Figure 1 and Figure 2 must have corresponding angles that are equal and corresponding sides that are proportional to be considered similar.
If Figure 1 is similar to Figure 2, then certain conditions must be met for us to say that the two figures are indeed similar.
In geometry, similarity means that the figures have the same shape but may differ in size.
Two figures are similar if all of the following conditions are satisfied:
The corresponding angles in the figures are equal.The corresponding sides are proportional.
For example, if Figure 1 is a triangle with angles of 30°, 60°, and 90°, and Figure 2 is also a triangle, to be similar to Figure 1 it must also have angles of 30°, 60°, and 90°, regardless of the size of its sides.
If the sides of Figure 1 are in the ratio of 3:4:5, then the sides of Figure 2 must also be in the same ratio, which could be 6:8:10, or any other set of numbers that maintains this proportion.