PUMPA - THE SMART LEARNING APP

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### Theory

Number | Name | Description |
---|---|---|

1. | Recalling congruence | Let us recall the concept of congruence. |

2. | Axioms supporting congruence in triangles | Let us look at the axioms supporting congruence in triangles. |

3. | Some properties of a triangle | Let us look at some properties of a triangle. |

4. | Inequalities in a triangle | Let us look at inequalities in a triangle. |

### Exercises

Number | Name | Type | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Find the greatest side or an angle | 2nd type - interpretation | easy | 1 m. | Find the greatest side or an angle of a triangle using the given conditions. |

2. | Check whether the given condition is correct or not | 2nd type - interpretation | easy | 1 m. | Check whether the given condition is right or not by applying the right theorem. |

3. | Find the angles | 2nd type - interpretation | medium | 3 m. | Use the relevant theorem to find the required angles. |

4. | Find the remaining angles | 2nd type - interpretation | medium | 3 m. | Find the remaining angles using the given conditions. |

5. | Choose the right statement | 2nd type - interpretation | hard | 5 m. | Choose the right statement from the given set of options. |

6. | Complete the following | 2nd type - interpretation | hard | 7 m. | Complete the blanks with the relevant choices. |

7. | Fill up the blanks | 2nd type - interpretation | hard | 5 m. | Fill up the blanks with the relevant choices. |

### Exercises for teacher use

Number | Name | Type | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Find the shortest line segment | Other | easy | 1 m. | From the given set of line segments, spot the shortest line segment. |

2. | Prove that the given angles are equal | Other | medium | 3 m. | Prove that the given angles are equal using the given conditions. |

3. | Prove the conditions on the quadrilateral | Other | medium | 4 m. | Prove the conditions on the quadrilateral. |

4. | Prove the congruence of the two triangles | Other | medium | 3 m. | Prove the congruence of the given two triangles. |

5. | Prove the following | Other | medium | 4 m. | Using relevant evidences, prove the given conditions. |

6. | Prove the inequalities in the two triangles | Other | medium | 3 m. | Prove the inequalities in the two triangles. |

7. | Show that the given statement is true | Other | medium | 6 m. | Prove the correcness of the given conditions. |

8. | Prove the conditions from the figure given | Other | hard | 5 m. | Prove the given conditions using correct congruence theorems. |

9. | Prove the following conditions | Other | hard | 5 m. | Prove the following conditions using right congruence theorems. |

10. | Say whether the given conditions can be proven or not | Other | hard | 5 m. | Say whether the given conditions can be proven or not using the mid-point concept effectively. |

### Tests

Number | Name | Recomended time: | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Training test | 00:10:00 | medium | 7 m. |

### Question Bank for Teachers

Number | Name | Recomended time: | Difficulty | Points | Description |
---|---|---|---|---|---|

1. | Homework | 00:15:00 | medium | 7 m. | |

2. | Homework | 00:20:00 | hard | 12 m. | |

3. | Homework | 00:20:00 | medium | 13 m. | |

4. | Progress test | 00:30:00 | hard | 17 m. | |

5. | Progress test | 00:25:00 | hard | 10 m. |