Quadrilateral Theorems
- Sum of Interior Angles Theorem: In any quadrilateral, the sum of the measures of its interior angles equals 360 degrees.
- Opposite Angles Theorem: Within a quadrilateral, the sum of the measures of two opposite angles is 180 degrees.
- Consecutive Angles Theorem: Adjacent (consecutive) angles in a quadrilateral are supplementary, meaning their measures sum up to 180 degrees.
- Diagonals of Parallelograms Theorem: The diagonals of a parallelogram bisect each other, dividing each diagonal into two equal segments.
- Opposite Sides and Angles of Parallelograms Theorem: In a parallelogram, opposite sides are equal in length, and opposite angles are congruent.
- Diagonals of Rectangles and Rhombuses Theorem: In rectangles and rhombuses, the diagonals are equal in length. Additionally, the diagonals of a rectangle are congruent, while those of a rhombus bisect each other at right angles.
- Diagonals of Trapezoids Theorem: The diagonals of a trapezoid may have different lengths. However, the segment joining the midpoints of the non-parallel sides is parallel to the bases and is equal to half their sum.
Quadrilateral – Definition, Properties, Types, Formulas, Examples
Quadrilateral: A quadrilateral is a two-dimensional figure characterized by having four sides, four vertices, and four angles. It can be broadly classified into two categories: concave and convex. Within the convex category, there are several specific types of quadrilaterals, including trapezoids, parallelograms, rectangles, rhombi, and squares.
The sum of the interior angles of a Quadrilateral is 360°. Let’s learn what is a quadrilateral, its shapes, types, properties, formulas, and examples in detail.
Table of Content
- What is a Quadrilateral?
- Quadrilateral Definition
- Properties of Quadrilateral
- Types of Quadrilateral
- Concave Quadrilateral
- Convex Quadrilateral
- Equilateral Quadrilateral vs Irregular Quadrilaterals
- Quadrilateral Shape
- Trapezium
- Kite
- Parallelogram
- Rectangle
- Rhombus
- Square
- Quadrilateral Theorems
- Quadrilateral Lines of Symmetry
- Quadrilateral Sides and Angles
- Quadrilateral Formulas
- Area of Quadrilateral
- Perimeter of Quadrilateral
- Difference between Different Quadrilaterals
- Solved Questions on Quadrilateral