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!
Not always, sometimes two obtuse triangles are similar and sometimes they are not similar.
They are said to be similar but not congruent triangles.
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).
Two isosceles triangles can be similar if their angles are congruent. Since isosceles triangles have at least two equal sides, they also have two equal angles opposite those sides. If two isosceles triangles have the same angle measures, then they are similar regardless of the lengths of their sides. Therefore, it is incorrect to say that two isosceles triangles are never similar; they can be similar under certain conditions.
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.
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides.