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Yes. The triangles have the same angle measures but different, similar side lengths.
Think of two different sized equilateral triangles. One can have side lengths of 6 inches while the other has side lengths of 20 inches, but they still have congruent angles of 60 degrees. Each ratio of side lengths is equal [6/20=6/20=6/20].
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In two triangles have a congruent angle and two congruent angle and two congruent sides then the triangles are guaranteed to be congruent?
Yes, if two triangles have two congruent angles and two congruent sides then the triangles are guaranteed to be congruent. They only need two angles and one side congruent or two sides and one angle in order to be congruent.
Are corresponding angles of similar triangles congruent?
Yes.
Is angle angle angle a way to show that triangles are similar?
Yes, AAA is a way to show that triangles are similar. Note, however, that AAA is not a way to show that triangles are congruent.
If two lines are cut by a transversal are the corresponding angles congruent?
No. Angles are not congruent. (Triangles may be congruent.)
In a parallelogram a diagonal separates the parallelogram into?
two congruent triangles
