Similar triangles.
If they are enlarged or reduced so that their corresponding sides are the same measure. Actually, only one pair of corresponding sides needs to be of the same measure. Then the similarity ensures all others are as well.
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.
Similar triangles.
If they are enlarged or reduced so that their corresponding sides are the same measure. Actually, only one pair of corresponding sides needs to be of the same measure. Then the similarity ensures all others are as well.
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.
It is given that two triangles are similar. So that the ratio of their corresponding sides are equal. If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.
The ratio between corresponding sides or angles of similar triangles are equal
angles
proportional
Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.When two triangles have corresponding sides with identical ratios, the triangles are similar.Of course if triangles are congruent, they are also similar.
the corresponding sides are congruent
Proportional.
Two triangles are said to be similar if the ratio of the sides of one triangle to the corresponding sides of the other triangle remains the same. One consequence is that all corresponding angles are the same.
If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.