The midpoint of CD is E (-1,0). one enepoint is C (5,2) what are the coordinates of the other endpoint?

Bo Walls

Bo Walls

Answered question

2022-11-27

The midpoint of CD is E (-1,0). one enepoint is C (5,2) what are the coordinates of the other endpoint?

Answer & Explanation

Kaiya Bird

Kaiya Bird

Beginner2022-11-28Added 7 answers

We need to find the D's position.
We know that E is the center point of CD.
E=(-1,0)
C=(5,2)
D=(x,y)
since it is midpoint
E = C + D 2
( 1 , 0 ) = 1 2 ( 5 , 2 ) + ( x , y )
= 1 2 ( 5 + x , y + 2 )
( 1 , 0 ) = ( 5 + x 2 , y + 2 2 )
1 = 5 + x 2
x=-7
y + 2 2 = 0
y=-2
(x,y)=(-7, -2)
Answer:
We have received the coordinates of D as
D=(-7, -2)

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