What is the difference between algebra and geometry?

Answer 1

Both algebra and geometry are in the field of mathematics. Algebra deals with solving numeric equations which often use letters as symbols, while geometry deals with solving physical problems related to shapes (angles and lines of triangles, rectangles, circles, ellipses, etc.)

+++

There is no "difference" because Algebra is the set of symbols, rules and laws in which all mathematical problems are described and solved, be they in geometry or in any other area. Think of an equation as simple as the three basic trigonometrical relationships: Sin A = Op/H, for a right-angled triangle where A is the angle subtended by its Opposite and the Hypotenuse sides. This combines geometry and trigonometry, but is expressed as an algebraic equation, and changing it so you can determine the hypotenuse from A and the Opposite is an algebraic move. (H = SinA/Op). You cannot treat algebra as some sort of independent academic topic, so you cannot make comparisons as the question suggests.