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NCERT New Syllabus Mathematics
Class: 10
Exercise 6.1
Topic: Triangles
Understanding Triangles: A Key Concept in Class 10 Mathematics
Triangles form one of the foundational blocks in geometry, and in the Class 10 NCERT syllabus, this topic holds significant importance. From learning the basic properties of triangles to diving deeper into congruence, similarity, and the Pythagoras theorem, the chapter on triangles equips students with essential tools to solve geometric problems.
In this blog, we will systematically explore each concept, providing clear explanations and practical solutions to the exercises. By the end of this discussion, you'll have a solid understanding of triangles, enabling you to confidently approach simple and complex problems.
Let's begin our journey into the world of triangles and uncover the logic that shapes this fascinating topic!
EXERCISE 6.1
Q1. Fill in the blanks using the correct word given in brackets :
(i) All circles are _________. (congruent, similar)
Ans: similar, "All circles are similar".
(ii) All squares are_________ . (similar, congruent)
Ans: similar, "All squares are similar".
(iii) All _________ triangles are similar. (isosceles, equilateral)
Ans: similar, "All equilateral tringles are similar".
(iv) Two polygons of the same number of sides are similar, if (a) their
corresponding angles are _________ and (b) their corresponding sides are_________ . (equal, proportional)
Ans: a) equal, b) proportional,
Two polygons of the same number of sides are similar, if
(a) their corresponding angles are equal and
(b) their corresponding sides are proportional.
2. Give two different examples of a pair of
(i) similar figures. (ii) non-similar figures.
Solution:
(i) similar figures:
a) All equilateral tringles are similar.
b) All squares are similar.
(ii) non-similar figures:
a) Equilateral tringle and isosceles traingle are non-similar.
b) Square and rectangle are non-similar.
3. State whether the following quadrilaterals are similar or not:
Ans: No, these quadrilaterals are not similar.
Conclusion
In conclusion, mastering the topic of triangles is essential for building a strong foundation in geometry. By understanding concepts like congruence, similarity, and the Pythagoras theorem, you can easily solve a wide range of problems. As you continue practicing, these geometric principles will become second nature, helping you excel in exams and real-life applications.
Keep exploring, stay curious, and remember—the beauty of mathematics lies in its logical simplicity!
Stay tuned for more insights and solutions to other important topics from the Class 10 NCERT syllabus.
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