Question

1. 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

Explanation:

Step1: Recall circle - radius property

The radius of the circle is equal to the length of segment $JK$ since the circle is made with radius the same length as $JK$. Radius is the distance from the center of the circle to a point on the circle. So, $MP = PN=JK$ (radius of the circle).

Step2: Analyze segment $PL$

Segment $PL$ is the sum of the radius $MP$ and the length $LM$. So, $PL=MP + LM$. Since $MP = JK$ and $LM>0$, then $PL>JK$.

Step3: Analyze segment $LM$

We have no information indicating that $LM>JK$. It could be shorter or equal in some non - specified cases.

Step4: Analyze segments $MP$ and $PN$

$MP$ and $PN$ are radii of the circle, so $MP = PN=JK$.

Answer:

D. segment $PL$