Farmington, New York, has plans for a new triangular park. If plotted on a coordinate grid, the vertices would be A(3, 3), B(5, −2), and C(−3, −1)

Question

Farmington, New York, has plans for a new triangular park. If plotted on a coordinate grid,

the vertices would be A(3, 3), B(5, −2), and C(−3, −1).

However, a tract of land has become available that would enable the planners to increase the size

of the park, which is based on the following transformation of the original triangular park, R270°

over D2.

In this composition, is ABC  A”B”C”? Explain your answer.

Answer 1

270 CW rotation (x,y) -> (-y,x)

so A(3,3), B(5,-2), C(-3,-1) -> A(-3,3),B(2,5),C(1,-3)