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DatePeriodne series of transformations that has occurred.2.IX(-3,6)-> (3,6)I) -xx+6, Y12 y + 6)+6,-Y)A. (x,y)-(-x+3.y-5) C. (x,y) → (-xy-5)B. (x,y) - (x +3.y-5) D. (x,y)-(x-1,-y)

DatePeriodne series of transformations that has occurred2IX36gt 36I xx6 Y12 y 66YA xyx3y5 C xy xy5B xy x 3y5 D xyx1y class=

Respuesta :

The triangle XYZ is formed by the next points:

X=(2, 5) Y=(0, 2) Z=(3,1)

The transformations that have occurred in the XYZ triangle are:

1. A reflection over the x-axis.

It will result in a change on the sign of the x-coordinate, then the new coordinates are (-x, y):

X'=(-2, 5) Y'=(0, 2) Z'=(-3,1)

2. A translation of 3 units to the right and 5 units down.

Then, the new coordinates are given by (x+3, y-5)

X'=(-2+3, 5-5) Y'=(0+3, 2-5) Z'=(-3+3,1-5)

X'=(1, 0) Y'=(3, -3) Z'=(0,-4)

If you check, these are the final coordinates of the points that form the triangle X'Y'Z'.

Thus, the set of transformations that has occurred is: (x,y)→(-x+3, y-5). The answer is option A

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