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how many triangles are formed when any parallelogram and it diagonals are drawn

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Q: How many triangles are formed when any parallelogram and its diagonals are drawn?
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If all of the diagonals are drawn from a vertex of an n-gon how many triangles are formed?

If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed


Prove that if the diagonal of a parallelogram does not bisect the angles through the vertices to which the diagonal is drawn the parallelogram is not a rhombus?

Suppose that the parallelogram is a rhombus (a parallelogram with equal sides). If we draw the diagonals, isosceles triangles are formed (where the median is also an angle bisector and perpendicular to the base). Since the diagonals of a parallelogram bisect each other, and the diagonals don't bisect the vertex angles where they are drawn, then the parallelogram is not a rhombus.


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If a diagonal is drawn in a parallelogram then two congruent triangles are formed?

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If all of the diagonals are drawn from a vertex of a hexagon how many triangles are formed?

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