slide1 n.
Download
Skip this Video
Download Presentation
The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة

Loading in 2 Seconds...

play fullscreen
1 / 7

The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة - PowerPoint PPT Presentation


  • 401 Views
  • Uploaded on

The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة. The Midpoint Formula. B ( x 2 , y 2 ). •. M. A ( x 1 , y 1 ). •. 2. -2. 4. -4. ( -1 , 1 ). 2. -2. - 1 , 1. A ( - 4 , 4 ). A = ?. Note :. A = 2M – B. If one endpoint is given & M is given.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة' - maj


Download Now An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

The Midpoint Formula

قانون إحداثي منتصف قطعة مستقيمة

slide2

The Midpoint Formula

B ( x2 , y2 )

M

A ( x1 , y1 )

slide3

2

-2

4

-4

( -1 , 1 )

2

-2

-1 , 1

slide4

A ( - 4 , 4 )

A = ?

Note :

A = 2M – B

If one endpoint

is given & M is given

A = 2 ( -1 , 1 ) – ( 2 , -2 )

Then :

M

A = ( -2 , 2 ) – ( 2 , -2 )

A = ( -2 – 2 , 2 – - 2 )

A = 2M – B

B

∴ A = ( - 4 , 4 )

OR

B = 2M – A

M : the center of the circle

A , B can be the endpoints of a diameter of a circle

slide5

Note :

A

B = 2M – A

If one endpoint

is given & M is given

B = 2 ( -1 , 1 ) – ( - 4 , 4 )

Then :

M

B = ( -2 , 2 ) – ( - 4 , 4 )

B = ( -2 – - 4 , 2 – 4 )

A = 2M – B

∴ B = ( 2 , – 2 )

OR

B = ?

B( 2 , -2 )

B = 2M – A

M : the point of intersection of the two diagonals

A , B can be the endpoints of a diagonal of a parallelogram

slide6

Worksheet ( 1 )

Zayed althani school

The Distance Formula

The Midpoint Formula

Q 1

Math department

Find the coordinates of the center of the circle

أوجد إحداثيات مركز الدائرة

Mohamad badawi : hamadaa_math@yahoo.com

𝒚

A =

4

B =

( Apply the formula )

طبق القانون

M =

3

A

2

M

1

A =

𝒙

B =

B

-5

-4

-2

-3

-1

4

5

1

2

3

C =

( Apply the formula )

طبق القوانين

A

-1

Q 2

M =

-2

M is the midpoint of AC

A C =

Find M

M

-3

Prove that : AC = 2×BM

B M =

-4

C

B

slide7

Worksheet ( 2 )

Zayed althani school

The Midpoint Formula

Q 1

Math department

Draw the diagonals of the parallelogram in the figure

أارسم اقطار متوازي الأضلاع في الشكل

Mohamad badawi : hamadaa_math@yahoo.com

𝒚

Find the midpoint of AC =

4

D (-1 , 3)

C (6 , 3)

3

Find the midpoint of BD =

2

1

𝒙

Q 2

-5

-4

-2

-3

-1

4

5

1

2

3

Given M ( 1 , - 3 ) is the midpoint of XY

Where : X ( 4 , -2 ) find the coordinates of Y

-1

B(5 ,-1)

A (-2 ,-1)

-2

-3

Draw XY & locate M

ارسم هذه القطعة المستقيمة وبين نقطة المنتصف

-4