Isa8ellanaccarato
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Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?      

Respuesta :

meerkat18
When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)
Y (3,4) --> Y' (-4,3)
Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).
ankitprmr2

The coordinates of X'Y'Z' are X'(1,1), Y'(-4,3), and Z'(1,5).

The triangle XYZ given with the coordinates of vertices that are as follow:

X = ( 1, - 1 )

Y = ( 3, 4 )

Z = ( 5, - 1 )

We need to determine the coordinates of the vertices of the triangle that is obtained by rotating XYZ triangle 90° counterclockwise about the origin.

The value of abscissa and ordinate gets interchanged with a negative sign in abscissa when a figure is rotated 90° counterclockwise about the origin.

Shifting of the coordinates are as follow:

( x, y ) can be interchanged to ( -y, x ) after rotation.

Thus, the coordinates of X'Y'Z' are X'(1,1), Y'(-4,3), and Z'(1,5).

To know more about it, please refer to the link:

https://brainly.com/question/14807529

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