Question

For the given true statements, what can you conclude? If points A, B, and C are collinear, and B is between A and C, then ​AB + BC = AC. Points Q, R, and S are collinear and R is between Q and S. 1 RS + QS = SR 2 QR + QS = RS 3 QR + RS = QS 4 SQ + RS = QR

Answer 1

From the given true statements, we can conclude:

1) RS + QS = SR (This statement is redundant and not meaningful, as addition is commutative)

2) QR + QS = RS (This statement is not true because in a valid equation with collinear points, the two segments being added should add up to the segment they are a part of)

3) QR + RS = QS (This statement is not true because in a valid equation with collinear points, the two segments being added should add up to the segment they are a part of)

4) SQ + RS = QR (This statement is true because in a valid equation with collinear points and segment addition, the two segments being added should add up to the segment they are a part of, which is consistent with the statement provided)