NCERT Solutions For Class 10 Maths Chapter 6 Triangles Solutions: Are you also a class 12 board student preparing for the upcoming exams? Well, don’t worry as we got you covered. Students can refer to this article to get the solutions in one place. These solutions will aid in understanding Chapter 6 of Class 12 Physics, "Triangles". The NCERT Solutions for Chapter 6, covers theoretical concepts and numerical problems. Read on to find solutions to all exercises in Chapter 6 of Class 12 Physics NCERT.
NCERT Solutions For Class 10 Maths Chapter 6 Triangles Solutions
1. Fill in the blanks using the correct word given in brackets :
(i) All circles are (congruent, similar)
(ii) All squares are. (similar, congruent)
(iii) All triangles are similar. (isosceles, equilateral)
(iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding sides are. (equal, proportional)
2. Give two different examples of a pair of
(i) similar figures.
(ii) non-similar figures.
E and F are points on the sides of PQ and PR respectively of triangle PQR. For each of the following cases, state whether EF || QR :
(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm
3. In Fig. 6.18, if LM || CB and LN || CD, prove that AM/AN = AB/AD
4. In Fig. 6.19, DE || AC and DF || AE. Prove that BF/BE = FE/EC
5. In Fig. 6.20, DE || OQ and DF || OR. Show that EF || QR.
6. In Fig. 6.21, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.
7. Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another bisects the third side. (Recall that you have proved it in Class IX).
8. Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).
9. ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that AO/CO= BO/DO
10. The diagonals of a quadrilateral ABCD intersect each other at point O such that AO/CO BO/DO. Show that ABCD is a trapezium.
We have provided all the questions from exercise 6.1 of Chapter 6 Triangles. To get the questions of the rest of the exercises, students can download PDFs for free.
CHECK: NCERT Solutions For Class 10 Maths Chapter 6 Triangles Solutions
CBSE Class 10 Maths Syllabus 2024-25
| Units | Unit Name | Marks |
| I | NUMBER SYSTEMS | 6 |
| II | ALGEBRA | 20 |
| III | COORDINATE GEOMETRY | 6 |
| IV | GEOMETRY | 15 |
| V | TRIGONOMETRY | 12 |
| VI | MENSURATION | 10 |
| VII | STATISTICS & PROBABILITY | 11 |
| Total | 80 |
CBSE Class 10 Maths Question-Typology 2024-25
| S. No. | Typology of Questions | Total Marks | % Weightage (approx.) |
| 1 | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 43 | 54 |
| 2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 19 | 24 |
| 3 | Analysing : Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions | 18 | 22 |
| Total | 80 | 100 |
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