Trapezoid ABCD has vertices A(-5,9) B(-2,9) C(-8,0) D(1,0) after a translation of 2 units right and 3 units down followed by a dilation with a scale factor of 2/3. What are the vertices of trapezoid RSTU

(-2,4), (0,4), (-4,-2) and (2,-2)

Step-by-step explanation:

Given

Required

Determine the vertices of the image RSTU

When a coordinate (x,y) is translates b units right, the new coordinate is: (x + b, y)

So, translation 2 units right gives:

--->

--->

--->

--- >

When a coordinate (x,y) is translates b units down, the new coordinate is: (x, y-b)

So, translation 3 units down gives:

--->

-->

-->

-->

Lastly, dilation of 2/3 gives:

Hence, the coordinates of RSTU are: (-2,4), (0,4), (-4,-2) and (2,-2)