Yes. Sometimes it's good to think outside of the square. Lines of latitude on the Earth's surface are curved lines. They meet at two vertices which we call the North Pole and the South Pole.
But even in Euclidean Geometry, the answer is yes. Consider a circle and a parabola. The point where they intersect is a vertex.
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The point where two lines form an angle is called the vertex.
a meeting point of two lines that form an angle; a corner.
They form a vertex because they are line segments. An angle is two rays with the same point
A vertex is when 2 edges meet and make a curved line.
vertex