triangleBRM congruent to triangleKYZ. How can you justify that modifying above upper Y upper Z with barcongruent to modifying above R M with bar ?
(1 point)
Responses
CPCTC
CPCTC
SAS
SAS
ASA
ASA
SSS
SSS
The correct justification in this case is CPCTC (Corresponding Parts of Congruent Triangles are Congruent).
CPCTC states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.
Here, the given information states that triangle BRM is congruent to triangle KYZ.
When we modify point Y and Z with a bar, it means that we are modifying the corresponding points in triangle KYZ, which are K and Z.
Therefore, by using CPCTC, we can justify that modifying point Y and Z with a bar is congruent to modifying point R and M with a bar.
To justify that modifying above YZ with a bar (YZ̅) is congruent to modifying above RM with a bar (RM̅), we can use the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem.
CPCTC states that if two triangles are congruent, then their corresponding parts are also congruent.
In this case, since triangle BRM is congruent to triangle KYZ, we can conclude that their corresponding sides are congruent. Therefore, YZ̅ is congruent to RM̅.