Answer: The correct options are
R 0,90,
R 0,270,
(x,y) -> (-y,x)
Step-by-step explanation:
In R 0,90,
[tex](x,y)\rightarrow (-y,x)[/tex]
Thus, If the triangle XYZ with vertices X(0,0) , Y(0,-2) , Z(-2,-2) is rotated 90° about origin,
Then its new coordinates are,
[tex](0,0)\rightarrow (0,0)[/tex]
[tex](0,-2)\rightarrow (2,0)[/tex]
[tex](-2,-2)\rightarrow (-(-2),-2))[/tex]
Thus, If X'Y'Z' is the transformed triangle the coordinates of the transformed figure,
X'(0,0) , Y’(2,0) , Z’(2,-2).
⇒ First Option is correct.
In R 0,180,
[tex](x,y)\rightarrow (-x,-y)[/tex]
Thus, If the triangle XYZ with vertices X(0,0) , Y(0,-2) , Z(-2,-2) is rotated 90° about origin,
Then its new coordinates are,
[tex](0,0)\rightarrow (0,0)[/tex]
[tex](0,-2)\rightarrow (0,2)[/tex]
[tex](-2,-2)\rightarrow (2,2)[/tex]
Thus, If X'Y'Z' is the transformed triangle the coordinates of the transformed figure,
X'(0,0) , Y’(0,2) , Z’(2, 2).
⇒ Second option is incorrect.
In R 0,270,
[tex](x,y)\rightarrow (-y,x)[/tex]
Thus, If the triangle XYZ with vertices X(0,0) , Y(0,-2) , Z(-2,-2) is rotated 90° about origin,
Then its new coordinates are,
[tex](0,0)\rightarrow (0,0)[/tex]
[tex](0,-2)\rightarrow (2,0)[/tex]
[tex](-2,-2)\rightarrow (-(-2),-2))[/tex]
Thus, If X'Y'Z' is the transformed triangle the coordinates of the transformed figure,
X'(0,0) , Y’(2,0) , Z’(2,-2).
⇒ Third Option is correct.
In (x,y) -> (-y,x)
The new coordinates are,
[tex](0,0)\rightarrow (0,0)[/tex]
[tex](0,-2)\rightarrow (2,0)[/tex]
[tex](-2,-2)\rightarrow (-(-2),-2))[/tex]
Thus, If X'Y'Z' is the transformed triangle the coordinates of the transformed figure,
X'(0,0) , Y’(2,0) , Z’(2,-2).
⇒Fourth Option is correct.
In (x,y) -> (y,-x)
The new coordinates are,
[tex](0,0)\rightarrow (0,0)[/tex]
[tex](0,-2)\rightarrow (-2,0)[/tex]
[tex](-2,-2)\rightarrow (-2,-(-2))[/tex]
Thus, If X'Y'Z' is the transformed triangle the coordinates of the transformed figure,
X'(0,0) , Y’(2,0) , Z’(-2,2).
⇒Fourth Option is incorrect.
Answer:
R 0,90,
R 0,270,
(x,y) -> (-y,x)
Step-by-step explanation:
