Show 2 triangles intersecting at n points, n = 1, 2, 3,...

[cwp]

I need to show how two triangles can intersect at 1 point, 2, 3, 4, 5, 6 and an infinite number of points

 

[Deleted member 4993]

Re: Geometry triangles

I need to show how two triangles can intersect at 1 point, 2, 3, 4, 5, 6 and an infinite number of points

Hints:

Two (non-congruent non-parallel and in same plane) straight lines intersect at one point.

One straightline intersects two straight lines at two points.

etc.

Now show your efforts and tell us where you are stuck,,,,

 

[soroban]

Re: Geometry triangles

Hello, cwp!

Did you make any sketches? . . . I didn't think so!

I need to show how two triangles can intersect at 1 point, 2, 3, 4, 5, 6
and an infinite number of points.

          *
         * *     *
[1]     *   *   * *
       *     * *   *
      * * * * o * * *


      *
      *  *
      *     *                 *
      *        *           *  *
      *           *     *     *
      *              o        *
      *           *     *     *
[2]   *        *           *  *
      *           *     *     *
      *              o        *
      *           *     *     *
      *        *           *  *
      *     *                 *
      *  *
      *

Get the idea?

 

[cwp]

I did make sketches and I was able to figure it out.
I really appreciate your help. Thanks & have a great school year.