Class 10 Practice – Level 2 – Set 2 – Triangles Leave a Comment / By anushka kumari / September 24, 2024 Class 10 Practice – Level 2 – Set 2 – Triangles Total questions: 25 1. The perimeters of two similar triangles ABC and PQR are 32cm and 24cm respectively. If PQ = 12cm, What is the value of AB? Topic: Similar Triangles 12 cm 14 cm 16 cm 18 cm None 2. ΔABC ∼ ΔDEF and their areas are respectively 64$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 121$ \displaystyle \text{c}{{\text{m}}^{2}}$. If EF = 15.4cm, What is the value of BC? Topic: Areas of Similar Triangles 9.4 cm 10.6 cm 11.2 cm 12.3 cm None 3. The area of two similar triangle are 169 $ \displaystyle \text{c}{{\text{m}}^{2}}$ and 121 $ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively, If the longest side of the largest triangle is 26 cm, What is the value of longest side of the smaller triangle? Topic: Areas of Similar Triangles 15 cm 18 cm 20 cm 22 cm None 4. The areas of two similar triangles are 81$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 49$ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively. If the altitude of the first triangle is 6.3 cm, What is the corresponding altitude of the other? Topic: Areas of Similar Triangles 2.2 cm 4.9 cm 5.7 cm 8.3 cm None 5. A ladder is placed in such a way that its foot is at a distance of 15 m from a wall and its top reaches a window 20 m above the ground. What should be the length of the ladder? Topic: Pythagoras Theorem 25 m 30 m 45 m 55 m None 6. The areas of two similar triangles are 100$ \displaystyle \text{c}{{\text{m}}^{2}}$ and 64$ \displaystyle \text{c}{{\text{m}}^{2}}$ respectively. If a median of the smaller triangle is 5.6cm, What is the value of corresponding median of the other? Topic: Areas of Similar Triangles 2 cm 6 cm 10 cm 7 cm None 7. The sides of a triangle are 1.4cm, 4.8cm, 5cm. Determine if it is a right angled triangle? Topic: Pythagoras Theorem True False Cannot be determined Incomplete information None 8. ΔABC is an isosceles triangle with AB = AC = 13cm. The length of altitude from A on BC is 5cm. What is the value of BC? Topic: Isosceles Triangle Properties 16 cm 20 cm 24 cm 30 cm None 9. The sides of certain triangles are 1.6cm, 3.8cm, 4cm. Determine if it is a right angled triangle? Topic: Right-Angled Triangles Yes No Cannot be determined Incomplete information None 10. A man goes 10m due south and then 24m due west. How far is he from the starting point? Topic: Pythagoras Theorem 26 m 24 m 32 m 40 m None 11. A 13-m-long ladder reaches a window of a building 12 m above the ground. Determine the distance of the foot of the ladder from the building. Topic: Pythagoras Theorem 5 m 10 m 15 m 20 m None 12. A man goes 80m due east and then 150m due north. How far is he from the starting point? Topic: Pythagoras Theorem 140 m 150 m 160 m 170 m None 13. The sides of certain triangles are 9cm,16cm,18cm. Determine if it is a right angled triangle? Topic: Right-Angled Triangles Yes No Cannot be determined Incomplete information None 14. The sides of certain triangles are 1cm, 24cm, 25 cm. Determine if it is a right angled triangle? Topic: Right-Angled Triangles Yes No Cannot be determined Incomplete information None 15. Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops. Topic: Distance Between Two Points 9 m 11 m 13 m 15 m None 16. Two triangles ABC and PQR are such that AB = 3cm, AC = 6cm, ∠A = 70°, PR = 9cm, ∠P = 70° and PQ = 4.5cm. Which of the following criterion proves ΔABC ∼ ΔPQR? Topic: Criteria for Similarity Triangles SAS criterion ASA criterion SSS criterion RHS criterion None 17. Which of the following theorem states that if a segment is formed by connecting the midpoints of two of the sides of a triangle, then that segment must be parallel to the third side? Topic: Midpoint Theorem Midpoint Theorem Basic Proportionality Theorem Pythagoras Theorem Areas of similar triangles Theorem None 18. The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of the rhombus in length is: Topic: Rhombus Properties 25 cm 28 cm 15 cm 10 cm None 19. The height of an equilateral triangle of side 5 cm is: Topic: Properties of an Equilateral Triangle 4.0 cm 4.3 cm 5.0 cm 3.4 cm None 20. In a right angled triangle, the square on the hypotenuse is equal to the sum of squares on the other two sides. Which theorem's statement is this? Topic: Pythagoras Theorem Remainder theorem Pythagoras theorem Greens theorem Isosceles triangle theorem None 21. If two angles of the one triangle are equal to the corresponding angles of the other triangle, then the triangles will be similar through: Topic: Criteria for Similarity Triangles AA-similarity criterion. ASA-similarity criterion. AAA-similarity criterion. SAS-similarity criterion. None 22. Which of the following theorem states that if a line is parallel to a side of a triangle then it intersects the other sides into two distinct points? Topic: Basic Proportionality Theorem Basic Proportionality Theorem Midpoint Theorem Pythagoras Theorem Remainder Theorem None 23. In a triangle ABC, if D, E, and F are the midpoints of sides BC, AC and AB respectively. Then, which of the following is not true. Topic: Midpoint Theorem △AFE ∼ △ABC △BFD ∼ △ABC ΔDEF ∼ △ABC None of these None 24. A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, find the length of her shadow after 4 seconds. Topic: Properties of Triangles 120 cm 136 cm 160 cm 172 cm None 25. If a line divides any two sides of a triangle in the same ratio. Then, the line must be parallel to the third side. Which theorem's statement is this? Topic: Basic Proportionality Theorem Isosceles theorem Greens theorem Pythagoras theorem Thales theorem None 1 out of 25 Time's up
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