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Question
two triangles have two pairs of corresponding congruent angles. which statement about the triangles is true?
the triangles must be similar.
the triangles must be congruent.
the triangles must be right triangles.
the triangles must be acute triangles.
According to the AA (Angle - Angle) similarity criterion in geometry, if two pairs of corresponding angles of two triangles are congruent, then the two triangles are similar. Congruent triangles require more than just angle congruence (side - angle - side etc.). Just having two pairs of congruent angles doesn't mean they are right triangles (unless the congruent angles are right angles, which isn't stated) or acute triangles (they could have an obtuse angle if the non - congruent angles are obtuse).
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The triangles must be similar.