pecide whether enough information is given to prove that the triangles are aruent in each case below. If there is enough information, state the aruence postulate or theorem you would use. 7.) a) SAS b) SSS c) ASA d) AAS e) HL f) Not Congruent
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To determine if there is enough information to prove that the triangles are congruent in each case, you need to analyze the given conditions. For instance, if you know two sides and the angle between them—a classic case of SAS (Side-Angle-Side)—you can confidently say the triangles are congruent! Similarly, if you have three sides of one triangle matching three sides of another, you can invoke SSS (Side-Side-Side). When checking for congruence, common mistakes include confusing the conditions or assuming that the triangles are congruent without sufficient evidence. Remember, angle criteria alone like ASA (Angle-Side-Angle) and AAS (Angle-Angle-Side) can also establish congruence but require specific arrangements of angles and sides! Be sure to systematically analyze each scenario and apply the correct criteria for triangle congruence!