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Q: The point at which the diagonal of a parallelogram intersect is equidistant from the four vertices?
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The point at which the diagonals of a parallelogram intersect is equidistant from the four vertices?

sometimes


Do the point at which the diagonals of a parallelogram intersect is always equidistant from the four vertices?

No because the diagonals of a parallelogram are of different lengths


The point at which the diagonals of a parallelogram intersect is. equdistant from the four vertices?

The statement is no true.


Diagonal of a parallelogram?

Is the straight line joining one of the vertices to the vertex opposite.


What is the locus of points that are equidistant from the vertices of two opposite angles of the square?

The locus of the points equidistant from any two points is a straight line. In a square when the points are two opposite vertices this line will pass trough the other two vertices - extending the diagonal between those other two vertices outside the square.


Which point in a triangle is equidistant from the vertices's of the triangle?

Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).


Is the centroid equidistant from the vertices's of a triangle?

No. and it is not vertices's! vertices will do.


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.


Is the circumvention is equidistant from the vertices's of a triangle?

Circumvention means to surround or to go around or bypass. It is not a geometric term and has nothing whatsoever to do with a triangle. The circumcentre is equidistant from the vertices (not vertices's!).


What is a line drawn between 2 vertices which are not next to each other called?

One AnswerFor quadrilaterals (parallelogram, rectangle, rhombus, trapezoid) its called a diagonal Another:For any polygon or polyhedron, it is a diagonal.


What is a diagonal of a polyhedron?

A diagonal of a polyhedron is a line between any two vertices except outer vertices.


What is the Circumcenter Conjecture?

The circumcenter of a triangle is equidistant from the vertices.