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Are two triangles with corresponding congruent angles congruent?
No, they are similar. They may be congruent, but they need not be.
Similar triangles are triangles whose corresponding are congruent and whose corresponding sides are proportional in length?
angles
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.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
Two triangles that have the same angles?
The triangles are similar, but not necessarily congruent.
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Are corresponding angles of similar triangles congruent?
Yes.
Are two triangles with corresponding congruent angles congruent?
No, they are similar. They may be congruent, but they need not be.
Similar triangles are triangles whose corresponding are congruent and whose corresponding sides are proportional in length?
angles
Similar triangles are triangles whose corresponding angles are congruent and whose corresponding sides are in length?
proportional
What are the corresponding sides called in similar triangles whose corresponding angles are congruent?
Proportional.
What is two triangles with corresponding angles and corresponding sides congruent called?
They are congruent triangles.
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)
Similar triangles are triangles whose corresponding?
angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.
Triangles are congruent if they have the same what?
Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.
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
What are congruent triangle?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
