If point #P(3,10)# is reflected across the line #y=1#, what are the coordinates of its reflection image?

1 Answer
Jim G.
May 16, 2018

#P'=(3,-8)#

Explanation:

#" the line "y=1" is a horizontal line passing through all"#
#"points with a y-coordinate of 1"#

#"the point "(3,10)" reflected in this line"#

#"the x-coordinate remains in the same position"#

#"but the y-distance "=10-1=9#

#"under reflection the y-coordinate will be 9 units"#
#"below the line "y=1#

#"that is "1-9=-8#

#rArrP(3,10)toP'(3,-8)#
graph{(y-0.001x-1)((x-3)^2+(y+8)^2-0.06)((x-3)^2+(y-10)^2-0.06)=0 [-20, 20, -10, 10]}

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