Question

In the figure shown,trapezoid RSTU has vertices R(1,3),S(4,3),T(3,1),and U(2,1).

Draw the image RSTU after a dilation with a scale factor of 2,followed by a translation of 2 units down.Label the vertices EFGH

Answer 1

To perform a dilation with a scale factor of 2, we multiply the x and y coordinates of each vertex by 2.

R(1,3) becomes R'(2,6)

S(4,3) becomes S'(8,6)

T(3,1) becomes T'(6,2)

U(2,1) becomes U'(4,2)

To perform a translation of 2 units down, we subtract 2 from the y-coordinates of each vertex.

R'(2,6) becomes E(2,4)

S'(8,6) becomes F(8,4)

T'(6,2) becomes G(6,0)

U'(4,2) becomes H(4,0)

So, the image of trapezoid RSTU after a dilation with a scale factor of 2, followed by a translation of 2 units down is trapezoid EFGH, with vertices E(2,4), F(8,4), G(6,0), and H(4,0).