Class 10 Maths — Chapter 6: TRIANGLES

What you'll learn

• ▸Distinguishing Similar and Congruent Figures
• ▸Conditions for Similarity of Polygons
• ▸Application of Similarity Conditions
• ▸Introduction to Similarity of Triangles

Chapter Summary

--- PAGE 1 --- 1062CH06 TRIANGLES 6 6.1 Introduction You are familiar with triangles and many of their properties from your earlier classes. In Class IX, you have studied congruence of triangles in detail. Recall that two figures are said to be congruent, if they have the same shape and the same size. In this chapter, we shall study about those figures which have the same shape but not necessarily the same size. Two figures having the same shape (and not necessarily the same size) are called similar figures. In particular, we shall discuss the similarity of triangles and apply this knowledge in giving a simple proof of Pythagoras Theorem learnt earlier. Can you guess how heights of mountains (say Mount Everest) or distances of some long distant objects (say moon) have been found out? Do you think these have Reprint 2025-26 --- PAGE 2 --- 74 MATHEMATICS been measured directly with the help of a measuring tape? In fact, all these heights and distances have been found out using the …

Practice Questions from this Chapter

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1. Show a real-world example of similar triangles. Get Solution →
2. Explain why all circles are similar. Get Solution →
3. Describe how architects use scale. Get Solution →
4. According to the text, what is the definition of congruent figures? Get Solution →
5. What are figures that have the same shape but not necessarily the same size called? Get Solution →
6. Which statement correctly describes the relationship between congruent and similar figures? Get Solution →
7. As stated in the text and Exercise 6.1, which of the following types of figures are always similar? Get Solution →
8. What are the two conditions for two polygons of the same number of sides to be similar? Get Solution →

Did you know?

• 💡 Snowflakes exhibit self-similarity, meaning parts resemble the whole shape.
• 💡 Ancient Greeks used shadow lengths and similar triangles to measure pyramid heights.
• 💡 Engineers build tiny scale models of airplanes to test designs in wind tunnels.
• 💡 Eagles' eyes act like powerful telephoto lenses, making distant prey seem closer.
• 💡 A map's scale factor helps adventurers understand real-world distances without measuring them.

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