Class 10 Maths Chapter 11 PDF: Constructions forms a critical part of the Class 10 Maths syllabus. We provide you, Free of Cost, easily downloadable Handwritten Notes in a PDF Format for offline study, and a well‑organized approach to mastering geometry concepts. These detailed notes in English are presented in a streamlined format across 7 pages; a compact size of just ~1.2 MB. In this article, you will find detailed insights about Chapter 11: Constructions. Furthermore, we explore the features of these notes, provide a preview, share important topics, previously asked questions, exam‑relevant questions, one‑liners with answers, FAQs, and tables to help you excel in your exam preparation.
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Features of Chapter 11: Constructions Class 10 Handwritten Notes
| Subject : | Mathematics |
| Class: | 10th |
| Chapter: 11 | Constructions (Class 10 Maths Chapter 11 PDF) |
| Size: | 1.2 MB |
| Pages: | 7 |
| Language: | English |
| Format: | PDF (click the download button in the section below |
Preview and Download Link of Class 10 Maths Chapter 11 PDF
Images of Chapter 11: Constructions (Class 10 Maths)
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Suggested Study Materials – AMAZON
| AMAZON Study Materials | Product Links |
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| Educart PRAYAS CBSE Class 10 Chapterwise Most Important Qs (& PYQs) – Maths, Science, SST and English for 2026 Boards | Click Here |
| Pearson IIT Foundation’ 25 Mathematics Class 10 | For JEE, NTSE & Olympiad Exams |As per CBSE, ICSE & State Curriculums | Includes JEE Practice Questions | Free acess to 20 Online Assessments, 86 Video Solutions & Interactive Tests via Pearson MyInsights & elibrary | 13th edition | Click Here |
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How to Prepare for Chapter 11: Constructions
- Start with Tools & Techniques
- Understand the use of compass, ruler, protractor
- Practice drawing perpendiculars and bisectors
- Follow the Step‑by‑Step Guides in Notes
- Copy constructions live; don’t just read
- Check your diagrams match those in the notes
- Try on Scratch Paper
- Reproduce each construction two or three times
- Tackle all exercise problems in NCERT
- Analyze Mistakes
- Where does a line not meet as expected?
- Repeat that step until it aligns perfectly
- Use One‑liners to Recall Formulas & Theorems
- E.g., “Perpendicular bisector always passes through the triangle’s circumcenter.”
- Practice Previously Asked Questions
- Include your own diagrams labelled clearly
- Take Timed Quizzes
- Set a timer to simulate exam pressure
- Revise Regularly
- Keep the one‑liner table handy for weekly drills
Important Formulas & Theorems from Chapter 11: Constructions
| Concept | Formula / Theorem |
|---|---|
| Perpendicular bisector of AB | Passes through the midpoint; ⟂ to AB |
| Angle bisector of ∠A in triangle ABC | Locus of points equidistant from AB and AC |
| Triangle by SSS | Construct three circles at A, B, C, their intersection → other vertex |
| Triangle by SAS | Construct base → arcs from endpoints → intersection → third vertex |
| Right angle at B (Hypotenuse known) | Draw circle on AC; from C draw ⟂, etc. |
| Circle tangents from external point | Use right‑angle triangle method → radius to tangent is ⟂ to tangent |
🧠 Previously Asked Questions (Solved)
- Q: Construct a triangle with sides 5 cm, 6 cm, 7 cm.
A: Use SSS method: draw 5 cm, arcs of radius 6 & 7, connect intersection. - Q: Draw the perpendicular from a point on the line AB.
A: With center at given point, draw arcs intersecting AB; connect their intersections. - Q: Construct right triangle by hypotenuse = 10 cm, other side = 6 cm.
A: Use circle with diameter 10, chord of length 6, drop perpendicular — solves.
(Add diagrams & step‑by‑steps in your notes)
🎯 Questions That May Come in Exams
- Construct a triangle given base and base‑angles (ASA method).
- Draw the altitude from the right‑angle vertex in a right triangle using a circle.
- Bisect a given angle of 60° using classic geometric technique.
- Construct a triangle when two sides and the median from one vertex are given.
Add variety: show CAS, error analysis questions, compare SAS vs ASA.
✍️ One-Liners with Answers
- “Perpendicular bisector → points equidistant from ends.”
- “Angle bisector → divides angle into equal halves.”
- “Circumcenter is intersection of perpendicular bisectors.”
- “In right triangle, circumcenter lies at midpoint of hypotenuse.”
- “Alternate interior angles equal when a transversal crosses parallel lines.”
(Use these for quick MCQ revision or flashcards)
🙋 Frequently Asked Questions (FAQs) – Class 10 Maths Chapter 11 PDF
A: Typically 7–8 NCERT recommended constructions: SSS, SAS, ASA, right triangle, perpendiculars and bisectors.
A personal touch boosts memory retention, similar to class notes.
Yes! The PDF is formatted for A4, light grey lines for margin notes.
Absolutely — the geometry fundamentals here recur in Olympiads and board‑level tasks.
Yes – all constructions follow standard Euclidean rules.
📊 Useful Tables (for Revision)
- Locus Summary Table
| Type | Construction Approach |
|---|---|
| ⟂ Bisector of AB | Arcs on AB, join intersections |
| Angle bisector | Arcs from vertex and intersections to point |
| Triangle by SSS | Draw base, arcs at endpoints, complete triangle |
| Triangle by SAS | Base → arcs → connect to form third vertex instead |
- Properties at a Glance
- All angle bisectors meet at incenter (center of inscribed circle).
- All perpendicular bisectors meet at circumcenter.
- All medians meet at centroid.
- Common Mistake Checklist
- Check compass width remains constant
- Ensure arcs intersect in correct half-plane
- Label final diagram with proper notation (∠A, B, C).
✅ Exam‑Day Tips
- Draw lightly first, then darken once accurate
- Label everything — you get marks for notation
- Show compass/arc tick marks — clarity aids graders
- Use ruler carefully — no jagged lines
- Write small story‑style steps: “Step 3: Draw arc with center A…”
- Time yourself — aim to complete one construction in 3–4 minutes
- Revise one‑liners before paper — memory joggers matter
🧾 Summary
In summary, these free handwritten PDF notes for Chapter 11: Constructions give you:
- Step‑by‑step explanations of all key constructions
- Clear, labelled diagrams
- Practice questions from past exams
- Handy one‑liners, tables, and FAQs
➡️ Download your copy now and begin mastering constructions with clarity, confidence, and convenience. Print it, practice it, and do your best in the next test!
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