It is a statement about the relationship of the lengths of corresponding sides of some unspecified figures.
It is a statement about the relationship of the lengths of corresponding sides of some unspecified figures.
It is a statement about the relationship of the lengths of corresponding sides of some unspecified figures.
You call it similarity.
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.
Proportional.
Yes, similar figures are side proportional, meaning that the lengths of corresponding sides of similar figures maintain a constant ratio. This ratio is the same for all pairs of corresponding sides, reflecting the overall proportionality of the figures. Thus, if two figures are similar, the ratio of any two corresponding sides will be equal to the ratio of any other pair of corresponding sides.
A ratio of corresponding side lengths being proportional means that the lengths of sides from two similar geometric figures have a consistent relationship. For instance, if two triangles are similar, the ratio of the lengths of their corresponding sides is the same across all three pairs of sides. This proportionality allows for the use of scale factors in calculations involving the figures, such as area and perimeter. Thus, if one triangle has sides of length 3, 4, and 5, and the similar triangle has sides of length 6, 8, and 10, the ratio of corresponding sides is 1:2.
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
Corresponding sides of similar figures are proportional.
ratio
ratio
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.