angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
proportional
Similar triangles.
They are similar triangles.
Proportional.
They are two triangles whose corresponding sides and angles are the same.
angles
proportional
Similar triangles.
They are similar triangles.
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.
They are two triangles whose corresponding sides and angles are the same.
for two similar triangles , their corresponding angles are equal.
If two triangles are similar, their corresponding angles are equal, and their corresponding sides are proportional. This means that the ratio of the lengths of any two corresponding sides is the same for both triangles. Additionally, the area ratio of the triangles is equal to the square of the ratio of their corresponding side lengths.
The ratio between corresponding sides or angles of similar triangles are equal
Yes.