A common and easy geometry problem is to find the side of a square from its diagonal. In another problem, we did the opposite - we found the length of the diagonal of a square from its side. We saw … [Read more...] about How to Find the Side of a Square From Its Diagonal
Squares
A rectangle in which all the sides are equal, or a rhombus in which the angles are right angles, is called a square.
A square combines the properties of rectangles and diamonds.
So in a square, the diagonals are of equal length, they bisect each other, they bisect the angles, and they are perpendicular to each other
We will show these properties using triangle congruence.
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Now that we've explained the basic concept of squares in geometry, let's scroll down to work on specific geometry problems relating to this topic.
Radius of a Regular Polygon
What is the radius of a regular polygon? We are used to seeing the term 'radius' in the context of circles - the radius of the circle is the distance from its center to any point on its circumference. … [Read more...] about Radius of a Regular Polygon
The Diagonals of a Square Bisect Each Other
In a square, the diagonals bisect each other. This is a general property of any parallelogram. And as a square is a special parallelogram, which has all the parallelogram's basic properties, this is … [Read more...] about The Diagonals of a Square Bisect Each Other
How to Find the Diagonal of a Square
A square is a geometric shape which is fully determined by the lengths of its side, a. If we know the length of the side of a square, we know its perimeter, its area, the length of its diagonals, … [Read more...] about How to Find the Diagonal of a Square
The Diagonals of Squares are Perpendicular to Each Other
The diagonals of squares are equal to each other, they bisect each other, and they are perpendicular to each other. Here, we'll show this last property. Just like rectangles are a special type of … [Read more...] about The Diagonals of Squares are Perpendicular to Each Other