The midpoint formula lets you find the exact center between two defined points. You might encounter this formula in your economics or geometry class or while prepping for a college entrance exam like the SAT or ACT.

The midpoint of a line segment is the point on the line segment that splits the segment into two congruent parts. A segment bisector that intersects the segment at a right angle. A segment bisector is a line (or part of a line) that passes through the midpoint.

Midpoints are points exactly in the middle of a segment: they’re equidistant to either end. Segment bisectors are lines that cut a segment right in half, which means they go through the midpoint of the segment.

Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2.

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

The class midpoint (or class mark) is a specific point in the center of the bins (categories) in a frequency distribution table; It’s also the center of a bar in a histogram. It is defined as the average of the upper and lower class limits.

A theorem provides a sufficient condition for some fact to hold, while a definition describes the object in a necessary and sufficient way. As a more clear example, we define a right angle as having the measure of π/2.

To establish a mathematical statement as a theorem, a proof is required. That is, a valid line of reasoning from the axioms and other already-established theorems to the given statement must be demonstrated. In general, the proof is considered to be separate from the theorem statement itself.

Corollary — a result in which the (usually short) proof relies heavily on a given theorem (we often say that “this is a corollary of Theorem A”). Proposition — a proved and often interesting result, but generally less important than a theorem. Axiom/Postulate — a statement that is assumed to be true without proof.

Lami’s Theorem states, “When three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two forces”. Referring to the above diagram, consider three forces A, B, C acting on a particle or rigid body making angles α, β and γ with each other.