Question #78376

2 Answers
Jan 10, 2018

Coordinates of Y are color (red)(-4, 7)Yare4,7

Explanation:

Given X (4,5), M(0,6)X(4,5),M(0,6) and M is the midpoint of X & Y.

To find Y

M_x = (X_x + Y_x) / 2Mx=Xx+Yx2

Y_x = 2M_x - X_x = (2*0) - 4 = -4Yx=2MxXx=(20)4=4

Similarly,
Y_y = 2M_y - X_y = (2*6) - 5) = 7Yy=2MyXy=(26)5)=7

Coordinates of Y are color (red)(-4, 7)Yare4,7

Jan 10, 2018

Y(-4,7)Y(4,7)

Explanation:

"M is the midpoint of XY"M is the midpoint of XY

rArrvec(XM)=vec(MY)XM=MY

rArrulm-ulx=uly-ulm

rArruly=2ulm-ulx

color(white)(rArruly)=2((0),(6))-((4),(5))

color(white)(rArruly)=((0),(12))-((4),(5))=((-4),(7))

rArrY=(-4,7)