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

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.