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Chapter 2 of 13
Important Questions

Similarity — Important Questions

Maharashtra Board · Class 10 · Mathematics

45 important questions from Similarity for Maharashtra Board Class 10 Mathematics, with answers. Written for the board exams 2027.

45 questions30 flashcards13 formulas & key relations5 concepts

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45 Questions·
multiple choicemultiple correcttrue falsetext answer

Important Questions from Similarity

1multiple correct

Which of the following conditions are sufficient to prove two triangles are similar?

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Two angles of one triangle equal to two angles of another, All three sides proportional, Two sides proportional and included angle equal, All three angles equal

The similarity tests are: AA (two angles equal), SSS (all three sides proportional), SAS (two sides proportional with included angle equal), and AAA (all angles equal). One side and one angle being equal is not sufficient for similarity.

2multiple choice

If three parallel lines make intercepts AB = 4 cm and BC = 6 cm on one transversal, and intercept PQ = 6 cm on another transversal, find QR.

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9 cm

By the property of parallel lines and transversals, AB/BC = PQ/QR. Substituting: 4/6 = 6/QR. Cross multiplying: 4 × QR = 6 × 6 = 36. Therefore QR = 36/4 = 9 cm.

3true false

True or False: If two triangles have all corresponding angles equal, they are necessarily congruent.

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False

False. If two triangles have all corresponding angles equal, they are similar but not necessarily congruent. Congruence requires equal corresponding sides as well. Similar triangles can have different sizes.

4multiple choice

In triangles ABC and DEF, AB = 6 cm, BC = 8 cm, CA = 10 cm, DE = 9 cm, EF = 12 cm, FD = 15 cm. What is the ratio of similarity?

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2:3

Check if sides are proportional: AB/DE = 6/9 = 2/3, BC/EF = 8/12 = 2/3, CA/FD = 10/15 = 2/3. Since all ratios are equal, the triangles are similar with ratio 2:3.

+41 more questions on Similarity (Maharashtra Board Class 10 Mathematics)

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Frequently Asked Questions

What are the important topics in Similarity for Maharashtra Board Class 10 Mathematics?
Key topics in Similarity include Ratio of Areas of Two Triangles, Basic Proportionality Theorem and Its Converse, Angle Bisector Theorem and Its Converse, Three Parallel Lines and Their Transversals. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many important questions are there in Similarity?
Super Tutor has 45 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.

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