Ex 4.1 Class 6 Maths Question 1.
Use the figure to name:
(a) Five points
(b) A-line
(c) Four rays
(d) Five line segments
Solution:
(a) Five points are: O, B, C, E, and D
(b) Name of the line is DB←→ or BD←→.
(c) Four rays are OC−→−, OB−→−, OE−→− and OD−→−
(d) Five line segments are:
OE¯¯¯¯¯¯¯¯, ED¯¯¯¯¯¯¯¯, OD¯¯¯¯¯¯¯¯, OB¯¯¯¯¯¯¯¯, and EB¯¯¯¯¯¯¯¯.
Ex 4.1 Class 6 Maths Question 2.
Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
Solution:
The given lines can be named as follows:
Ex 4.1 Class 6 Maths Question 3.
Use the figure to name:
(a) Line containing point E.
(b) Line passing through A.
(c) Line on which 0 lies.
(d) Two pairs of intersecting lines.
Solution:
(a) EF←→
(b) AE←→
(c) BC←→ or BO←→
(d) CO←→ or AE←→ or AE←→ or EF←→
Ex 4.1 Class 6 Maths Question 4.
How many lines can pass through
(a) one given point?
(b) two given points?
Solution:
(a) Infinitely many lines can pass through a given point.
(b) Only one line can pass through two given points.
Ex 4.1 Class 6 Maths Question 5.
Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on AB¯¯¯¯¯¯¯¯.
(b) XY←→ and PQ←→ intersect at M.
(c) Line L contains E and F but not D.
(d) OP←→ and OQ←→ meet at O.
Solution:
Ex 4.1 Class 6 Maths Question 6.
Consider the following figure of line MN. Say whether the following statements are true or false in the 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) Mand N are endpoints of line segment MN¯¯¯¯¯¯¯¯¯¯.
(d) O and N are endpoints of line segment OP¯¯¯¯¯¯¯¯.
(e) M is one of the endpoints of line segment QO¯¯¯¯¯¯¯¯.
(f) M is a point on ray OP−→−.
(g) Ray OP←→ is different from ray QP−→−.
(h) Ray OP←→ is the 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−→−.
Solution:
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True
NCERT SOLUTIONS FOR CLASS 6 MATHS CHAPTER 4 WHOLE NUMBERS EXERCISE 4.2
Ex 4.2 Class 6 Maths Question 1.
Classify the following curves as (i) open or (ii) closed.
Solution:
(a) Open curve
(b) Closed curve
(c) Open curve
(d) Closed curve
Ex 4.2 Class 6 Maths Question 2.
Draw rough diagrams to illustrate the following:
(a) Open curve
(b) Closed curve
Solution:
Ex 4.2 Class 6 Maths Question 3.
Draw any polygon and shade
Solution:
ABCD is the required polygon whose interior region is shaded.
Ex 4.2 Class 6 Maths Question 4.
Consider the given figure and answer the questions.
(a) Is it a curve?
(b) Is it closed?
Solution:
(a) Yes, it is a curve.
(b) Yes, it is closed curve.
Ex 4.2 Class 6 Maths Question 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.
Solution:
(a) Required closed curve is a circle.
(b) ABCD is an open curve made up of the line segments AB¯¯¯¯¯¯¯¯, BC¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ .
(c) A polygon with two sides is not possible.
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