Question

Can two opposite vertices of a square have same y coordinate

Answer 1

Answer:

A square has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the square. The diagonals have the following properties:

The two diagonals are congruent (same length). In the figure above, click 'show both diagonals', then drag the orange dot at any vertex of the square and convince yourself this is so.

Each diagonal bisects the other. In other words, the point where the diagonals intersect (cross), divides each diagonal into two equal parts

Each diagonal divides the square into two congruent isosceles right triangles. Because the triangles are congruent, they have the same area, and each triangle has half the area of the square.

Step-by-step explanation:

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