Given:
The coordinates of the triangle RST are (0,1), (-2,2) and (-1,4)
The coordinates of the triangle R'S'T' are (1,0), (2,2) and (4,1)
We need to determine the rotation about origin.
Rotation about the origin:
To determine the rotation about the origin, we need to find the translation rule.
The coordinates of the point R to R' is [tex]R(0,1)\implies R'(1,0)[/tex]
The translation rule for the point R to R' is [tex](x,y)\implies (y,-x)[/tex]
The coordinate of the point S to S'is [tex]S(-2,2)\implies S'(2,2)[/tex]
The translation rule for the point S to S' is [tex](x,y)\implies (y,-x)[/tex]
The coordinates of the point T to T' is [tex]T(-1,4)\implies T'(4,1)[/tex]
The translation rule for the point T to T' is [tex](x,y)\implies (y,-x)[/tex]
Therefore the rule to translate the triangle RST to R'S'T' is [tex](x,y)\implies (y,-x)[/tex]
Hence, the triangle is rotated 90° clockwise about the origin.
Hence, Option a is the correct answer.
Answer:
A: 90° clockwise rotation
Step-by-step explanation:
i got it right on edge :)
