| Theorem | Year |
|---|---|
| 9.1.3 In correspondence of two triangles, If three sides of one triangle are congruent to the corresponding three sides of the other then the two triangles are congruent. Prove it. | 2023 |
| 9.1.1 In any correspondence of two triangles, If one side and any two angles of one triangle are congruent to the corresponding sides and angles of the other, the two triangles are congruent. Prove it. | 2022 |
| Unit 9 Short | |
| 9.1.2 If two angles of a triangle are congruent, then the sides opposite to them are also congruent. Prove it. | 2022 |
| Unit 10 'Section-C' | |
| 10.1.2 If two opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram, prove it. | 2025 |
| 10.1.1 In parallelogram, the opposite sides are congruent, the opposite angles are congruent, the diagonal bisect each other. Prove it. | 1. 2024 |
| 10.1.2 If two opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram, prove it. | 2023 |
| Unit 10 'Section-B' | |
| 10.1.2 If two opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram, prove it. | 2022 |
| Unit 11 'Section-B' | |
| 11.1.3 The right bisectors of the sides of a triangle are concurrent. Prove it. | 2025 |
| 11.1.4 Any point on the bisector of an angle is equidistant from its arms. Prove it. | 2025 |
| 11.1.3 The right bisectors of the sides of a triangle are concurrent. Prove it. | 2024 |
| 11.1.4 Any point on the bisector of an angle is equidistant from its arms. Prove it. | 2023 |
| - OR - 11.1.4 Any point on the bisector of an angle is equidistant from its arms. Prove it. | 2022 |
| Unit 12 'Section-B' | |
| 12.1.2 If two angles of a triangles are unequal in measure, the side opposite to the greater angle is longer than the side opposite to the smaller angle. Prove it. | 2025 |
| 12.1.3 The sum of the length of any two sides of a triangle is greater than the length of the third side. Prove it. | 2024 |
| 12.1.2 If two angles of a triangles are unequal in measure, the side opposite to the greater angle is longer than the side opposite to the smaller angle. Prove it. | 2023 |
| Unit 13 'Section-B' | |
13.2 -- OR -- Construct a triangle ABC in which mBC = 6cm, mAC = 4cm and mAB = 5cm. Draw the bisectors of ∠A and ∠B (steps of Construction not required). | 2025 |
| 13.2 -- OR -- Construct a triangle PQR in which mPQ = 5.7cm, mQR = 6.4cm and mPR = 4.4cm. Draw the altitude from vertex Q and R | 2024 |
| 13.2 -- OR -- Construct a ∆ABC in which mBC = 6cm, mAC = 4cm and mAB = 5cm. Draw the bisectors of angle A and B. | 2023 |
| 13.1 Construct a ∆PQR, in which mPR = mQR = 4.7 cm and ∠P = 55°. | 2022 |
| Unit 14 'Section-B' | |
| 14.1.4 Triangles on equal bases and equal altitudes are equal in area. Prove it. | 2024 |
| 14.1.4 Triangles on equal bases and equal altitudes are equal in area. Prove it. | 2023 |
| Unit 14 'Section-C' | |
| 15.1.2 In any triangle, the square on the side opposite to an acute angle is equal to the sum of the squares on the sides containing that acute angle diminished by twice the rectangle contained by one of those sides the projection on it of the other. Prove it. | 2025 |
| 15.1.3 --OR-- In any triangle, the sum of square on any two sides is equal to twice the square on half of the third side together with twice the square on the median which bisect the third side, (Apollonius theorem) | 2024 |
