The vertices of / are G(–4, 0), H(5, 2), and I(–2, –3). / is rotated 270° counterclockwise about the origin to form /. What are the coordinates of the vertices of /?
The coordinates of new vertices (after rotating 270 ° counterclockwise) are:
G 1 ( 0, 4 ),
I 1 ( -3, 2 )
H 1 ( 2, -5 )
Answer:
The new coordinate of vertices of triangle after rotation G'(0,4) , H'(2,-5) and I'(-3,2)
Step-by-step explanation:
The vertices of triangle are G(–4, 0), H(5, 2), and I(–2, –3).
It is rotated 270° counterclockwise about origin to form new triangle.
Rotation about origin counterclockwise.
Using Rule:
\(R_{270^\circ}(x,y)\rightarrow (y,-x)\)
\(G(-4,0)\rightarrow G'(0,4)\)
\(H(5,2)\rightarrow H'(2,-5)\)
\(I(-2,-3)\rightarrow I'(-3,2)\)
The new coordinate of vertices of triangle after rotation G'(0,4) , H'(2,-5) and I'(-3,2)