false
Yes, the corresponding sides of similar triangles have proportional lengths. This means that the ratios of the lengths of corresponding sides are equal. For example, if two triangles are similar, the ratio of the lengths of one triangle's sides to the lengths of the other triangle's corresponding sides will be the same across all three pairs of sides. This property is fundamental in solving problems related to similar triangles.
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
The ratio of corresponding side lengths in similar figures is proportional, meaning that if two shapes are similar, the lengths of their corresponding sides will maintain a constant ratio. This ratio is consistent regardless of the size of the shapes, allowing for the comparison of their dimensions. For example, if one triangle has side lengths of 3, 4, and 5, and another similar triangle has side lengths of 6, 8, and 10, the ratio of corresponding sides is 1:2. This proportionality is fundamental in geometry for solving problems involving similar shapes.
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
Yes, in the context of similar shapes.
False
ratio
Corresponding sides of similar figures are proportional.
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
Proportional.
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
Yes, in the context of similar shapes.
Two figures are similar if: - The measures of their corresponding angles are equal. - The ratios of the lengths of the corresponding sides are proportional.
The statement is true.