Class 6 Maths
Basic Geometrical Ideas
Ex. 4.1 Q.1
Use the figure to name:
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
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Ex. 4.1 Q.2
Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
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Ex. 4.1 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
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Ex. 4.1 Q.4
How many lines can pass though:
(a) one given point? (b) two given points
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Ex. 4.1 Q.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 contains E and F but not D. (d) OP and OQ meet at O.
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Ex. 4.1 Q.6
Consider the following figure of line MN. Say whether 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) 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 same as ray OM.
(i) Ray OM is not opposite to ray OP.
(j) O is not an initial point of OP.
(k)O is not an initial point of NM and NP.
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Ex. 4.2 Q.1
Classify the following curves as (i) Open or (ii) Closed.
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Ex. 4.2 Q.2
Draw rough diagrams to illustrate the following:
(a) Open curve
(b) Closed curve
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Ex. 4.2 Q.3
Draw any polygon and shade its interior.
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Ex. 4.2 Q.4
Consider the given figure and answer the questions:
(a) Is it a curve?
(b) Is it closed?
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Ex. 4.2 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.
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Ex. 4.3 Q.1
Name the angles in the given figure.
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Ex. 4.3 Q.2
In the given diagram, name the point(s):
(a) In the interior of ∠DOE.
(b) In the exterior of ∠EOF.
(c) On ∠EOF.
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Ex. 4.3 Q.3
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.
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