Another way to determine similarity between triangles is to compare the ratios of the lengths of their corresponding sides. If the ratios of the lengths of all corresponding sides are equal, then the triangles are similar. This is known as the Side-Side-Side (SSS) similarity criterion.
In addition, we can also use the Side-Angle-Side (SAS) similarity criterion. In this case, if two sides of one triangle are proportional to two sides of another triangle, and the included angle between these sides is congruent in both triangles, then the triangles are similar.
Ultimately, similarity between triangles is established when corresponding angles are congruent and/or corresponding sides are proportional.
In order to determine if abc is similar to xyz, we would need to compare the corresponding angles of both triangles. If all corresponding angles are congruent (the same), then the triangles are similar. This means that the corresponding sides are proportional, but not necessarily the same length.
If the angles in triangle abc and triangle xyz are all congruent to each other, then we can conclude that the two triangles are similar. However, if any of the corresponding angles are not congruent, then the triangles are not similar.
3 answers
put this into a 12 year olds words
In order to determine if abc is similar to xyz, we would need to compare the corresponding angles of both triangles. If all corresponding angles are congruent (the same), then the triangles are similar. This means that the corresponding sides are proportional, but not necessarily the same length.
If the angles in triangle abc and triangle xyz are all congruent to each other, then we can conclude that the two triangles are similar. However, if any of the corresponding angles are not congruent, then the triangles are not similar.
In order to determine if abc is similar to xyz, we would need to compare the corresponding angles of both triangles. If all corresponding angles are congruent (the same), then the triangles are similar. This means that the corresponding sides are proportional, but not necessarily the same length.
If the angles in triangle abc and triangle xyz are all congruent to each other, then we can conclude that the two triangles are similar. However, if any of the corresponding angles are not congruent, then the triangles are not similar.
To check if triangles abc and xyz are similar, we need to see if their angles match up. If all the angles in both triangles are the same, then they are similar. This means that the sides of the triangles are in proportion to each other, but might not be the same length. If even one angle is different in the two triangles, then we can say they are not similar.