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 OP

The coordinate of O is 6 and the coordinate of P is 9. So, $OP=9 - 6=3$.

Step2: Calculate the length of PQ

The coordinate of P is 9 and the coordinate of Q is 18. So, $PQ=18 - 9 = 9$.

Step3: Analyze option 1

Since $PQ = 9$ and $OP=3$, $PQ>OP$ is True.

Step4: Calculate the length of NP

The coordinate of N is 3 and the coordinate of P is 9. So, $NP=9 - 3=6$.

Step5: Calculate the length of OQ

The coordinate of O is 6 and the coordinate of Q is 18. So, $OQ=18 - 6 = 12$. Since $NP = 6$ and $OQ = 12$, $NP

Step6: Analyze option 3

We found $OP = 3$ and $PQ=9$, so $OP = PQ$ is False.

Step7: Calculate the length of NQ

The coordinate of N is 3 and the coordinate of Q is 18. So, $NQ=18 - 3=15$. Since $NQ = 15$ and $OQ = 12$, $NQ>OQ$ is True.

Answer:

OP = PQ