Triangles — Class 10 Mathematics

Q1. Two triangles are similar if their corresponding angles are:

Q2. The Basic Proportionality Theorem states that if a line is parallel to one side of a triangle, it:

Q3. In triangle ABC, DE || BC. If AD/DB = 2/3 and AE = 4 cm, what is EC?

Q4. Which is NOT a similarity criterion for triangles?

Q5. If two triangles are similar with similarity ratio 2:3, the ratio of their areas is:

Q6. The Converse of Pythagoras Theorem states that if a² + b² = c², then:

Q7. Which of the following is a Pythagorean triplet?

Q8. In a right triangle, if sides are 5, 12, and 13, the hypotenuse is:

Q9. If two similar triangles have areas 36 cm² and 64 cm², the ratio of their sides is:

Q10. The SAS similarity criterion requires:

Q11. In triangle ABC with ∠C = 90°, if an altitude is drawn from C to AB meeting at D, then:

Q12. If triangles ABC and DEF are similar with AB/DE = 3/5, what is the ratio of their perimeters?

Q13. The ratio of corresponding altitudes in two similar triangles is the same as the ratio of their:

Q14. In right triangle ABC with right angle at C, if AC = 6 cm and BC = 8 cm, find AB:

Q15. Which statement is true for similar triangles?

Q16. The area of a triangle with sides 5, 12, and 13 is approximately:

Q17. If D and E are midpoints of AB and AC respectively in triangle ABC, then DE is:

Q18. The SSS similarity criterion applies when:

Q19. If two similar triangles have a linear scale factor of 1:3, the ratio of their areas is:

Q20. In triangle ABC, if DE || BC and AD/AB = 3/5, then AE/AC is: