Skip to main content
Super TutorResources
Chapter 13 of 22
Important Questions

Similarity — Important Questions

ICSE · Class 10 · Mathematics

40 important questions from Similarity for ICSE Class 10 Mathematics, with answers. Includes multiple choice, multiple correct and true false questions.

40 questions24 flashcards5 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Similarity? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.

Try Super Tutor — Free

Free trial, no card needed.

A comparison illustrating the difference between congruent figures (same shape and size) and similar figures (same shape, different size), using examples of triangles and other polygons.
Super Tutor

One of 8 illustrations for Similarity in Super Tutor — alongside flashcards, concept maps and practice questions.

40 Questions·
multiple choicemultiple correcttrue falsetext answer

Important Questions from Similarity

1multiple correct

Which of the following are conditions for triangle similarity? (Select all correct answers)

Show answer

AA (Angle-Angle), SSS (Side-Side-Side proportional), SAS (Side-Angle-Side proportional)

The three conditions for triangle similarity are: AA (two angles equal), SSS (all three sides proportional), and SAS (two sides proportional with included angle equal). ASA and RHS are congruence conditions, not similarity.

2multiple choice

In a triangle ABC, D and E are points on AB and AC such that DE || BC. If AD = 4 cm, AB = 10 cm, and AC = 15 cm, find AE.

Show answer

6 cm

By Basic Proportionality Theorem, AD/AB = AE/AC → 4/10 = AE/15 → AE = (4 × 15)/10 = 60/10 = 6 cm

3multiple correct

Which of the following statements about similar triangles are true? (Select all correct)

Show answer

Corresponding angles are equal, Corresponding sides are proportional, All congruent triangles are similar

Similar triangles have equal corresponding angles and proportional corresponding sides. All congruent triangles are similar (same shape and size), but not all similar triangles are congruent (they may have different sizes).

4multiple choice

Two triangles have sides in the ratio 3:4. If the area of the smaller triangle is 27 cm², find the area of the larger triangle.

Show answer

48 cm²

Side ratio = 3:4, so area ratio = 3²:4² = 9:16. If smaller area = 27 cm², then larger area = (16/9) × 27 = 16 × 3 = 48 cm²

+36 more questions on Similarity (ICSE Class 10 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Similarity for ICSE Class 10 Mathematics?
Key topics in Similarity include Similar Figures and Similar Triangles, Conditions for Similarity of Triangles, Basic Proportionality Theorem and Its Converse, Internal Angle Bisector Theorem and Its Converse. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many important questions are there in Similarity?
Super Tutor has 40 practice questions for Similarity, including multiple choice, multiple correct, true false, text answer questions. A sample with answers is on this page.

Sources & Official References

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

More resources for Similarity

All ICSE Class 10 Mathematics Important Questions

For serious students

Get the full Similarity chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 10 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free