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Knowledge
The chapter discusses similarity in triangles, establishing fundamental criteria for determining when two figures are similar, particularly focusing on triangles. It highlights the importance of corresponding angles and side ratios while also applying these concepts in various practical scenarios, such as indirect measurements. Additionally, the chapter introduces several theorems and activities to facilitate understanding of these concepts.
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Sections
References
NCERT Study MaterialClass Notes
Memorization
What we have learnt
- Similar figures have the sa...
- All congruent figures are s...
- Two polygons are similar if...
Final Test
Revision Tests
Chapter FAQs
What we have learnt
- Similar figures have the same shape but not necessarily the same size.
- All congruent figures are similar, but similar figures need not be congruent.
- Two polygons are similar if their corresponding angles are equal and their corresponding sides are proportional.
- The AAA (Angle-Angle-Angle) criterion indicates that if two triangles have their corresponding angles equal, then their corresponding sides are in proportion.
Key Concepts
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Term: Similar Figures
Definition: Figures with the same shape but not necessarily the same size.
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Term: Congruent Figures
Definition: Figures that are the same shape and size.
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Term: Basic Proportionality Theorem
Definition: If a line is drawn parallel to one side of a triangle, it divides the other two sides in the same ratio.
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Term: AAA Similarity Criterion
Definition: If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio.
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Term: SSS Similarity Criterion
Definition: If in two triangles, corresponding sides are in the same ratio, then the triangles are similar.
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Term: SAS Similarity Criterion
Definition: If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in the same ratio, the two triangles are similar.