Bài giảng Unit 10: Midpoint of a line segment43524

On the ray Ox, draw two line segments OM and ON so that OM=3cm, ON=6cm.. The point M of line segment AB is the point which is located between A, B and has the equal distance from A, B..

UNIT 10

MIDPOINT

OF A LINE SEGMENT

1

Teacher: DO THI DOAN HIEN

Class: 6A1

11/01/2016

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On the ray Ox, draw two line segments OM and ON

so that OM=3cm, ON=6cm compute the length of MN?

Compare OM and MN

REVIEW

QUESTION

O٠ 3cm M٠ ٠N x

6cm

On the ray Ox, we have OM < ON (3cm<6cm) so that point M is between two points O and N

So we have: OM + MN = ON

3 + MN = 6

=> MN = 6 – 3

=> MN = 3(cm)

So : MN =3 cm

0

OM = MN

Point M divides line segment ON into 2 congruent parts

On the ray Ox,

draw two line

segments OM

and ON so that

OM=3cm,

ON=6cm

Calculate the

length of MN?

Compare OM

and MN

Mr M, what’s your name?

OM = 3cm

MN =3cm

SOLUTION

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The point M of line segment AB is the point which is located

between A, B and has the equal distance from A, B

A midpoint divides a line segment into two congruent

segments

Note: The midpoint of line segment AB is also known as

UNIT 10 MIDPOINT OF A LINE SEGMENT

1 DEFINITION

Point M is midpoint of line segment AB

5

M is midpoint of

line segment AB

B

M

oM is between A, B

oM is equidistant from A, B (MA = MB)

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A M B

Fig 2

M

Fig 3

B

M A

Fig 1

A

B

M

Fig 4

M is not

between

A, B

M is

between

but not equidistant

from A, B

M is

equidistant

from but not between A, B

M is

between

and

equidistant

from A, B

M is not midpoint

of line segment AB

SEGMENT AB OR NOT, AND WHY?

M is not

midpoint

of line

segment

AB

M is not midpoint

of line segment AB

M is midpoint

of line segment AB

2 HOW TO DRAW THE MIDPOINT

OF A LINE SEGMENT?

i) Using straight ruler with measurements

For example:

7

Draw midpoint K of segment MN=5cm

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2 HOW TO DRAW THE MIDPOINT

OF A LINE SEGMENT?

ii) Folding paper: Make a midpoint on paper sheet, fold it so that 2 sides overlap to

define a midpoint

A B

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B

B

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A B

B

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B

B

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B

B

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B

B

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B