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No. That's why they are called "similar" and not "congruent".
Here's a list of 12 different triangles. Every one of them is similar
to all the other 11, but no two of them are congruent:
Lengths of sides:
=> 1, 1.5, 2
=> 2, 3, 4
=> 3, 4.5, 6
=> 4, 6, 8
=> 5, 7.5, 10
=> 6, 9, 12
=> 7, 10.5, 14
=> 8, 12, 16
=> 9, 13.5, 18
=> 10, 15, 20
=> 11, 16.5, 22
=> 12, 18, 24
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If two triangles are congruent are they similar?
yes
Two triangles that have the same angles?
The triangles are similar, but not necessarily congruent.
Are two triangles with corresponding congruent angles congruent?
No, they are similar. They may be congruent, but they need not be.
Are similar triangles always congruent?
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
If the vertex angles of two isosceles triangles are congruent are the triangles always similar?
Yes, they are.
