Which of the following statements is true?

In mathematics-education pedagogy, the branches of mathematics -- arithmetic, algebra, geometry, statistics, and so on -- are treated as one interconnected system rather than as separate, self-contained subjects: concepts and procedures from one branch are the tools regularly used to build, justify, or compute within another.

Some of the connections behind this view:

• Coordinate geometry expresses geometric relationships as algebraic equations, and geometric reasoning often motivates algebraic identities -- one example of algebra and geometry acting as tools for each other.

• Solving and simplifying an equation uses the same operations -- addition, multiplication, working with numbers -- that make up arithmetic.

• A full treatment of triangle congruence, including coordinate-based proofs and pinning down unknown side lengths or angles, typically calls on algebraic technique.

• Standard statistical measures, such as a mean or a variance, are algebraic expressions evaluated on data.

Each of these connections illustrates why mathematics-education pedagogy treats the branches of mathematics as interdependent rather than as separable subjects -- the principle directly stated by the claim that different branches of mathematics depend on each other. A stricter, narrower reading might allow a minimal synthetic introduction to congruence, or a very elementary pass at descriptive statistics, with very little algebra; however, the standard mathematics-pedagogy position -- and the official UPTET 2017 answer key for this exact question -- treats the interdependence of branches as the intended and correct answer here, matching the claim that different branches of Mathematics, viz. algebra, geometry, etc., are dependent on each other.