Question

The vértices of a figure are given.

Answer 1

Answer:

  R''(2, 1), S''(-1, 7), T''(2, 7)

Step-by-step explanation:

Rotation 90° CCW is accomplished by the transformation ...

  (x, y) ⇒ (-y, x)

Translation 3 left and 8 up is accomplished by the transformation ...

  (x, y) ⇒ (x -3, y +8)

Together, the two transformations give ...

  (x, y) ⇒ (-y -3, x +8)

So your transformed points are ...

  R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)

  S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)

  T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)