Question

Which is the image of trapezoid QRST when the rule (x,y)—> (-x, y-4) is applied?

Answer 1

From the preimage, the coordinates of the trapezoid QRST are:

`Q(3,2),R(4,5),S(7,5),T(10,2)`

Applying the rule, we can find the image of QRST:

`Q(3,2)\rightarrow\langle-3,2-4\rangle=\langle-3,-2\rangle`
`R(4,5)\rightarrow\langle-4,5-4\rangle=\langle-4,1\rangle`
`S(7,5)\rightarrow\langle-7,5-4\rangle=\langle-7,1\rangle`
`T(10,2)\rightarrow\langle-10,2-4\rangle=\langle-10,-2\rangle`

Therefore, the image is Q'(-3,-2), R'(-4,1), S'(-7,1) and T'(-10,-2).