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Similarity

Maharashtra Board · Class 10 · Mathematics

Practice quiz for Similarity — Maharashtra Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.

45 questions20 flashcards5 concepts

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Quick Quiz: Similarity

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1

If two triangles have heights in the ratio 3:4 and their areas are in the ratio 9:16, what is the ratio of their corresponding bases?

2

In triangle ABC, if DE || BC where D is on AB and E is on AC, and AD = 6 cm, DB = 4 cm, AE = 9 cm, then find EC.

3

In triangle PQR, if the angle bisector of angle Q meets PR at point S, and PQ = 8 cm, QR = 12 cm, PR = 15 cm, find PS.

4

Two similar triangles have areas 25 cm² and 49 cm². If the perimeter of the smaller triangle is 20 cm, find the perimeter of the larger triangle.

45 Questions·
multiple choicemultiple correcttrue falsetext answer

Sample Questions

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.

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Frequently Asked Questions

What are the important topics in Similarity for Maharashtra Board Class 10 Mathematics?
Similarity covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Similarity — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

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

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