Ncert solutions mathematics class 6 Solutions for Chapter 4 basic geometrical ideas

Q5. 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.

Use the figure to name:

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

Q1) Use the figure to name :

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

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

Q2) Name the line given in all possible (twelve) ways, choosing only two letters at a

time from the four given.

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.

Q3) 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.

How many lines can pass through (a) one given point? (b) two given points?

Q4:

How many lines can pass through (a) one given point? (b) two given points?

Q5) Draw a rough figure and label suitably in each of the following cases:

(a) Point P lies on .

\overline{AB}

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

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

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

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

(a) Point P lies on AB

(b)\widehat{X Y}and \widehat{P Q}intersect at M.

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

(d)\overleftarrow{O P} \operatorname{and} \widehat{O Q}meet at O.

Q6) 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 MN.

(b) M, O, N are points on a line segment MN .

(c) M and N are end points of line segment MN .

(d) O and N are end points of line segment OP .

(e) M is one of the end points of line segment QO .

(f) M is point on ray OP.

(g) Ray OP is different from ray QP

(h) Ray OP is same as ray OM.

(i) Ray OM is not opposite to ray OP

(j) O is not an initial point of OP

(k) N is the initial point of NP and NM.

Consider the following figure of line \widehat{M N} 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 \widehat{M N}

(b) M, O, N are points on a line segment MN

(c) M and N are end points of line segment\overline{M N}

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

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

(f) M is point on ray\overrightarrow{O P}

(g) Ray\overrightarrow{O P} is different from ray \overrightarrow{Q P}

(h) Ray\overrightarrow{O P} is same as ray \overrightarrow{O M}

(i) Ray \overrightarrow{O M} is not opposite to ray\overrightarrow{O P}

(j) O is not an initial point of \overrightarrow{O P}

(k) N is the initial point of\overrightarrow{N P} \text { and } \overrightarrow{N M}

Q1) Classify the following curves as (i) Open or (ii) Closed.

Draw rough diagrams to illustrate the following:

(a) Open curve

(b) Closed curve

Q2) Draw rough diagrams to illustrate the following :

(a) Open curve (b) Closed curve.

Draw any polygon and shade its interior.

Q3) Draw any polygon and shade its interior.

Consider the given figure and answer the questions:

(a) Is it a curve?

(b) Is it closed?

Q4) Consider the given figure and answer the questions :

(a) Is it a curve? (b) Is it closed?

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.

Q1: Name the angle given figure.

Name the angles in the given figure.

Q2.

In the given diagram, name the point(s)

(a) In the interior of ∠DOE

(b) In the exterior of ∠EOF

(c) On ∠EOF

In the given diagram, name the points(s)

(a) In the interior of ∠DOE

(b) In the exterior of ∠EOF

(c) On ∠EOF

Draw rough diagrams of two angles such that they have

(a) One point in common

(b) Two points in common

(c) Three points in common

(d) Four points in common

(e) One ray in common

Q1) 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?

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?

Q2) (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 ∠B as common?

(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 ∠B as common?

Q1) 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?

Q2) 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.

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.

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

Q1) 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

Q2) (a) Is every diameter of a circle also a chord?

(b) Is every chord of a circle also a diameter?

a) Is every diameter of a circle also a chord?

(b) Is every chord of a circle also a diameter?

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

Q3) 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

Q4) Say true or false :

(a) Two diameters of a circle will necessarily intersect.

(b) The centre of a circle is always in its interior.

Say true or false:

(a) Two diameters of a circle will necessarily intersect.

(b) The centre of a circle is always in its interior.