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.
proportional
Proportional.
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
angles
proportional
Proportional.
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
Proportional.
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Corresponding sides of similar figures are proportional.
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
ratio
ratio