Question

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 /?

Answer 1

The new coordinate of vertices of triangle after rotation G'(0,4) , H'(2,-5) and I'(-3,2)

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)

Answer 2

The coordinates of new vertices (after rotating 270 ° counterclockwise) are:
G 1 ( 0, 4 ),
I 1 ( -3, 2 )
H 1 ( 2, -5 )