Harshali maths

HARSHALI.S.VINERKARRoll No: 66

Sub: MathematicsStd: 6th

Topic : POINT, LINE, PLANE

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

• 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.

POINTS• We can draw innumerable

lines passing through a single point.

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

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

Evaluation

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

EXCELLENTEXCELLENT

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

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

THINK AGAIN.THINK AGAIN.

EXCELLENTEXCELLENT

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

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”

• 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

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

Evaluation

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

EXCELLENTEXCELLENT

KEEP GOING KEEP GOING

ON !!!ON !!!

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

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

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.

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.

EXCELLENT !!!EXCELLENT !!!

THANK YOU