Question

1. true or false: lm is tangent to circle n. true false

Explanation:

Step1: Recall tangent property

A tangent to a circle is perpendicular to the radius at the point of contact. So, if LM is tangent to circle N at M, then $\angle LMN = 90^\circ$, making $\triangle LMN$ a right triangle.

Step2: Check Pythagorean theorem

Calculate the squares of the sides:
$LM^2 = 24^2 = 576$
$MN^2 = 7^2 = 49$
$LN^2 = 25^2 = 625$

Sum of squares of legs: $576 + 49 = 625$, which equals $LN^2$.

Answer:

True