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Earn +20 ptsQ: Are all similar triangles also congruent?
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If all corresponding sides and angles of two triangles are congruent those triangles are?
The triangles are also congruent.
Are all similar triangles congruent triangles?
No. For example the triangles with sides {3, 4, 5} and {6, 8, 10} are similar but not congruent.
Are all congruent polygons similar?
No. You can have two triangles that are congruent to one another, and two quadrilaterals that are congruent to one another. But the triangle cannot be similar to the quadrilateral!
Are two scalene triangles with congruent angles similar?
When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)
What are the two properties of congruent triangles?
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
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