Geometry is the branch of mathematics that deals with points, lines, shapes, and their relationships. In this section, we will explore some fundamental concepts in geometry.
Basic Definitions
- Point: A location in space that has no size or shape.
- Line: A straight path that extends infinitely in both directions.
- Plane: A flat surface that extends infinitely in all directions.
Types of Lines
- Parallel Lines: Lines that never intersect, even if extended indefinitely.
- Perpendicular Lines: Lines that intersect at a 90-degree angle.
- Intersecting Lines: Lines that intersect at a single point.
Shapes
- Circle: A set of points in a plane that are equidistant from a given point called the center.
- Triangle: A polygon with three sides and three angles.
- Rectangle: A quadrilateral with four right angles.
- Square: A rectangle with all sides of equal length.
Theorems
- Pythagorean Theorem: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
- Pythagorean Theorem for Non-Right Triangles: In any triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
For more information on geometry, you can visit our Geometry Tutorial.
Circle
Triangle
Rectangle