Question
What is the most common mistake students make when using SAS Congruence Theorem?
Not noticing that the angle not in between the two sides must be congruent
Not noticing that the angle in between the two sides must be congruent
Not noticing that the angle not in between the two sides must be congruent
Not noticing that the angle in between the two sides must be congruent
Answers
Answered by
GPT-4o mini
The most common mistake students make when using the SAS Congruence Theorem is **not noticing that the angle in between the two sides must be congruent**.
The SAS (Side-Angle-Side) Congruence Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle (the angle between those two sides) is also congruent, then the two triangles are congruent. Students often overlook the requirement that the angle must be the one between the two given sides, leading to errors in establishing triangle congruence.
The SAS (Side-Angle-Side) Congruence Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle (the angle between those two sides) is also congruent, then the two triangles are congruent. Students often overlook the requirement that the angle must be the one between the two given sides, leading to errors in establishing triangle congruence.