NCERT Exemplar Solution for Class 9 Maths Chapter 11 – Constructions

The eleventh chapter of Class 9 Mathematics, Constructions, focuses on practical geometry using a compass, ruler, and protractor. This chapter helps students develop accuracy, visualization, and logical reasoning by applying geometric principles to real drawings. With the help of NCERT Exemplar Class 9 Maths Solutions, learners get exposure to advanced construction problems, while NCERT Solutions for Class 9 Maths provide step-by-step diagrams and explanations for each exercise. The chapter begins by revising basic constructions, such as bisecting a line segment, constructing perpendicular bisectors, and angle bisectors. These skills are essential for more complex constructions that follow. Each step is demonstrated clearly in the NCERT Solutions for Class 9 Maths, allowing students to replicate the process with precision. A major focus of this chapter is the construction of triangles under specific conditions. Students learn how to construct a triangle when:

Two sides and the included angle are given (SAS case).
Two angles and the included side are given (ASA case).
The perimeter and two base angles are given.

These constructions require the logical application of congruence rules studied earlier in the Triangles chapter. Exemplar questions challenge students with variations of these problems, encouraging them to think creatively and improve their accuracy. Another important area of study is the division of a line segment in a given ratio. Students learn how to divide a line into equal or unequal parts using simple geometric methods. This concept is particularly useful in coordinate geometry, which students will explore in higher classes. The chapter also emphasizes the construction of angles such as 60°, 90°, 120°, and their bisectors. These help in solving advanced geometry problems and are widely applied in real-world situations, including design and architecture. By solving NCERT Exemplar Class 9 Maths Solutions, learners practice complex construction-based problems that build accuracy and logical thinking. The stepwise diagrams in NCERT Solutions for Class 9 Maths ensure clarity, making it easier for students to follow and master the techniques. In conclusion, Chapter 11 strengthens students’ practical geometry skills and prepares them for advanced constructions in Class 10, such as tangents to circles. Regular practice with the textbook and exemplar problems ensures precision, confidence, and strong visualization in geometry.