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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.
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.
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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.
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
the logical structure of the formulation of the CAP is on the form "p implies q", or "If p, then q". In symbols: p => q with p being the statement "l and l' are lines cut by a transversal t in such a way that two corresponding angles are congruent" and q the statement "l is parallel to l'" It's corollarys are also on this form, obviously with other p and q. Not sure if this is what you were looking for.
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The corresponding verb to statement is to state.