Question

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?

Answer 1

Answer:

Step-by-step explanation:

--- rotation 180 (clockwise and counter clockwise) rule

(x, y) -------> (- x, - y)

--- reflection across y = - x

(x, y) --------> ( - y, - x)

~~~~~~~~~~~~~

A(- 3, 0), B(- 2, 3), C(- 1, 1)

A'(3, 0), B'(2, - 3), C'(1, - 1)

A"(0, - 3), B"(3, - 2), C"(1, - 1)