SCERT Assam Class 6 Mathematics Chapter 3 – “Basic Geometrical Ideas” Summary & Solutions
SCERT Assam Class 6 Mathematics (English Medium) Chapter 3 – “Basic Geometrical Ideas” solutions are available at Ospin Academy. We provide SCERT-based textbook solutions, multiple-choice questions (MCQs), and a complete chapter summary to help students in their exam preparation.
📖 Chapter Overview:
This chapter introduces the fundamental concepts of **geometry**, including points, lines, angles, curves, and different types of shapes.
- Understanding Points and Lines: Types of lines (parallel, perpendicular, intersecting).
- Angles and Curves: Open and closed curves, types of angles.
- Basic Shapes: Triangles, quadrilaterals, circles, and their properties.
📌 Exercises Covered in Lesson 3:
- Exercise 3A: Identifying different types of lines, angles, and shapes.
- Exercise 3B: Measuring and drawing angles using a protractor.
- Exercise 3C: Practical applications of geometry in real-life scenarios.
📝 Ospin Academy Resources:
- Complete Solutions: SCERT Assam Class 6 Mathematics Chapter 3 answers.
- MCQs & Additional Questions: Exam-focused multiple-choice questions.
- Clear Explanations: Concepts explained in simple terms.
- Quick Revision Notes: Concise notes for last-minute preparation.
For SCERT Assam Class 6 Mathematics (English Medium) Chapter 3 – “Basic Geometrical Ideas” solutions, visit Ospin Academy.
Class 6 Maths (English Medium) PDF Solutions 2025-26 | SCERT Assam
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Class 6 Mathematics
Chapter – 3
Basic Geometrical Ideas
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Do it yourself |
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1. (ii) Join each pair of points given below and draw the line segments. Name the line segments.
Ans:
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Do it yourself |
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(i) Find out the intersecting lines and parallel lines formed by extending the line segment infinitely from the end points of the line segments forming the letter H.
Ans:
(ii) From the following diagram, form a pair of two lines following. Now make a list of parallel lines and intersecting lines. Also mention the point of intersection from the intersecting lines.
Ans: Pair of parallel lines are: l1 ∥ l2 ∥ l3 ∥ L4
Point of intersection: l1 : L , l2 : E,H,K , l3: A, D, G, l4 : B, C
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Exercise 3 (A) |
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1. Find the points, line segments, lines and rays from the adjacent figure.
Ans: Points: A, B, C, D, E, O
Line Segments: AB, CD, CE, ED, CO, DO
Lines: Line passing through A and O, Line passing through B and O, Line passing through C and E
Rays: Ray AO, Ray OB, Ray CE
2. From the figure-I
(i) Find out the lines passing through a single point.
Ans: The lines passing through a single point are m,l; n, I; m, p; I, p.
(ii) Find out the collinear point.
Ans: The collinear points are A, B, C; A, X, Y; B, X and C, Y.
3. Answer the following-
(i) How many lines can be drawn through a single point?
Ans: Infinitely lines can be drawn through a single point.
(ii) How many lines can be drawn through two distinct points?
Ans: Only one unique lines can be drawn through two distinct points.
4. From the Figure- II.
(i) Name any five line segments.
Ans:
(ii) Name any two rays.
Ans:
Ans:
Ans:
Ans:
5. Put (√) for the correct answer and (x) for the wrong one.
(i) There are two end points in a line.
Ans: √
(ii) Each ray is a part of a line.
Ans: √
(iii) A ray has only one end point.
Ans: √
(iv) Line segment has a definite length.
Ans: √
(v) A line segment has no end points.
Ans: x
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Exercise 3 (B) |
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1. Some curves are given below. Separate the open and closed curves from these curves. Aslo colour the interior parts of the closed curves.
Ans: Closed figures are (ii), (vii) and (iii)
2. (i) Draw the diagonals of the polygons.
Ans:
(ii) Count the number of diagonals.
Ans: Number of diagonals – 5
3. Divide ‘simple figure’ and ‘not simple figure’ from the following diagram.
Ans: Simple figure: L, M, N, O, , S, U, V
Not simple figure: K, P Q, R,S, T
4. From the adjacent closed curve.
(i) Mention the interior points.
Ans: The interior points are A,C, E, H.
(ii) Mention the exterior points.
Ans: The interior points are B, F, L.
(iii) Mention the points on the curve itself.
Ans: The interior points are D, G, K.
5 . For the two polygons in figure (i) and (ii) of the following.
(a) (i) Name the vertices.
(ii) Name their sides.
(iii) Name the diagonals.
(b) How many diagonals are there in Fig (i)
(c) How many diagonals are there in Fig (ii)
Ans:
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Exercise – 3 (C) |
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1. From the figure name the angles ∠1, ∠2, ∠3, ∠4, ∠5 and ∠6.
(For example ∠1 = ∠BDE)
Ans: ∠1 = ∠BDE
∠2 = ∠EDF
∠3 = ∠DAB
∠4 = ∠DFE
∠5 = ∠DBF
∠6 = ∠DCF
2. From the figure on the left hand side.
(i) Name two sides of ∠BOC.
Ans:
(ii) Name the interior point of ∠AOB.
Ans: The interior point of ∠AOB is D.
(iii) Name the exterior point of ∠BOC.
Ans: The interior point of ∠BOC is F.
3. In the triangle LMN
(i) Name the sides.
Ans: LM, MN, LN.
(ii) Name the angles.
Ans: ∠LMN, ∠MNL, ∠NLM.
(iii) Name two sides forming angle ∠M.
Ans: LM and MN.
(iv) Name the angle formed by the sides LM and NL.
Ans: ∠MLN.
4. From the adjacent-
(i) Name 3 triangles.
Ans: ∆PQS, ∆PRS, ∆PQR.
(ii) Name six line segments.
Ans:
(iii) Which two triangles have PR as the common side?
Ans: ∆PQR, ∆PRS
(iv) Which two triangles have Q as the common angle?
Ans: ∆PQR, ∆PQS
5. Draw a circle with centre O. Draw a ra-dius, a chord and a diameter of that circle and name them.
Ans: A circle is drawn with center ‘O’. AO is a radius. DF is a chord and AB is a diameter.
6. From the adjacent figure, name the mi-nor arc and major arc of the circle.
Ans:
7. Mark the minor sector formed by the arc AB of the circle and name it.
Ans: The minor sector formed by the arc AB is OAPB
8. Mark the major segment of the circle formed by the arc XY and name it.
Ans: The major segment of the circle formed by the arc XY is XYZ.
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