Geometry

Fundamentals of geometry
FACEPrep · 4 min read
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. In this we discuss the fundamentals of geometry and parallel lines.
Fundamentals of triangles
FACEPrep · 3 min read
In this, we discuss the basic properties of triangles and classification of triangles based on sides and angles.
Right triangles
FACEPrep · 3 min read
A right triangle or right-angled triangle is a triangle in which one angle is a right angle. In this, we discuss the basic properties of right triangles, Pythagoras theorem and Euler line.
Elements of triangles
FACEPrep · 2 min read
In this, we discuss various elements of triangles like medians, centroid, altitude, orthocenter, perpendicular bisectors, circumcenter, angular bisectors, and incenter
Concepts of similar triangles
FACEPrep · 3 min read
Two triangles are said to be similar if their corresponding angles are equal and corresponding sides are proportional. In this article, we discuss similarity of triangles, postulates of similarity and properties of similar triangles.
Polygons
FACEPrep · 3 min read
A polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit. In this we look at the regular polygons like hexagon and octagon.
Quadrilaterals
FACEPrep · 3 min read
A quadrilateral is any closed shape that has four sides. The sum of the measures of the angles is 360 degrees. Some of the known quadrilaterals are square,rectangle, trapezium, parallelogram and rhombus. We look at some of their properties.
Circle geometry
FACEPrep · 3 min read
A circle is a closed curve formed by a set of points on a plane that are at the same distance from its center. In this article, we discuss some important definitions, properties of circles, chords of a circle and tangents.
Solid geometry
FACEPrep · 4 min read
In this article we discuss Euler's formula of solid geometry and properties of solid shapes like cube, cuboid, tetrahedron, parallelepiped, prism, pyramid, cylinder, cone and, sphere.