Similar triangles.
They are similar triangles.
proportional
for two similar triangles , their corresponding angles are equal.
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
The ratio between corresponding sides or angles of similar triangles are equal
Similar triangles.
They are similar triangles.
angles
proportional
True. With similar triangles the corresponding angles are equal.
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.
for two similar triangles , their corresponding angles are equal.
They must be the same.
Yes.
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.
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.