penny3109
10.11.2021 •
Mathematics
Help i need it anywayss 48points
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Ответ:
The required points of the given line segment are ( - 3, - 7 ).
Step-by-step explanation:
Given that the line segment CD whose midpoint M is ( 1, - 1 ) and point D is ( 5, 5 ), then we have to find point C of the line segment CD-
As we know that-
If a line segment AB is with endpoints ( ) and ( then the mid points C are-
C = ( , )
Here,
Let C ( x, y ), D ( 5, 5 ) with midpoint M ( 1, -1 )-
then by the midpoint formula-
( 1, -1 ) = ( ,
On comparing x coordinate and y coordinate -
We get,
( = 1 , = -1 )
( x + 5 = 2, y + 5 = - 2 )
( x = 2 - 5, y = -2 - 5 )
( x = - 3, y = -7 )
Hence the required points C are (- 3, - 7 ).
We can also verify by putting these points into Midpoint formula.