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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


Diagonal of a parallelogram?

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


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

The statement is no true.


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 theorem explains why the circumcenter is equidistant from the vertices of a triangle?

The theorem that explains why the circumcenter is equidistant from the vertices of a triangle is the Circumcenter Theorem. This theorem states that the circumcenter, which is the point where the perpendicular bisectors of a triangle intersect, is equidistant from all three vertices of the triangle. This is because the perpendicular bisectors of the sides of a triangle are equidistant from the endpoints of those sides, thus ensuring that the circumcenter maintains equal distances to each vertex.


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.


Which term describes the point where the perpendicular bisectors of the sides of a triangle intersect?

The point where the perpendicular bisectors of the sides of a triangle intersect is called the circumcenter. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.


Do the diagonals of a kite intersect at 90 degree angles?

Yes, the diagonals of a kite intersect at right angles (90 degrees). In a kite, one diagonal connects the vertices of the two pairs of equal-length sides, while the other diagonal connects the vertices of the unequal angles. This unique property of kites ensures that the diagonals are perpendicular to each other.


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.