Question

Draw the graph of lines x = -2 and y = 3.
Write the vertices of the figure formed by
these lines, X-axis and Y-axis. Also, find
the area of the figure. ​

Answer 1

Answer:

Geometry has historically held an important role in high school mathematics, primarily through its focus on deductive reasoning and proof. In addition, geometry helps students represent and describe the world in which they live; it includes categorizations and properties of shapes and their relationships. Developing skills in deductive reasoning, learning how to construct proofs, and understanding geometric properties are important outcomes of the high school geometry course. Equally important, however, is the continued development of visualization skills, pictorial representations, and applications of geometric ideas to describe and answer questions about natural, physical, and social phenomena.

Deductive reasoning is highly dependent upon communication skills. In fact, mathematics can be considered as a language - a language of patterns. This language of mathematics must be meaningful if students are to discuss mathematics, construct arguments, and apply geometry productively. Communication and language play a critical role in helping students to construct links between their informal, intuitive geometric notions and the more abstract language and symbolism of high school geometry.

Geometry describes the real world from several viewpoints. One viewpoint is that of standard Euclidean geometry - a deductive system developed from basic axioms. Other viewpoints, widely used internationally, are those of coordinate geometry, transformational geometry, and vector geometry. The interplay between geometry and algebra strengthens students' ability to formulate and analyze problems from situations both within and outside mathematics. Although students will at times work separately in synthetic, coordinate, transformational, and vector geometry, they should also have many opportunities to compare, contrast, and translate among these systems. Further, students should learn that specific problems are often solved more easily in one or another of these systems.