Questions: Andre used a compass to make a circle with radius the same length as segment JK. He labeled the center P. Which segment is longer than JK?
A. segment LM
B. segment MP
C. segment PN
D. segment PL
Transcript text: Andre used a compass to make a circle with radius the same length as segment JK. He labeled the center $P$. Which segment is longer than $J K$ ?
A. segment $L M$
B. segment $M P$
C. segment $P N$
D. segment $P L$
Solution
Solution Steps
Step 1: Understand the Problem
Andre used a compass to make a circle with a radius equal to the length of segment JK. The center of the circle is labeled P. We need to determine which segment is longer than JK.
Step 2: Identify the Segments
The segments given are:
LM
MP
PN
PL
Step 3: Analyze the Segments
MP is the radius of the circle, which is equal to JK.
PN is another radius of the circle, which is also equal to JK.
PL is a segment from the center P to a point on the circumference, which is equal to the radius JK.
LM is a chord of the circle, and it is not necessarily equal to the radius.
Final Answer
None of the segments LM, MP, PN, or PL are longer than JK. Therefore, the correct answer is: