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Similarity — Practice Quiz

Maharashtra Board · Class 10 · Mathematics

Try a 4-question quiz on Similarity for Maharashtra Board Class 10 Mathematics: tap an answer to check it and see why.

45 questions30 flashcards13 formulas & key relations5 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.

+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 practice questions are there for Similarity?
There are 45 questions on Similarity. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

More resources for Similarity

All Maharashtra Board Class 10 Mathematics Practice Quiz

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