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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.

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The Midpoint Formula قانون إحداثي منتصف قطعة مستقيمة

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  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

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