The given statements tells us two things. First, that SR and CB are congruent. Second, that AC and QR are congruent. Let's illustrate this in our figure.
The Transitive Property of Segment Congruence says that if two segments, AB and EF, are both congruent with a third segment, CD, then we can equate these segments.
AB=CD and CD= EF then AB= EF
However, the statements we have been given only tell us that SR and CB are congruent and that AC and QR are congruent. If by the Transitive Property of Segment Congruence we are going to claim that CB≅ AC, we would have to know the following as well.
SR≅ AC or that QR≅ CB
This means our friend is incorrect.
