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Drawing 2 - D Shapes Using Geoboard (Dot Grid)

What is the n...

Question

What is the number of lines that can be drawn using 5 distinct points, where no 3 points are collinear?

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Solution

Let's take 5 distinct points - A, B, C, D, and E, such that no 3 points are collinear.

The lines that can be drawn using these 5 points are AB, BC, CD, DE, AE, AC, AD, AE, BD, BE, and CE, as shown below.

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Similar questions

Given four points such that no three of them are collinear, then the number of lines that can be drawn through them are:

Q. S is a set of points in the plane. How many distinct triangles can be drawn that have three of the points in S as vertices?
(1) The number of distinct points in S is 5.
(2) No three of the points in S are collinear.

Q. The number of different straight lines that can be formed by joining n points in a plane where no three points are collinear is____

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points in a plane of which no three are collinear and some four points are concylic . The maximum number of circles that can be drawn using these is:

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(A_{1}, A_{2}, . . ., A_{12})

in a plane, where

(A_{1}, A_{2}, A_{3}, A_{4})

are collinear to each other and

(A_{5}, A_{6}, A_{7}, A_{8})

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12

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