Title 2. Similar Figures.pdf ✅

SIMILAR FIGURES TRIANGLE 06 Class 10th Mathematics (Practice Sheet) 1 The perimeters of two similar triangles ABC and PQR are 60cm and 36cm respectively. If PQ = 9cm, then AB equals. A. 6cm B. 10cm C. 15cm D. 25cm 2 If two rectangles are similar with a scale factor of 2:3, and the area of the smaller rectangle is 36 square units, what is the area of the larger rectangle? A. 18 square units B. 48 square units C. 54 square units D. 72 square units 3 wo triangles, ∆ABC and ∆PQR, are similar. If the length of AB is 6cm and the length of PQ is 9cm, and their corresponding angles are equal, what is the scale factor? A. 2 : 3 B. 3 : 2 C. 1 : 2 D. 2 : 1 4 The scale factor of two similar cubes is 4 : 5. If the volume of the smaller cube is 64 cubic units, what is the volume of the larger cube? A. 80 cubic units B. 100 cubic units C. 125 cubic units D. 144 cubic units 5 If the areas of two similar triangles are in the ratio 361 : 529. What would be the ratio of the corresponding sides? A. 19 : 23 B. 23 : 19 C. 361 : 529 D. 15 : 23 6 If the areas of two similar triangles are equal, prove that they are congruent. 7 The sides of two similar triangles are in the ratio 7 : 10. Find the ratio of areas of these triangles. 8 Give two examples of similar figures. 9 If a line intersects sides AB and AC of a triangle ABC at D and E, respectively and is parallel to BC, prove that AD AB = AE AC . Page 1 Email: Phone No: Website: [email protected] +91 93299 65211 www.brisklearning.com Address: Office No. 605, CTS No. 658, Gayatri Bhuvan, A & B, Kandivali, Dattani Park, Thakur Village, Kandivali East, Mumbai, Maharashtra 400101