1 / 7

The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة

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.

maj
Download Presentation

The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة

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. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة

  2. The Midpoint Formula B ( x2 , y2 ) • M A ( x1 , y1 )

  3. • 2 -2 4 -4 ( -1 , 1 ) 2 -2 -1 , 1

  4. 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

  5. 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

  6. 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

  7. 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

More Related