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Q: Are corresponding angles of similar triangles congruent?

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No. Angles are not congruent. (Triangles may be congruent.)

For segments or angles, "congruent" means that they have the same measure.For more complicated figures, such as triangles, "congruent" means that all corresponding sides and angles are congruent. "Corresponding" means that you make an assignment, from angles and sides of one triangle, to angles and sides of the other triangle. For example, you might label the sides of one triangle a1, b1, c1, and the sides of other triangle a2, b2, c2 - and you consider the "a" sides to be "corresponding".

True. With similar triangles the corresponding angles are equal.

None! If the angles are not congruent then the shapes are not similar of congruent. But that is not a problem. The angles of an equilateral triangle are not congruent to the angles of a square but that does not mean that you cannot work with equilateral triangles or squares!

In geometry two figures are congruent if they have the same shape and size if they are non congruent they do not have the same shape and size two triangles are congruent if their corresponding sides are all equal in lengh and their corresponding angles are equal in size

Related questions

Yes. Similar triangles have equal corresponding angles, and so do congruent triangles.

No, they are similar. They may be congruent, but they need not be.

you can assume that the angles are congruent, but not the sides.

proportional

angles

Proportional.

They are congruent triangles.

Triangles are congruent if they have the same angles and same lengths.

angles are congruent. That is sufficient to force the corresponding sides to be proportional - which is the other definition of similarity.

All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal

When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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