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Revision Notes

Similarity Of Triangles

NIOS · Class 10 · Maths

Quick revision notes for Similarity Of Triangles — NIOS Class 10 Maths. Key concepts, formulas, and definitions for last-minute revision.

42 questions28 flashcards5 concepts

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Key Topics to Revise

1

1. Similar Plane Figures and Similar Objects

  • Similar objects have the same shape but not necessarily the same size.
  • Two polygons are similar only if both corresponding angles are equal and corresponding sides are proportional.
  • The symbol ~ means 'is similar to'.
2

2. Basic Proportionality Theorem and Its Converse

  • If a line is drawn parallel to one side of a triangle and intersects the other two sides, the two sides are divided proportionally.
  • In triangle ABC, if DE is parallel to BC, then AD/DB = AE/EC.
  • The converse is also true: if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
3

3. Angle Bisector Theorem

  • The bisector of an interior angle of a triangle divides the opposite side in the ratio of the sides containing the angle.
  • If AD bisects angle A in triangle ABC, then BD/DC = AB/AC.
  • This theorem is useful when one side of a triangle is divided by an angle bisector.
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4. Similarity Criteria for Triangles

  • AAA criterion: if corresponding angles of two triangles are equal, the triangles are similar.
  • It is enough to check two angles, because the third angle is automatically equal since the angle sum is 180°.
  • SSS criterion: if corresponding sides of two triangles are proportional, the triangles are similar.

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Full Notes

Key Concepts

Objects with the same shape butIf a line is drawn parallelIf a line divides any twoThe bisector of an interior angleIf the corresponding angles of two

Frequently Asked Questions

What are the important topics in Similarity Of Triangles for NIOS Class 10 Maths?
Key topics in Similarity Of Triangles include Similarity of Triangles - Complete Concept Map, Complete Overview of Similarity of Triangles, Similarity of Triangles - Complete Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Similarity Of Triangles — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 42 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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