Class 10 · ICSE · Mathematics

Similarity

Similar triangles, the basic proportionality theorem, and the relation between areas of similar figures.

Questions: 16
PYQs: 0
Topics: 2

Syllabus mapping: ICSE syllabus (CISCE)

All questions Practise this chapter

Topics in this chapter

Narrow to a single topic to practise one idea at a time.

Similar Triangles1 Areas of Similar Figures1

Questions

16 questions in this chapter.

Answer available
Class 10 · Mathematics · Similarity
The corresponding sides of two similar triangles are in the ratio 3 : 5. Find the ratio of their areas.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Similarity
The areas of two similar triangles are in the ratio 16 : 25. The ratio of their corresponding sides is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Similarity
The areas of two similar triangles are 81 cm² and 49 cm². If a side of the larger triangle is 27 cm, find the corresponding side of the smaller.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Similarity
In triangle ABC, DE is parallel to BC. If AD = 4 cm, AB = 10 cm and DE = 6 cm, find BC.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Similarity
Assertion: all squares are similar to one another. Reason: in any two squares the corresponding angles are equal and the corresponding sides are proportional. State whether both are true and whether the reason explains the assertion.
2 marksMediumAssertion–reason
Answer available
Class 10 · Mathematics · Similarity
Two similar triangles have areas 36 cm² and 64 cm². If the perimeter of the smaller is 27 cm, find the perimeter of the larger.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Similarity
In triangle ABC, right angled at B, BD is the perpendicular from B to AC. Prove that triangle ADB is similar to triangle ABC, and hence show that AB² = AD × AC.
4 marksHardStructured
Answer available
Class 10 · Mathematics · Similarity
In triangle ABC the bisector of angle A meets BC at D. Prove that BD/DC = AB/AC.
4 marksHardStructured
Answer available
Class 10 · Mathematics · Similarity
A vertical pole 6 m high casts a shadow 4 m long on the ground. At the same time a tower casts a shadow 28 m long. Find the height of the tower.
4 marksHardApplication based
Answer available
Class 10 · Mathematics · Similarity
In triangle ABC, D and E are points on AB and AC such that DE is parallel to BC. If AD : DB = 2 : 3 and the area of triangle ADE is 16 cm², find the area of triangle ABC.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Similarity
If two triangles are similar, their corresponding sides are:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Similarity
State the conditions under which two triangles are said to be similar.
2 marksEasyShort answer

See all 16 questions