You determine the similarity of two triangles through the equality of each two relevant lines and the equality of each relevant two interior angels.
The term for two triangles that are congruent after a dilation is similar.
They're similar triangles.
You would use the AA Similarity Postulate to prove that the following two triangles are similar. True or false?
Those would be SIMILAR triangles.
Yes.
Two equilateral triangles are always similar!
They are said to be similar but not congruent triangles.
Not always, sometimes two obtuse triangles are similar and sometimes they are not similar.
Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.
If the angles of two triangles are equal the triangles are similar. AAA If you have three angles on both triangles these must be equal for the triangles to be similar. SAS If you have an angle between two sides and the length of the sides and the angle are the same on both triangles, then the triangles are similar. And SSS If you know the three sides
The same three sides also determine the angles uniquely. However, the same three angles do not uniquely determine the sides: they only determine the ratio between the sides. So, two triangles with the same angles can be of different size (similar triangles).
for two similar triangles , their corresponding angles are equal.
The triangles are similar, but not necessarily congruent.
There is not enough information to determine whether or not the triangles are similar.
The term for two triangles that are congruent after a dilation is similar.
They're similar triangles.
Nope. You must know what it means to be similar. It means that ALL three angles are the same between two triangles. That been said, you can take any two random triangles, it's very likely that they are NOT similar.