Question

In the diagram, MQ = QP = PO = ON.



If NP is greater than MP, which must be true?

Segment OP is longer than segment MQ.
Segment MN has the same length as segment MP.
The measure of angle Q equals the measure of angle O.
Angle O is larger than angle Q.

Answer 1

 MQ = QP = PO = ON

If NP is greater than MP

answer
Angle O is larger than angle Q.

Answer 2

Answer:The measurement of angle O is greater than angle Q is the correct statement.

Explanation: Since, According to the question,  MQ = QP = PO = ON and MP is greater than NP.

Then, In first option, segment OP is longer than segment MQ is false because OP=MQ.

In second option, MN=MP can not be possible because NP is greater than MP.

In third option, The measure of angle Q equals the measure of angle O also can not be possible because MN is not parallel to QO.

But, In fourth option, Since MP is greater than NP thus NO makes larger angle than MQ.

Thus, fourth option is correct.