Chapter-wise Worksheets for Class 7 Mathematics: All Chapters
Access comprehensive chapter-wise worksheets for All Chapters using the CBSE Class 7 Mathematics Congruence of Triangles and Triangle Properties Worksheet Set 17. Designed to align with the 2026-27 academic syllabus for Class 7 Mathematics, these printable practice sets help students reinforce key concepts and improve their overall exam readiness.
Practice Class 7 Mathematics Worksheets: All Chapters
Access the complete worksheet PDF for Class 7 Mathematics below. Regular practice with these targeted academic tasks builds familiarity with standard question patterns and helps secure higher marks in final school examinations.
Questions
Q1. How many conditions are used to check the congruence of two triangles? [1 mark]
(a) 4
(b) 5
(c) 6
(d) 3
View Answer & Explanation
Answer: (b) 5. They are SSS, SAS, ASA, AAS and RHS.
Teacher's Note:
1. Count the standard congruence rules for triangles.
2. The right-angle case, RHS, is included.
Q2. Which of the following congruence conditions is not valid? [1 mark]
(a) SAS
(b) AAS
(c) ASA
(d) SSA
View Answer & Explanation
Answer: (d) SSA. Two sides and a non-included angle do not fix a unique triangle.
Teacher's Note:
1. SAS, ASA and AAS are all accepted rules.
2. SSA can give two different triangles.
Q3. In the RHS congruence rule, H stands for ______. [1 mark]
(a) Hand
(b) Height
(c) Hypotenuse
(d) None of these
View Answer & Explanation
Answer: (c) Hypotenuse. RHS means Right angle, Hypotenuse, Side.
Teacher's Note:
1. The rule applies only to right-angled triangles.
2. H refers to their longest side.
Q4. The two other angles of a right-angled triangle can be ______. [1 mark]
(a) 75°, 15°
(b) 60°, 30°
(c) 45°, 45°
(d) All of these
View Answer & Explanation
Answer: (d) all of these. In each pair the sum is 90°: 75° + 15°, 60° + 30° and 45° + 45°.
Teacher's Note:
1. The angle sum of a triangle is 180°, so the two acute angles total 90°.
2. Add each pair to check.
Q5. The number of lines that can be drawn parallel to a given line through a point outside it is ______. [1 mark]
(a) 0
(b) 1
(c) 2
(d) Infinite
View Answer & Explanation
Answer: (b) 1. Exactly one parallel line passes through such a point.
Teacher's Note:
1. Think of the point as fixed and the given line as fixed.
2. Only one direction keeps the distance constant.
Q6. Two geometrical figures are said to be ______ if they have exactly the same shape and size. [1 mark]
View Answer & Explanation
Answer: congruent.
Teacher's Note:
1. Congruent figures match completely when placed on top of each other.
2. Their corresponding parts are equal.
Q7. The relation between two objects that are congruent is called ______. [1 mark]
View Answer & Explanation
Answer: congruence.
Teacher's Note:
1. The noun form of 'congruent' is 'congruence'.
2. It is written with the symbol ≅.
Q8. The sum of the lengths of any two sides of a triangle is always ______ than the length of the third side. [1 mark]
View Answer & Explanation
Answer: greater. This is the triangle inequality.
Teacher's Note:
1. This property decides whether three lengths can form a triangle.
2. Test it for all three pairs of sides.
Q9. A right-angled triangle can be constructed if its ______ and any one other side are given. [1 mark]
View Answer & Explanation
Answer: hypotenuse.
Teacher's Note:
1. This follows from the RHS rule.
2. The right angle is already known.
Q10. The sum of the angles of a triangle is ______ right angles. [1 mark]
View Answer & Explanation
Answer: 2 right angles, that is 180°.
Teacher's Note:
1. One right angle is 90°.
2. Two of them make 180°.
Q11. AB is a line segment of length 9.8 cm. Its perpendicular bisector cuts it into two equal parts. Find the length of each part. [1 mark]
View Answer & Explanation
Answer: Each part = 9.8 ÷ 2 = 4.9 cm.
Teacher's Note:
1. A bisector divides a segment into two equal halves.
2. Divide the whole length by 2.
Q12. Describe how to draw an angle of 40° using a protractor. [1 mark]
View Answer & Explanation
Answer: 1. Draw a ray OA.
2. Place the centre of the protractor on O with its baseline along OA.
3. Mark a point B at 40° on the scale (starting from 0 on OA).
4. Join OB; ∠AOB = 40°.
Teacher's Note:
1. Always read the scale that starts from zero on your ray.
2. Use a sharp pencil to mark the point.
Q13. Triangles ABC and PQR satisfy ∠A = ∠P = 30° and ∠C = ∠R = 60°. What additional information is needed to prove ∆ABC ≅ ∆PQR by the ASA rule? [1 mark]
View Answer & Explanation
Answer: The side included between the two given angles must be equal, that is AC = PR.
Teacher's Note:
1. In ASA the equal side lies between the two equal angles.
2. Here both angles are at A and C, so the side is AC.
Q14. In ∆ABC and ∆DEF, AB = DE, BC = EF and ∠B = ∠E. Which rule proves ∆ABC ≅ ∆DEF? [1 mark]
View Answer & Explanation
Answer: SAS. Two sides and the angle between them are equal.
Teacher's Note:
1. The angle B lies between sides AB and BC.
2. This matches the SAS condition.
Q15. Two angles of a triangle are 50° and 60°. Find the third angle. [1 mark]
View Answer & Explanation
Answer: Third angle = 180° − (50° + 60°) = 180° − 110° = 70°.
Teacher's Note:
1. Use the angle sum property.
2. Subtract the known angles from 180°.
Q16. Can a triangle have sides 3 cm, 4 cm and 8 cm? Give a reason. [1 mark]
View Answer & Explanation
Answer: No. 3 + 4 = 7, which is less than 8, so the triangle inequality fails.
Teacher's Note:
1. Add the two shorter sides.
2. They must be greater than the longest side.
Q17. In ∆ABC, AB = AC and ∠B = 50°. Find ∠A. [1 mark]
View Answer & Explanation
Answer: Since AB = AC, ∠C = ∠B = 50°. So ∠A = 180° − 100° = 80°.
Teacher's Note:
1. Angles opposite equal sides are equal.
2. Then apply the angle sum property.
Q18. Two triangles have sides 3 cm, 4 cm, 5 cm each. Are they congruent? Name the rule. [1 mark]
View Answer & Explanation
Answer: Yes, by the SSS rule, since all three sides of one equal the corresponding sides of the other.
Teacher's Note:
1. Matching all three sides is enough for congruence.
2. No angle needs to be checked.
Free study material for Mathematics
Free CBSE Practice Worksheets: Class 7 Mathematics All Chapters
Download Chapter Worksheets: Class 7 Mathematics
Access structured practice worksheets for All Chapters aligned with the 2026 CBSE curriculum. These downloadable exercises for Class 7 Mathematics help students build accuracy and reinforce core concepts for upcoming school tests.
Concept Clarification for All Chapters
Each worksheet draws directly from authorized standard textbooks to maintain academic accuracy. Evaluating your finished exercises against expert-verified solutions helps master the formal presentation standards expected in school evaluations.
Effective Revision Strategies for School Exams
Consistent engagement with these exercises builds familiarity with recurring exam themes. If specific areas within All Chapters cause trouble, utilize our dedicated NCERT solutions for Class 7 Mathematics to clear up doubts immediately.
FAQs
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For All Chapters, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.