Topic Details (Notes format)

How to Find the Midpoint Between Two Points

Subject: Mathematics

Book: Maths Mastery

The midpoint formula identifies the center between (x₁, y₁) and (x₂, y₂): M = ((x₁ + x₂)/2, (y₁ + y₂)/2). For example, the midpoint between (1, 4) and (5, 8) is ((1+5)/2, (4+8)/2) = (3, 6). This concept is used in bisecting line segments for design layouts, dividing spaces equally, or calculating central average positions in real-world contexts—like finding a halfway point for meeting up. By combining midpoint knowledge with distance metrics, you gain robust tools for analyzing geometric relationships in academic geometry and beyond.

Practice Questions

If x + 1/x = 5, what is the value of x^2 + 1/x^2?

View Question

If 3x = 81, what is the value of x?

View Question

What is the cube of 4?

View Question

If x = 3 and y = 4, what is the value of x^2 + y^2?

View Question

A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

View Question

If log(100) = 2 and log(10) = 1, what is log(1000)?

View Question

If the sum of three consecutive integers is 96, what are the integers?

View Question

What is the cube root of 729?

View Question

If x:y = 2:3 and z:y = 4:3, what is x:z?

View Question

What is the area of a sector of a circle with radius 14 cm and central angle 90°?

View Question