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The diagonals of a square bisect each corner or vertex of the square.

Q: What is a diagonal vertex of a square?

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A diagonal in a shape is a straight line from one vertex to another vertex (corner).

it's just a vertex to a another vertex besides the sides itself

You don't. A rectangle doesn't have a hypoteneuse, only a right-angled triangle has a hypoteneuse. As for the diagonal of a rectangle, you can draw it from any vertex to the opposite vertex. It's length is the square root of the sum of the squares of the longer and the shorter side-lengths.

The radius of a square is the radius of the circumcircle, ie the distance from the centre of the square to any vertex, which is half the length of the diagonal of the square. Using Pythagoras: diagonal^2 = side^2 + side^2 → diagonal = √(2 x side^2) area = side^2 → diagonal = √(2 x area) radius = 1/2 x diagonal = 1/2 x √(2 x area) → radius = 1/2 x √(2 x 72 sq in) = 1/2 x √(144 sq in) = 1/2 x 12 in = 6 in.

13 The correct answer is 12. From any one vertex, you can draw a diagonal to all but 3 vertices: the vertex itself and the next vertex on either side of your vertex (these would be sides of your shape, not diagonals).

Related questions

Given three vertices, the two that are the furthest apart lie at the ends of a diagonal. Reflect the square in this diagonal. The third vertex will be where the missing vertex should be.

A diagonal in a shape is a straight line from one vertex to another vertex (corner).

None. By definition a diagonal goes from one vertex to another vertex and so each diagonal MUST have two vertices.

A line that joins any vertex of a polygon (or polyhedron) to any vertex other than itself or adjacent ones is a diagonal.

A straight line that joins one vertex to another vertex.

It is called a diagonal and goes from any vertex to the next-but-one vertex.

it's just a vertex to a another vertex besides the sides itself

A diagonal is any straight line from one vertex to a non-adjacent vertex.

There are 4

1

It is a side or a diagonal.

there are 4 vertices(singular vertex) of a square. the pointed edges are called vertex