PUMPA - THE SMART LEARNING APP

AI system creates personalised training plan based on your mistakes

## Methodical recommendation:

### 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.