CBSE 10 Math · U4
Geometry
CBSE Class 10 Mathematics Unit IV: similar triangles, Basic Proportionality Theorem and converse, areas of similar triangles, Pythagoras theorem and converse, and circle tangent theorems.
Test yourself
A focused, distraction-free run through 70 multiple-choice questions. Hints if you need them; your score at the end.
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Topic 4.1
Basic Proportionality Theorem and Converse
Using BPT, converse of BPT, and proportional division in triangles.
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Topic 4.2
Similarity Criteria and Corresponding Parts
AAA, SSS and SAS similarity, corresponding sides, scale factors and board-style applications.
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Topic 4.3
Areas of Similar Triangles and Pythagoras
Area ratios of similar triangles, Pythagoras theorem, converse, and altitude-to-hypotenuse applications.
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Topic 4.4
Tangents to a Circle
Tangent-radius perpendicularity, tangent lengths from an external point, and angle applications.
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Topic 4.5
Mixed Geometry Proofs and Applications
Multi-step board-style problems combining similarity, BPT, area ratios, Pythagoras and tangent reasoning.
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