ensure they are equal.

To determine if two triangles are similar, we first identify the corresponding sides. For triangles with side lengths \([3, 4, 5]\) and \([6, 8, 10]\), the corresponding sides are:

• \(3\) and \(6\)
• \(4\) and \(8\)
• \(5\) and \(10\)

Next, we calculate the ratios of the lengths of corresponding sides:

• \(\frac{3}{6} = 0.5\)
• \(\frac{4}{8} = 0.5\)
• \(\frac{5}{10} = 0.5\)

Since all the ratios of corresponding sides are equal (\(0.5\)), the triangles are similar by the Side-Side-Side (SSS) similarity criterion.

Final Answer