NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(a) Five points \(\rightarrow \) B, C, O, E and D.

(b) A line \(\rightarrow \) \(\overleftrightarrow \)BD

(c) Four rays \(\rightarrow \) \(\overrightarrow {OC}, \overrightarrow {OB}, \overrightarrow {OD}, \overrightarrow {OE} \)

(d) Five line segments \(\rightarrrow \) \(\overline {OD}, \overline {OE}, \overline {OC}, \overline {OB}, \overline {BC} \)

Q.2. Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

\(\overleftrightarrow {AB} \) , \(\overleftrightarrow {AC} \) \(\overleftrightarrow {AD} \) ,\(\overleftrightarrow {BC} \) , \(\overleftrightarrow {BD} \) ,\(\overleftrightarrow {CD} \) , \(\overleftrightarrow {BA} \) ,\(\overleftrightarrow {CA} \) , \(\overleftrightarrow {DA} \) ,\(\overleftrightarrow {CB} \) , \(\overleftrightarrow {DB} \) ,\(\overleftrightarrow {DC} \) ,

Q.3 Use the figure to name:

(a) Line containing point E.

(b) Line passing through A.

(c) Line on which O lies

(d) Two pairs of intersecting lines.

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(a) \(\overleftrightarrow {AE} \)

(b) \(\overleftrigharrow {AE} \)

(c) \(\overleftrigharrow {OC} \)

(d) \(\overleftrigharrow {AE} , \overleftrigharrow {OC} and
\(\overleftrigharrow {AE}, \(\overleftrigharrow {EF}

Q.5 Draw a rough figure and label suitably in each of the following cases:

(a) Point P lies on \(\overline {AB}\) .

(b) \(\overleftrightarrow {XY} \) and \(\overleftrightarrow {PQ} \) intersect at M.

(c) Line L contains E and F but not D.

(d) \(\overleftrightarrow {OP} \) and \(\overleftrightarrow {OQ} \) meet at O.

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(d)

Q.6 Consider the following figure of line MN. Say whether following statements are true or false in context of the given figure.

(a) Q, M, O, N, P are points on the line \(\overleftrightline {MN} \) .

(b) M, O, N are points on a line segment \(\overline {MN} \).

(c) M and N are end points of line segment \(\overtime {MN} \).

(d) O and N are end points of line segment \(\overline {OP} \) .

(e) M is one of the end points of line segment \(\overline {QO} \).

(f) M is point on ray \(\overrightarrow {OP} \).

(g) Ray\(\overleftrightarrow {OP} \) is different from ray \(\overrightarrow {QP} \).

(h) Ray \(\overleftrightarrow {OP} \) is same as ray \(\overrightarrow {OM} \) .

(i) Ray \(\overrightarrow {OM} is not opposite to ray \(\overleftrightarrow {OP} \).

(j) O is not an initial point of \(\overleftrightarrow {OP} \).

(k) N is the initial point of \(\overrightarrow {NP} \) and \(\overrightarrow {NM}

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False

(k) True

Q.5 Illustrate, if possible, each one of the following with a rough diagram:

(a) A closed curve that is not a polygon.

(b) An open curve made up entirely of line segments.

(c) A polygon with two sides.

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(b) No its not possible

Q.2 (a) Identify three triangles in the figure.

(b) Write the names of seven angles.

(c) Write the names of six line segments

(d) Which two triangles have \(\angle \)B as common?

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(a) The three triangles are \(\triangle \)ABD, \(\triangle \) ABC, \(\triangle \)ADC

(b) The angles are \(\angle BAC, \angle BAD, \angle CAD, \)

\(\angle ADB, \angle ADC, \angle ABC, \angle ACB \)

(c) The line segments are AB, BC, CA , AD, BD and DC

(d) \(\angle \)ABD and \(\angle \)ABC are triangles which have \(\angle \)B as common.

Q.1 Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

PR and QS are the diagonals. They meet at point O which is in the interior of the quadrilateral.

Q.2 Draw a rough sketch of a quadrilateral KLMN. State,

(a) two pairs of opposite sides,

(b) two pairs of opposite angles,

(c) two pairs of adjacent sides,

(d) two pairs of adjacent angles.

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(a) Two pairs of opposite sides are KL, NM and KN , LM

(b) Two pairs of opposite angles are \(\angle \)KLM, \(\angle \)KNM and \(\angle \)LKN, \(\angle \)LMN

(c) Two pairs of adjacent sides are KL, LM and KN, NM

(d) (d) Two pairs of adjacent angles are \(\angle \)K, \(\angle \)L and \(\angle \)M, \(\angle \)N or \(\angle \)K, \(\angle \)L and \(\angle \)L, \(\angle \)M

Q.3 Draw any circle and mark

(a) its centre

(b) a radius

(c) a diameter

(d) a sector

(e) a segment

(f) a point in its interior

(g) a point in its exterior

(h) an arc

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(a) The centre of the circle is O.

(b) The radius is OC

(c) A diameter is AB

(d) A sector is AOC

(e) A segment is PQ

(f) A point in its interior is F

(g) A point in its exterior is E

(h) An arc is PQ

Q.1 From the figure, identify:

(a) the centre of circle

(b) three radii

(c) a diameter

(d) a chord

(e) two points in the interior

(f) a point in the exterior

(g) a sector

(h) a segment

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

Answer :

(a) The centre of circle is O

(b) Three radii are OA, OB, OC

(c) A diameter is AC

(d) A chord is ED

(e) Two points in the interior are O and P

(f) A point in the exterior is Q

(g) A sector is AOB i.e shaded region

(h) A segment is ED i.e shaded region

There are total 22 questions present in ncert solutions for class 6 maths chapter 4 basic geometrical ideas

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There are total 6 exercise present in ncert solutions for class 6 maths chapter 4 basic geometrical ideas