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 /?

Respuesta :

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:

[tex]R_{270^\circ}(x,y)\rightarrow (y,-x)[/tex]

[tex]G(-4,0)\rightarrow G'(0,4)[/tex]

[tex]H(5,2)\rightarrow H'(2,-5)[/tex]

[tex]I(-2,-3)\rightarrow I'(-3,2)[/tex]

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

Ver imagen isyllus