Question

Determine whether the stated conclusion is valid based on the given information. If not, write invalid. In either case, explain your reasoning.A. Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS.Conclusion: QR = (is congruent to) RS

Answer 1

The conclusion is:

$QR\cong RS$

Given:

a is the midpoint of a segment.

So it divides the segment in two congruent segments.

R is the midpoint of QS, then QR and RS are congruent segments (half of QS).

The conclusion is valid.