Question

For triangles, which implication establishes transitivity of the congruence relation?

विकल्प

• If \(T_1\) is congruent to \(T_2\), then \(T_2\) is not congruent to \(T_3\)

• If \(T_1\) is not congruent to \(T_2\), then \(T_1\) is congruent to \(T_3\)

• If \(T_1\) is congruent to \(T_2\) and \(T_2\) is congruent to \(T_3\), then \(T_1\) is congruent to \(T_3\)

• If \(T_1\) is congruent to itself, then \(T_2\) is greater than \(T_3\)

Answer 1

Transitivity of congruence states that two consecutive congruences can be combined. Thus, \(T_1\cong T_2\) and \(T_2\cong T_3\) imply \(T_1\cong T_3\).