Coordinate Geometry: Section and Distance Formulas Basic Coordinate geometry involves representing shapes and geometric figures using a coordinate system. We...
Coordinate geometry involves representing shapes and geometric figures using a coordinate system. We use coordinates, which are pairs of numbers, to specify the location of points in a two-dimensional or three-dimensional space.
Section
The section of a shape is a portion of the shape that is bounded by two lines. We can find the area of a shape by calculating the product of its base and height.
Distance
The distance between two points is the amount of straight line distance between them. It is a measure of the "closeness" between two points. The distance between points A and B is equal to the distance between points B and C, as long as points A, B, and C are on the same line.
Basic Formulas
Area of a shape: Area = Base × Height
Distance between points A and B: d = |x₂ - x₁| + |y₂ - y₁|
Midpoint formula: (x, y) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Examples
Find the area of a triangle with a base of 5 cm and a height of 3 cm.
Find the distance between points A(2, 4) and B(8, 10).
Find the midpoint of points A(3, 7) and B(10, 12)