Answer:
IL
Step-by-step explanation:
To solve this problem, we can use the property that tangents drawn to a circle from the same external point are congruent. This means that the lengths of the segments from a point outside the circle to the points of tangency with the circle are equal.
In the diagram, segment IK is a tangent from point I to point G at point K. To find a segment congruent to IK, we should look for another tangent to circle G that starts from the same external point, I.
We can see that line KL is tangent to circle G at point I, which means that the length of segment IL, from point I to point L, is congruent to the length of segment IK. This congruence is because both IK and IL are tangents to circle G from the same external point I.
Therefore, the segment that is congruent to IK is segment IL.
Hope this helps!
