Mathematics Secondary 2. Chapter 1 Congruence and Similarity. Page 3

11. Given that ABC triangle is similar to APQ triangle, calculate the values of x and y.

12. APQ triangle is similar to ABC triangle and AP : PB = 5 : 3. If PQ = 8 cm and QC = 6 cm, calculate the length
(a) BC,
(b) AQ.

13. A model of an apartment block is made to a scale of 1 : 50.
(a) Find the actual height of the apartment bloack if its height on the model is 42 cm.
(b) If the area of the hall of the apartment is 34 m2, find the area of the hall on the model.
(c) If the area of a unit of the apartment is 1200 cm2 on the model, find its actual area in m2.

14. On a map drawn on a scale of 2 cm to represent 300 m, what length on the map will represent a road 2.4 km long? A railway track on the map has a length of 14. 5 cm. Find its actual length in km.

15. A model of a building is made to a scale of 1 cm to 6 m.
(a) How tall is the model if the actual height of the building is 260 m?
(b) The base area of the building is 5400 m2. Find the base area of the building in the model.

Need more practise, go to number 16