Cambridge International Mathematics

‘In proportion’ means ‘in the same ratio’. 3cm 4cm xcm 6cm 4cm 5cm 7cm xcm 5cm 8cm 3cm xcm xm 7m 11 m 5m 12 m 2m 8m A B D C E F ...

370 Similarity (Chapter 18) If two triangles are equiangular then they aresimilar. Similar triangles have corresponding sides in ...

Similarity (Chapter 18) 371 EXERCISE 18B.1 1 Show that the following figures possess similar triangles: abc de f FINDING SIDE LE ...

372 Similarity (Chapter 18) Step 1: Label equal angles. Step 2: Put the information in table form, showing the equal angles and ...

Similarity (Chapter 18) 373 gh i The properties of similar triangles have been known since ancient times. But even with the tech ...

374 Similarity (Chapter 18) Example 6 Self Tutor When a 30 cm ruler is stood vertically on the ground it casts a 24 cm shadow. A ...

AB C E D 400 m 70 m 30 m D C A E B 25 m 1.2 m 2m 5m 11.0 m 23.8 m AB C D 1.4 m 1.92 m 6.4 m U T S Similarity (Chapter 18) 375 4 ...

376 Similarity (Chapter 18) AREAS The two circles shown are similar. Circle B is an enlargement of circle A with scale factork. ...

Similarity (Chapter 18) 377 Surface area of B=k^2 £surface area of A ) 900 =k^2 £ 1600 ) 169 =k^2 ) k=^34 fk> 0 g Now the rad ...

378 Similarity (Chapter 18) Suppose we enlarge cylinder A to give cylinder B. End area of B=k^2 £end area of A ) 25 =k^2 £ 9 )^2 ...

Similarity (Chapter 18) 379 5 Consider the followingsimilarsolids. Find the unknown length or volume: ab cd 6 Two solid wooden s ...

380 Similarity (Chapter 18) Review set 18A #endboxedheading 1 Draw two equiangular quadrilaterals which are not similar. 2 Find ...

Similarity (Chapter 18) 381 8 P and Q are markers on the banks of a canal which has parallel sides. R and S are telegraph poles ...

Challenge #endboxedheading 382 Similarity (Chapter 18) 3.6 cmX A B C 3cm 2.7 cm ycmX P Q R 4cm xcm A B C D E 5cm 4cm 382 Similar ...

Introduction to functions 19 Contents: A Mapping diagrams [3.1] B Functions [3.1, 3.2] C Function notation [3.1, 3.6] D Composit ...

384 Introduction to functions (Chapter 19) Amappingis used to map the members orelementsof one set called thedomain, onto the me ...

Introduction to functions (Chapter 19) 385 We can also use set notation to describe mappings. For example, consider the set f 0 ...

386 Introduction to functions (Chapter 19) Consider these examples: ² All values ofxandyare possible. ) the domain is fxjx 2 Rg ...

Introduction to functions (Chapter 19) 387 2 For each of the following graphs, find the domain and range and decide whether it i ...

388 Introduction to functions (Chapter 19) Example 3 Self Tutor Which of these relations are functions? abc a Every vertical lin ...