Question

question 8 of 10
if any two sides and any angle are congruent in two triangles,
then the triangles must be congruent.

a. true

b. false

Explanation:

To determine if the statement is true or false, we recall the triangle congruence criteria (e.g., SAS, ASA, SSS, AAS). The SAS (Side - Angle - Side) criterion requires the angle to be the included angle between the two sides. If we have two sides and a non - included angle (SSA), this does not guarantee triangle congruence (it can lead to the ambiguous case in triangles, where two different triangles can be formed). So the statement "If any two sides and any angle are congruent in two triangles, then the triangles must be congruent" is false because the angle may not be the included angle, and SSA does not ensure congruence.

Answer:

B. False