y = mx + c - Definition, Formula, and Examples

July 16, 2026

Vertex Of Hyperbola - Definition, Formula, and Examples

The vertices of a hyperbola are the two points where each branch is closest to the centre, lying on the transverse axis a distance $a$ from the centre. For $\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1$ they sit at $(\pm a, 0)$, and the distance between them is $2a$. This article defines the vertex, derives its coordinates from any standard equation, and works through examples.

Vertex of an Ellipse: Definition, Formula & Examples

The vertices of an ellipse are the two endpoints of the major axis - the farthest points from the center - located a distance $a$ from the center along the longer axis. The endpoints of the shorter (minor) axis are the co-vertices, at distance $b$. This article defines both, gives the formulas for finding them from an ellipse's equation, and works through examples.

Types of Quadrilaterals: Definition and Classification

A quadrilateral is any four-sided closed shape whose interior angles sum to $360°$, and the main types of quadrilaterals are the parallelogram, rectangle, square, rhombus, trapezoid, and kite. This article defines each type, shows how they nest in one family tree, and works through examples of classifying a shape from its sides, angles, and diagonals.

Sum Of Exterior Angles Of A Triangle — Why It Is Always 360°

The sum of the exterior angles of a triangle is always $360°$ — taking one exterior angle at each of the three vertices. This holds for every triangle, whether it is scalene, isosceles, equilateral, acute, right, or obtuse.

Rhombus Lines of Symmetry: 2 Diagonals Explained

A rhombus has exactly 2 lines of symmetry, and both of them run along its diagonals. It stops at 2 (rather than the square's 4) because a rhombus is a tilted diamond, so folding along a side-to-side midline never makes the halves match.

Platonic Solids — Definition, Properties, and Examples

The platonic solids are the five convex 3D shapes whose faces are all identical regular polygons meeting the same way at every corner: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. This article proves why only five can exist, tabulates their faces, vertices, and edges, and shows how Euler's formula $F + V - E = 2$ checks each one.