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If two triangles have the same shape but one is an enlargement of the other they are said to be similar. The two triangles must be equi-angular.
To prove that ∆ABC is similar to ∆XYZ it is necessary to prove one of the following :-
1) Two angles in ∆ABC are equal to two angles in ∆XYZ, since it follows that the third angles will also be equal.
2) The three sides of ∆ABC are proportional to the corresponding sides of ∆XYZ
AB/XY = AC/XZ = BC/YZ
3) Two sides in ∆ABC are proportional to two sides in ∆XYZ and the angles included between these sides in each triangle are equal.
AB/XY = AC/XZ and angle A = angle X.
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Two equilateral triangles are sometimes similar?
Two equilateral triangles are always similar!
What do you call two triangles with proportional sides?
They are said to be similar but not congruent triangles.
Are the angle measures of similar triangles different?
for two similar triangles , their corresponding angles are equal.
Are two triangles always the similar?
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.
What is the term for two triangles whoSe angles are congruent and sides are proportional?
Such triangles are similar.
