Is it true that all isosceles triangles that are 40 degree vertex angle are similar?
Yes. If both triangles have two angles of 40 degrees, they are similar triangles by definition. Any more geometry questions?
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About Definition
A definition is a phrase that explains the meaning of a word. Some definitions are simple and just describe the current, most common usage of a word. Others provide the origin of a word and its subsequent meanings throughout history, such as the Oxford English Dectionary (OED).
About Geometry
Geometry is the branch of mathematical science that studies the properties of space. Euclidean Geometry is named after Euclid, who systematized Geometry in the 3rd century BCE.
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