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How many lines can pass through two given points?
Just one.
How many lines can be drawn through 2 points?
1 straight line. An infinite number of curved lines.
How many lines of symmetry does a regular octagon have?
It has 8. Each passes through the centre. Four pass through vertices, four pass through the mid-points of opposite sides. 4
How many lines of symmetry does the regular octagon have?
It has 8. Each passes through the centre. Four pass through vertices, four pass through the mid-points of opposite sides
How many different lines are determined by two points?
In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!
