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Math Help - Questions about triangles and lines

  1. #1
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    Questions about triangles and lines

    My first question, can a triangle have three angles, 0-180-0, and appear as a line segment with a point in the middle having no altitude?

    Also, can a single dot on a piece of paper represent an infinite straight line in aspect to the dot being 3-d, extending through the paper?
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  2. #2
    Senior Member bkarpuz's Avatar
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    Quote Originally Posted by kellyfromwadsworth View Post
    My first question, can a triangle have three angles, 0-180-0, and appear as a line segment with a point in the middle having no altitude?

    Also, can a single dot on a piece of paper represent an infinite straight line in aspect to the dot being 3-d, extending through the paper?
    up to me you are right in both
    but if the angles are allowed to be 0 in your triangle definition.
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  3. #3
    Member courteous's Avatar
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    Quote Originally Posted by kellyfromwadsworth View Post
    My first question, can a triangle have three angles, 0-180-0, and appear as a line segment with a point in the middle having no altitude?

    Also, can a single dot on a piece of paper represent an infinite straight line in aspect to the dot being 3-d, extending through the paper?
    Deriving from both, such dot can also be a triangle.
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  4. #4
    A riddle wrapped in an enigma
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    Quote Originally Posted by kellyfromwadsworth View Post
    My first question, can a triangle have three angles, 0-180-0, and appear as a line segment with a point in the middle having no altitude?

    Also, can a single dot on a piece of paper represent an infinite straight line in aspect to the dot being 3-d, extending through the paper?
    There are certain "undefined terms" in geometry. A point and a line are two of them. They can only be described. A point has no dimensions. It simply represents "location". A line has only length. Abstract, at best. That's why we call them undefined.

    A triangle is defined as 3 segments connecting 3 non-collinear points. So a straight line fails that definition.
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