 PUMPA - THE SMART LEARNING APP

Helps you to prepare for any school test or exam

### Theory

 1 Introduction 2 Basic proportionality or Thales theorem 3 Angle bisector theorem and its converse 4 Types of construction of triangle 5 Construction of a triangle when its base, vertical angle and median are given 6 Construction of a triangle when its base, vertical angle and altitude are given 7 Construction of a triangle if its base, vertical angle and the point on the base are given

### Textbook Questions

 1 Multiple choice question Difficulty: easy 2 2 Fill in the blanks I Difficulty: medium 4 3 Fill in the blanks II Difficulty: medium 4 4 Prove the following I Difficulty: medium 5 5 Find the lengths of the sides of triangle ABC Difficulty: hard 4 6 Find the lengths of the sides of triangle ABC II Difficulty: hard 2 7 Answer the questions I Difficulty: hard 10 8 Answer the questions II Difficulty: hard 5 9 Prove the following II Difficulty: hard 0 10 Prove the following III Difficulty: hard 0 11 Prove the following IV Difficulty: hard 0 12 Prove the following V Difficulty: hard 0 13 Prove the following VI Difficulty: hard 0 14 Draw a triangle Difficulty: hard 0

### Practice Questions

 1 Calculate the side AD of triangle ABC Difficulty: easy 1 2 Determine the side CB of triangle ABC Difficulty: easy 3 3 Calculate the value of the variable Difficulty: easy 3 4 Find the length of AE of triangle ABC Difficulty: easy 3 5 Determine the value of the variable Difficulty: medium 4 6 Find the side length of the triangle Difficulty: medium 4 7 Check whether the lines of the triangle are parallel Difficulty: medium 4 8 Determine the length of PM Difficulty: medium 4 9 Calculate the length of PT and VQ Difficulty: medium 4 10 Check whether CD is the bisector of angle C Difficulty: medium 4 11 Observe the picture and answer the questions Difficulty: hard 6 12 Determine the height of the small tree Difficulty: hard 5 13 Calculate the height of the mother Difficulty: hard 5 14 Verify the trees are parallel Difficulty: hard 5

### Key Questions for School Exam Preparation

 1 Answer the following questions Difficulty: hard 9

### Teacher manual

 1 Methodical recommendation