sometimes
A 45 degree angle offset from either 0 degrees or 90 degrees In a polygon, a diagonal is a line segment connecting two nonadjacent vertices. A diagonal is also a horseback riding term used in posting. Your diagonal is when you rise and fall while posting on either the outside or inside leg of the horse. For example, this forward slash / is a diagonal line. While this lower-case letter l is a straight line.
A rhombus, trapezoid or parallelogram could all contain a 45 degree vertex. Squares and rectangles only have 90 degree vertices.
It identifies the point which is equidistant from the three vertices of the triangle. If, for example, you wanted to locate a phone mast to supply three remote locations, a good starting point would be to find somewhere which is at or very close to the circumcentre. Of course, local geography (hills, for example) would have to be taken into account.
22 vertices
3 vertices
sometimes
No because the diagonals of a parallelogram are of different lengths
The statement is no true.
Is the straight line joining one of the vertices to the vertex opposite.
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.
Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).
No. and it is not vertices's! vertices will do.
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.
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!).
One AnswerFor quadrilaterals (parallelogram, rectangle, rhombus, trapezoid) its called a diagonal Another:For any polygon or polyhedron, it is a diagonal.
A diagonal of a polyhedron is a line between any two vertices except outer vertices.
The circumcenter of a triangle is equidistant from the vertices.