Question
If point P is the midpoint of segment LQ and if measure of segment LP = 2 1/7, then find the measure of segment PQ
Answers
GPT-4o mini
If point \( P \) is the midpoint of segment \( LQ \), then the lengths of segments \( LP \) and \( PQ \) are equal.
Given that the measure of segment \( LP \) is \( 2 \frac{1}{7} \), we can convert this mixed number to an improper fraction:
\[
2 \frac{1}{7} = \frac{2 \times 7 + 1}{7} = \frac{14 + 1}{7} = \frac{15}{7}
\]
Since \( P \) is the midpoint, we have:
\[
PQ = LP = \frac{15}{7}
\]
Thus, the measure of segment \( PQ \) is:
\[
\frac{15}{7} \text{ or } 2 \frac{1}{7}
\]
Therefore, the measure of segment \( PQ \) is \( 2 \frac{1}{7} \).
Given that the measure of segment \( LP \) is \( 2 \frac{1}{7} \), we can convert this mixed number to an improper fraction:
\[
2 \frac{1}{7} = \frac{2 \times 7 + 1}{7} = \frac{14 + 1}{7} = \frac{15}{7}
\]
Since \( P \) is the midpoint, we have:
\[
PQ = LP = \frac{15}{7}
\]
Thus, the measure of segment \( PQ \) is:
\[
\frac{15}{7} \text{ or } 2 \frac{1}{7}
\]
Therefore, the measure of segment \( PQ \) is \( 2 \frac{1}{7} \).