contestada

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 = RS

Respuesta :

xero099

Answer:

All given information leads to conclusion described on statement. ([tex]QR = RS[/tex])

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) [tex]R[/tex] is a point of segment [tex]QS[/tex] and ii) [tex]R[/tex] is the midpoint of [tex]QS[/tex]. We proceed to perform the demonstration:

1) [tex]R\in QS[/tex], [tex]R[/tex] is the midpoint of [tex]QS[/tex]. Given.

2) [tex]Q - R = R -S[/tex] Definition of midpoint.

3) [tex]QR = RS[/tex] Definition of segment/Result.

All given information leads to conclusion described on statement. ([tex]QR = RS[/tex])

Otras preguntas