There are an infinite number of correct answers, because the square could be
located anywhere in the coordinate plane. Why, the thing could even be tilted;
its sides don't necessarily have to be parallel to the coordinate axes.
The simplest answer corresponds to a square in the First Quadrant with a corner
at the origin. Its vertices are located at:
(0, 0)
(0, 5)
(5, 5)
(5, 0)
A square has 5 vertices * * * * * A square has 4 vertices!
You can use the Pythagorean Theorem for this one. In other words, calculate square root of (difference-of-x-coordinates squared + difference-of-y-coordinates squared).
The answer depends on the shape of the quadrilateral and the form in which that information is given: for example, lengths of sides and angles, coordinates of vertices.
All rectangles are "squared" in that they have 4 corners (vertices) that are 90-degree angles. But a rectangle is only "a square" if all four sides are equal in length.
If the square has been plotted in a graph, you can go about finding the diagonal of it by measuring the midpoint. (1) Find the coordinates of the vertices of the square (2) Use the coordinates of two vertices that are across from each other. Plug them into the midpoint equation: (X1 + X2)/2 , (Y1 + Y2)/2, and use your answers as the coordinates of the midpoint (x,y) (3) Draw a straight line crossing through the midpoint from one opposite vertex to another. That is your diagonal.
square root(x2-x1)squared+(y2-y1)squared
Assuming that these are coordinates of the vertices, the area is 6 square units.
A square has 5 vertices * * * * * A square has 4 vertices!
You can use the Pythagorean Theorem for this one. In other words, calculate square root of (difference-of-x-coordinates squared + difference-of-y-coordinates squared).
The answer depends on the shape of the quadrilateral and the form in which that information is given: for example, lengths of sides and angles, coordinates of vertices.
Clockwise from top right: (4,4); (4,-4); (-4,-4); (-4,4)
All rectangles are "squared" in that they have 4 corners (vertices) that are 90-degree angles. But a rectangle is only "a square" if all four sides are equal in length.
A square has 4 vertices
If the square has been plotted in a graph, you can go about finding the diagonal of it by measuring the midpoint. (1) Find the coordinates of the vertices of the square (2) Use the coordinates of two vertices that are across from each other. Plug them into the midpoint equation: (X1 + X2)/2 , (Y1 + Y2)/2, and use your answers as the coordinates of the midpoint (x,y) (3) Draw a straight line crossing through the midpoint from one opposite vertex to another. That is your diagonal.
A square prism has 8 vertices.
A square pyramid has 5 vertices.
A square pyramid has 5 vertices.