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Triangle XYZ has vertices X(0,3), Y(2,0) and Z(4,2). if yo reflect triangle XYZ across the line x=4, what will be the coordinates of the vertices of the image Triangle X1,Y1,Z1

Triangle XYZ has vertices X03 Y20 and Z42 if yo reflect triangle XYZ across the line x4 what will be the coordinates of the vertices of the image Triangle X1Y1Z class=

Respuesta :

As X' is the reflected point of X(0,3) , so the x co ordinate of X' = 0+8 =8 and here y co ordinate remains same.

So, X'= (8,3)

Like that way, Y' is the reflected point of Y(2,0) and Z' is the reflected point of Z(4,2)

As the point Z is lying on the line x=4 and the reflection is also across that line, so both Z and Z' represent same point.

Y'= (2+4, 0) = (6, 0)

Z' = (4, 2)

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