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two right trangles are similar if an acute angle of one triangle, is congruent to an acute angle of the other triangle.
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false
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In similar triangles, corresponding angles are congruent. For right - angled triangles, if one acute angle of one right - angled triangle is congruent to one acute angle of another right - angled triangle, then the third angle (the right angle which is \(90^{\circ}\) for both) is also congruent. By the AA (Angle - Angle) similarity criterion, two triangles are similar if two pairs of corresponding angles are congruent.
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True