Question

Which sequence of transformations could be used to map quadrilateral RSTU onto R”S”T”U”?

Answer 1

C. R0 90 degrees -T(3,1)

Explanation:

Answer 2

In given quadrilateral RSTU, the vertices have coordinates R(-5,-4), S(-4,-2), T(-1,-3) and U(-3,-5).
The transformation
`T_((3,1))` maps points R, S, T, U into points R'(-2,-3), S'(-1,-1), T'(2,-2), U'(0,-4), respectively.
Then the transformation
`R_(0,270^(\circ))` maps points R', S', T', U' into points P''(-3,2), S''(-1,1), T''(-2,-2), U''(-4,0), respectively. Hence you obtain given quadrilateral R''S''T''U''.
Answer: correct choice is C -
`R_(0,270^(\circ))\circ T_((3,1))`.