A triangle with vertices X, Y, and Z overlap a circle. Vertex X is at the center of the circle. XY is 6 units long and is equal to the radius of the circle, YZ is 8 units long, and XZ is 11 units long. Determine if YZ is tangent to the circle, and justify your answer. Yes, because YZ is the second largest side of the triangle. No, because YZ does not touch the circle at all. Yes, because the angle ZY is a right angle. No, because substituting the values into the Pythagorean theorem results in a false statement.

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