Question
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
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
Ask by Floyd Summers. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
For each case:
a) Use SAS postulate.
b) Use SSS postulate.
c) Use ASA postulate.
d) Use AAS postulate.
e) Use HL theorem.
f) Not congruent.
b) Use SSS postulate.
c) Use ASA postulate.
d) Use AAS postulate.
e) Use HL theorem.
f) Not congruent.
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
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!
