UPSKILL MATH PLUS

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### Theory

 1 Introduction 2 Similarity 3 Similar triangles 4 Criteria of similarity 5 Results on similar triangles 6 Construction of similar triangles

### Textbook Questions

 1 Multiple choice question I Difficulty: easy 1 2 Multiple choice question II Difficulty: easy 1 3 Multiple choice question III Difficulty: easy 1 4 Multiple choice question IV Difficulty: easy 1 5 Two mark example problem I Difficulty: medium 2 6 Two mark example problem II Difficulty: medium 2 7 Two mark example problem III Difficulty: medium 2 8 Two mark example problem IV Difficulty: medium 2 9 Two mark example problem V Difficulty: medium 2 10 Two mark exercise problem I Difficulty: medium 2 11 Two mark exercise problem II Difficulty: medium 2 12 Two mark exercise problem III Difficulty: medium 2 13 Two mark exercise problems IV Difficulty: medium 2 14 Two mark exercise problems V Difficulty: medium 2 15 Five mark example problem I Difficulty: hard 5 16 Five mark example problem II Difficulty: hard 5 17 Five mark example problem III Difficulty: hard 5 18 Five mark example problem IV Difficulty: hard 5 19 Five mark example problem V Difficulty: hard 5 20 Five mark exercise problem I Difficulty: medium 5 21 Five mark exercise problem II Difficulty: medium 5 22 Five mark exercise problem III Difficulty: hard 5 23 Five mark exercise problem IV Difficulty: hard 5 24 Five mark exercise problem V Difficulty: hard 5 25 Five mark exercise problem VI Difficulty: hard 5 26 Five mark exercise problem VII Difficulty: hard 5 27 Eight mark example problem I Difficulty: hard 8 28 Eight mark example problem II Difficulty: hard 8 29 Eight mark exercise problem I Difficulty: hard 8 30 Eight mark exercise problem II Difficulty: hard 8 31 Eight mark exercise problems III Difficulty: hard 8 32 Eight mark exercise problems IV Difficulty: hard 8

### Practice Questions

 1 Find the ratio of the corresponding sides Difficulty: easy 1 2 Find the area of the similar triangle Difficulty: easy 1 3 Find the ratio of the areas Difficulty: easy 1 4 Find the value of the unknown Difficulty: easy 1 5 Find the unknown part of the triangle Difficulty: medium 2 6 Determine the perimeter of the similar triangles Difficulty: medium 2 7 Find the required portion of the triangle Difficulty: medium 4 8 Find the similarity criterion Difficulty: medium 2 9 Observe the picture and answer the questions Difficulty: medium 2 10 Determine the length of DE Difficulty: medium 4 11 Determine the altitude of the triangle Difficulty: hard 4 12 Find the length of the shadow Difficulty: hard 5 13 Determine the lengths of the remaining sides of the triangle Difficulty: hard 5 14 Find the height of the building Difficulty: hard 5 15 Determine the height of the man Difficulty: hard 5

### Key Questions for School Exam Preparation

 1 Check whether the triangles are similar or not Difficulty: medium 4 2 Answer the questions IV Difficulty: hard 10

### Teacher manual

 1 Methodical recommendation