Choose the one alternative that best completes the statement or answers the question.
-Under which of the following conditions do we know that two triangles are congruent? (More than one may app
(i) Three sides of one triangle are equal to the corresponding sides of the second triangle.
(ii) Three angles of one triangle are equal to the corresponding angles of the second triangle.
(iii) Two angles and the included side of one triangle are equal to the corresponding parts of the second triangle.
A) (iii) only
B) (i), (ii), (iii)
C) (i) only
D) (i), (iii)

Question

Quizplus · Accepted Answer

(i) corresponds to the Side-Side-Side (SSS) congruence postulate, and (iii) corresponds to the Angle-Side-Angle (ASA) congruence theorem. Both are valid criteria for triangle congruence. (ii) is not sufficient for congruence as it can result in similar but not necessarily congruent triangles.

Choose the One Alternative That Best Completes the Statement or Answers