Question

look at the diagram and evaluate. which of the statements below is false?
answer
pq > op
np < oq
op = pq
nq > oq

Explanation:

Step1: Calculate the length of each segment

• \(OP = 9 - 6=3\)
• \(PQ=18 - 9 = 9\)
• \(NP=9 - 3=6\)
• \(OQ=18 - 6 = 12\)
• \(NQ=18 - 3=15\)

Step2: Check each option

• For \(PQ>OP\): Since \(PQ = 9\) and \(OP = 3\), \(9>3\), so \(PQ>OP\) is True.
• For \(NP
• For \(OP = PQ\): Since \(OP = 3\) and \(PQ = 9\), \(3

eq9\), so \(OP = PQ\) is False.

• For \(NQ>OQ\): Since \(NQ = 15\) and \(OQ = 12\), \(15>12\), so \(NQ>OQ\) is True.

Answer:

\(OP = PQ\)