Question

Please help with this Mini quiz on Proving triangles congruent ?



Given three side lengths, how many triangles can be formed?

1
2
3
infinitely many

Answer 1

Which congruence theorem would complete the proof shown?

SSS
SAS
ASA

Answer 2

Given:
AC = BC
∠3 = ∠4

Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
ASA
not possible

Answer 3

Given:
∠TRS = ∠URS
∠TSR = ∠USR

Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
ASA
not possible

Answer 4

Given:
MC bisects both ∠ACB and side AB.

Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
ASA
not possible

Answer 5

Given:
CM bisects AB
AC = BC

Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
ASA
not possible

Answer 6

Given:
DC||AB
DC = AB

Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
ASA
not possible

Answer 7

Given:
∠T = ∠U
∠TRS = ∠URS

Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".

SSS
SAS
AAS
not possible