ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3

Question 1.
Draw rough diagrams to illustrate the following:
(i) open simple curve
(ii) closed simple curve
(iii) open curve that is not simple
(iv) closed curve that is not simple.
Solution:
(i) open simple curve
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 1
(ii) closed simple curve
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 2
(iii) open curve that is not simple
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 3
(iv) closed curve that is not simple
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 4

Question 2.
Consider the given figure and answer the following questions:
(i) Is it a curve?
(ii) Is it a closed curve?
(iii) Is it a polygon?
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 5
Solution:
(i) Yes, it is a curve.
(ii) Yes, it is a closed curve.
(iii) Yes, it is a polygon.

Question 3.
Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?
Solution:
The point A is neither in the exterior nor in the interior of triangle ABC. It is on the triangle ABC.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 6

Question 4.
Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them.
Solution:
The meeting point O of the diagonals PR and QS of the quadrilateral PQRS is in the interior of the quadrilateral PQRS.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 7

Question 5.
In context of the given figure:
(i) Is it a simple closed curve?
(ii) Is it a quadrilateral?
(iii) Draw its diagonals and name them.
(iv) State which diagonal lies in the interior and which diagonal lies in the exterior of the quadrilateral.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 8
Solution:
(i) Yes
(ii) Yes.
(iii) Its diagonals are \(\overline{\mathrm{AC}}\) and \(\overline{\mathrm{BD}}\).
(iv) Diagonal \(\overline{\mathrm{AC}}\) is in the interior and diagonal \(\overline{\mathrm{BD}}\) is in the exterior of quadrilateral ABCD.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 9

Question 6.
Draw a rough sketch of a quadrilateral KLMN. State,
(i) two pairs of opposite sides
(ii) two pairs of opposite angles
(iii) two pairs of adjacent sides
(iv) two pairs of adjacent angles.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 10 Basic Geometrical Concept Ex 10.3 10
Solution:
(i) \(\overline{\mathrm{KL}}, \overline{\mathrm{NM}} \text { and } \overline{\mathrm{KN}}, \overline{\mathrm{ML}}\)
(ii) ∠K, ∠M and ∠N, ∠L
(iii) \(\overline{\mathrm{KL}}, \overline{\mathrm{KN}} \text { and } \overline{\mathrm{MM}}, \overline{\mathrm{ML}} \text { or } \overline{\mathrm{KL}}, \overline{\mathrm{LM}}\) and \(\overline{\mathrm{NM}}, \overline{\mathrm{ML}}\)
(iv) \(\angle \mathrm{K}, \angle \mathrm{L} \text { and } \angle \mathrm{M}, \angle \mathrm{N} \text { or } \angle \mathrm{K}, \angle \mathrm{L} \text { and } \angle \mathrm{L}\), \(\angle \mathrm{M}\) etc.

ML Aggarwal Class 6 Solutions for ICSE Maths

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