Question

Which of these represents a finite number of points?

a.) all the points on the hypotenuse of a right triangle

b.) all the points of tangency of a circle

c.) all the vertices of a triangle

d.) all the radii of a circle

Answer 1

c)
The rest are either lines, which are composed of an infinity of points, or surfaces, which are composed of an infinity of lines, and therefore, an infinity of points.

You can't 'count' the other points or lines, you can only count AND stop with (c).