Triangles
55 CBSE Class 10 Mathematics practice questions with answers and worked solutions.
About this chapter
- Difficulty: 16 easy · 32 moderate · 7 hard.
- Most-asked subtopics: Applications of Similarity (23), Basic Proportionality Theorem (16), Criteria for Similarity of Triangles (9).
- Updated 18 September 2026.
#1Basic Proportionality Theorem
#2Basic Proportionality Theorem
#3Basic Proportionality Theorem
- Set · 4 questionsFill in the blanks using the correct word given in brackets :
#4Similar Figures
#5Similar Figures
#6Similar Figures
#7Similar Figures
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- Set · 2 questionsGive two different examples of pair of
#8Similar Figures
#9Similar Figures
#10Similar Figures
- Set · 2 questionsIn Fig. 6.17, (i) and (ii), DE BC. Find EC in (i) and AD in (ii).
#11Basic Proportionality Theorem
#12Basic Proportionality Theorem
- Set · 3 questionsE and F are points on the sides PQ and PR respectively of a PQR. For each of the following cases, state whether EF QR :
#13Basic Proportionality Theorem
#14Basic Proportionality Theorem
#15Basic Proportionality Theorem
#16Basic Proportionality Theorem
#17Basic Proportionality Theorem
#18Basic Proportionality Theorem
#19Basic Proportionality Theorem
#20Basic Proportionality Theorem
#21Basic Proportionality Theorem
#22Basic Proportionality Theorem
#23Basic Proportionality Theorem
#24Criteria for Similarity of Triangles
#25Criteria for Similarity of Triangles
#26Applications of Similarity
#27Applications of Similarity
#28Applications of Similarity
- Set · 6 questionsState which pairs of triangles in Fig. 6.34 are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form :
#29Criteria for Similarity of Triangles
#30Criteria for Similarity of Triangles
#31Criteria for Similarity of Triangles
#32Criteria for Similarity of Triangles
#33Criteria for Similarity of Triangles
#34Criteria for Similarity of Triangles
#35Criteria for Similarity of Triangles
#36Applications of Similarity
#37Applications of Similarity
#38Applications of Similarity
#39Applications of Similarity
- Set · 4 questionsIn Fig. 6.38, altitudes AD and CE of ABC intersect each other at the point P. Show that:
#40Applications of Similarity
#41Applications of Similarity
#42Applications of Similarity
#43Applications of Similarity
#44Applications of Similarity
- Set · 2 questionsIn Fig. 6.39, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that:
#45Applications of Similarity
#46Applications of Similarity
- Set · 3 questionsCD and GH are respectively the bisectors of ACB and EGF such that D and H lie on sides AB and FE of ABC and EFG respectively. If ABC ~ FEG, show that:
#47Applications of Similarity
#48Applications of Similarity
#49Applications of Similarity
#50Applications of Similarity
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