Sylvia applies two transformations to WXYZ shown below on the coordinate grid. She applies a reflection across the y-axis and then a rotation of 180° counterclockwise about the origin.


What are the coordinates of the final vertices of the two transformations?

coordinates: ________________________

Sylvia applies two transformations to WXYZ shown below on the coordinate grid She applies a reflection across the yaxis and then a rotation of 180 counterclockw class=

Respuesta :

The coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)

How to determine the final vertices?

The coordinates of the polygon WXYZ are:

W = (-4,-1)

X = (-2,-1)

Y = (-2,-4)

Z = (-3,-2)

When reflected across the y-axis, the rule of transformation is:

(x,y) -> (-x,y)

So, we have:

W' = (4,-1)

X' = (2,-1)

Y' = (2,-4)

Z' = (3,-2)

When rotated by 180 degrees, the rule of transformation is:

(x,y) -> (-x,-y)

So, we have:

W" = (-4,1)

X" = (-2,1)

Y" = (-2,4)

Z" = (-3,2)

Hence, the coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)

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