Question

n 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

Angle O is larger than angle QI hope this helps! ^^

Answer 2

Answer:

Correct choice is D

Step-by-step explanation:

Consider attached diagram, where MQ = QP = PO = ON.

Option A is false, because segment OP is equal to segment MQ (given).

Option B is false, because segment MN has length that depends on the placement of points M and N (segment MN can be greater than segment MP, can be smaller than segment MP).

Option C is false, because if the measure of angle Q equals the measure of angle O, then by the cosine law, MP=NP but this statement is not true (given MP<NP).

Option D is true, because the side that is opposite to the greater angle is greater and you know that MN>NP, then the measure of angle O is larger than the measure of the angle Q.