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HARSHALI.S.VINERKAR Roll No: 66 Sub: Mathematics Std: 6th Topic : POINT, LINE, PLANE

Harshali maths

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Page 1: Harshali maths

HARSHALI.S.VINERKARRoll No: 66

Sub: MathematicsStd: 6th

Topic : POINT, LINE, PLANE

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The pupil states the definition of line and segment.The pupil identifies RAY, LINE, SEGMENT. The pupil classifies collinear and non collinear points.The pupil defines in his own words:

parallel linesintersecting linesconcurrent lines

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• The pupil illustrates his own examples of parallel lines. • The pupil illustrates his own

examples of intersecting lines.• The pupil classifies collinear and

non collinear points.• The pupil draws concurrent lines.

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POINTS• We can draw innumerable

lines passing through a single point.

• One and only one line passes through any two given points.

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POINTS When one and only one line can

be drawn passing through three or more points, the points are said to be “COLLINEAR POINTS”

When a single line cannot be drawn through three points, the points are said

to be “NON COLLINEAR POINTS”

A B C

vv

X Z

Y

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Evaluation

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True or false1) Points X, Y, Z are

collinear points.a)TRUEb)FALSE

2) Points A, X, Y are collinear points

a)TRUEb)FALSE

X Y Z

A B C

P Q R

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EXCELLENTEXCELLENT

KEEP GOING ON !!!KEEP GOING ON !!!

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OOOPS?????OOOPS?????

THINK AGAIN.THINK AGAIN.

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EXCELLENTEXCELLENT

KEEP GOING ON !!!KEEP GOING ON !!!

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PLANE• A PLANE is a flat surface

which extends in all directions without any limits.

• Lines in the same plane that do not intersect each other are called “PARALLEL LINES”

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• Line A and B meet in point O.

• Point O is called the point of intersection of line A and line B.

• Two intersecting lines have one and only one point of intersection.

A B

O

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Line M, line N and line A intersect each other at point O.

Thus, three lines intersect each other in one common point.

Their point of intersection point O is called the POINT OF CONCURRENCE.

Three or more than three lines intersecting in a single point are called CONCURRENT LINES.

M N

AO

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Evaluation

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1) Line AB and line PQ are __________________ lines.

a) Parallel-lines

b) Intersecting lines

2) Line WX and line XZ intersect at point __________________

a) Point D

b) Point B

W X

Y Z

A B

C D

A B

P Q

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EXCELLENTEXCELLENT

KEEP GOING KEEP GOING

ON !!!ON !!!

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OOOPS?????OOOPS?????THINK AGAIN.THINK AGAIN.

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EXCELLENTEXCELLENT KEEP GOING ON !!!KEEP GOING ON !!!

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1 ) Name the lines whose point of concurrence is point Q?

P Q

S R

Ans ) Line PQ, line QR, and line QS intersect at point.Thus, their point of concurrence is point Q.

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2) Which of the lines PQ, RS, PS and QS are concurrent?

P Q

S R

Ans) Line PS, line SR and line QS are concurrent lines.

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EXCELLENT !!!EXCELLENT !!!

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THANK YOU