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Earn +20 ptsQ: If two triangles are congruent are they similar?
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Continue Learning about Geometry
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.
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
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