CBSE Class 10 Maths Chapter 6 – Triangles (Exercise 6.1) Solutions
CBSE Class 10 Maths Ex 6.1 Solutions
Mathematics in Class 10 CBSE plays a crucial role in building strong fundamentals for higher studies and competitive exams. One of the most important chapters is Chapter 6 – Triangles, where students learn about similarity of figures, properties of triangles, and applications in geometry.
In Exercise 6.1, the focus is on understanding similar figures and applying the basic criteria of similarity to solve questions.
Key Concepts Covered in Ex 6.1
- Similar Figures: Two figures are called similar if their shapes are the same, but sizes may differ. Example: All equilateral triangles are similar, all circles are similar.
- Similarity of Triangles: Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.
- AA (Angle-Angle) Criterion of Similarity: If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
NCERT Solutions for Exercise 6.1
The questions in Ex 6.1 mainly ask students to identify pairs of similar figures and check whether given triangles are similar using the AA criterion.
Example Question (Q1):
Check whether the following pairs of triangles are similar or not.
Solution Approach: Compare corresponding angles and apply the AA criterion of similarity.
Example Question (Q2):
In triangles, if corresponding angles are equal, prove that they are similar.
Solution Approach: Use the AA similarity theorem and show proportionality between sides if required.
Why This Exercise is Important
- Builds foundation for Theorems on Similarity of Triangles.
- Improves logical and reasoning skills.
- Important for board exams as multiple questions are framed from this section.
Tips to Solve Ex 6.1 Easily
- Always compare corresponding angles first.
- Write triangles with matching vertices to avoid confusion.
- Practice diagrams neatly to visualize similarity clearly.
- Revise similarity criteria (AA, SSS, SAS).
Conclusion
CBSE Class 10 Maths Chapter 6 – Triangles (Exercise 6.1) introduces you to the concept of similar figures and similarity of triangles. Mastering this exercise will make it easier to solve later exercises and geometry-related problems. Regular practice, along with understanding theorems, is the key to scoring high in this chapter.