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Q: If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles what can we say about the triangles?
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What is two triangles with corresponding angles and corresponding sides congruent called?

They are congruent triangles.


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.


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 three ways that you can prove that triangles are congruent?

If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.


If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another then the triangles are congruent?

Yes, they are.


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.


If two angles and a non included side of one triangle are congruent to be corresponding two angles and side of another then triangles are congruent?

Yes, they are.


Are two triangles are congruent if they have the same base?

No. All corresponding sides and angles have to be congruent for the triangles to be congruent.


If all corresponding sides and angles of two triangles are congruent those triangles are?

The triangles are also congruent.


If two lines are cut by a transversal are the corresponding angles congruent?

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


Can you assume that corresponding sides and corresponding angles of any two similar triangles are congruent and why?

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