Question

Quadrilateral WXYZ has vertices W(1, 1), X(1,4), Y(2,3), and Z(2,2). Identify the coordinates of the vertices of eachfigure after the similarity transformation.Translation: (x, y)-(x-2, y-1)Dilation: (x, y)-(3x, 3y), centered at (0,0):: (0,3) :: (6,6)W'X'Y'Z':: (0,1):: (0,2):: (6,9):: (-1,0) :: (3,3)w"X"Y"Z":: (0,6) :: (-3,9):: (-3,0):: (-1,3):: (3,12)2+

Answer 1

Given:

Quadrilateral WXYZ has 4 vertices:

W(1, 1), X(1,4), Y(2,3), and Z(2,2).

There are two transformations:

Translation: (x,y) = (x-2, y-1)

Dilation: (x,y) = (3x,3y)

To find:

We need to identify the coordinates after the transformation:

Step-by-step solution:

1) After the first transformation:

(x,y) = (x-2, y-1)

W(1, 1) = (-1, 0)

X(1,4) = (-1, 3)

Y(2,3) = (0, 2)

Z(2,2) = (0, 1)

2) After the Second transformation:

(x,y) = (3x,3y)

W(1, 1) = (3, 3)

X(1,4) = (3, 12)

Y(2,3) = (6, 9)

Z(2,2) = (6, 6)

Here we have finally classified all the different points into different categories.