Right triangle xyz, has vertex angles at the coordinates, x(0, 0), y(-3, 0) and z(-3, 4) . its image, triangle x'y'z' has vertex angles at the coordinates, x'(3, -5), y'(0, -5), and z'(0, -1). describe the horizontal and vertical translations that map triangle xyz onto its image, triangle x'y'z'.

Right 3 ; down 5.

Step-by-step explanation:

Given a right triangle XYZ has vertex angles at the coordinates X(0,0),Y (-3,0)and Z(-3,4)

The vertex angles at the coordinates X'(3,-5) ,Y'(0,-5) and Z'(0,-1) of the image triangle X'Y'Z' of given triangle XYZ.

X(0,0) change into X'(3,-5)

We can write

x'-x=3-0=3

x'=x+3

y'-y=-5-0=-5

y'=y-5

Similarly , in the same way  Y(-3,0) change into (0,-5) and Z(-3,4) change into Z'(0,-1).

Hence, the horizontal translation x'=x+3 .It means shift 3 unit on the right side of x axis.

Vertical translation y'=y-5.It means shift 5 unit downward on the negative y-axis.

Option D. Right 3; down 5 is correct option.

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