Table of Contents
What is Diagonal?
A diagonal is a line segment that connects two vertices of a polygon that are not adjacent to each other.
Polygon:
- A polygon is a closed figure with straight sides. A polygon has at least three sides. A polygon is also called a plane figure.
- polygon has at least three sides. A polygon is also called a plane figure. A polygon is a closed figure with straight sides.
- A polygon is a closed figure because it has a point at each end of every side.
- polygon has straight sides because all of its sides are straight.
Vertex:
The vertex is the point at which two or more lines meet. A vertex also the point around which a polygon drawn.
- Edge: An edge is the line that connects two vertices.
- Face: A face is the flat surface that created when two or more edges meet.
Why Do We Need Diagonals?
Diagonals are used to create shapes and patterns in art. They can also used to create optical illusions.
Diagonal of Square:
The diagonal of a square is the length of the hypotenuse of a right triangle whose other two sides are the length of the square’s sides.
Properties of Square Diagonals:
A square diagonal is a line segment that connects two opposite corners of a square. Therefore the length of a square diagonal is equal to the length of the side of the square.
Diagonal of Rectangle:
The diagonal of a rectangle is the length of the hypotenuse of a right triangle whose other two sides are the length and width of the rectangle.
Diagonal of Rhombus:
The diagonal of a rhombus is the length of the line segment connecting the opposite vertices.
Diagonal of Parallelogram:
The diagonal of a parallelogram is a line segment that connects two opposite vertices and is perpendicular to the parallelogram’s sides.
1. Find the Length of a Square Diagonal if One of its Sides is 8 cm.
The length of the diagonal is 8.8 cm.
2. Given that Dimensions of a Rectangle are 3cm x 4cm, Find Length of its Diagonals.
The length of the diagonal is 5 cm.
