Q: Can any quadrilateral be cut into two triangles?

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Two triangles

A pair of triangles can form a 4 sided quadrilateral

You cannot make four triangles our of a quadrilateral by ONE line through it. One line can give you at most two triangles. Two lines, each running from one vertex of the quadrilateral to the opposite vertex, will give 4 triangles.

Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.

They will form a 4 sided quadrilateral if the triangles are the same sizes.

Related questions

Infinitely many. Any triangle inside a quadrilateral can be divided into two without affecting the quadrilateral but increasing the number of triangles by 1. And then one of those triangles could be spilt into two and so on - without end.

If you cut any quadrilateral along one of its diagonals, the figures formed are two triangles. Since the sum of the angles of a triangle is 180 degrees, then the sum of the angles of two triangles is 2(180) = 360 degrees. For this reason, the sum of the angles of a quadrilateral is 360 degrees.

You can divide a quadrilateral up into as many triangles as you want, but at least two.

Two triangles

A pair of triangles can form a 4 sided quadrilateral

Two triangles

You cannot make four triangles our of a quadrilateral by ONE line through it. One line can give you at most two triangles. Two lines, each running from one vertex of the quadrilateral to the opposite vertex, will give 4 triangles.

Any. All triangles have 180 degrees, so two will have 360.

All of them.

rhombus

Yes, it can always be divided in 2 triangles. This is because every quadrilateral has 2 diagonals. It is these diagonals that divide the quadrilateral into 2 triangles.

Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.Take any two points on its perimeter. Join them together and, if required, cut along that line. You now have non-regular quadrilateral that is divided.