Answer:
Step-by-step explanation:
Vertices of the rectangle has been given as A(-2, 1), B(2, 1), C(2, -1) and D(-2, -1).
Coordinates after reflection about y-axis,
Rule for the reflection,
(x, y) → (-x, y)
New points after reflection will be A'(2, 1), B'(-2, 1), C'(-2, -1) and D'(2, -1).
Coordinates after rotation of 180° about the origin,
Rule for the rotation,
(x, y) → (-x, -y)
A'(2, 1) → A"(-2, -1)
B'(-2, 1) → B"(2, -1)
C'(-2, -1) → C"(2, 1)
D'(2, -1) → D"(-2, 1)
Coordinates after translation of 3 units left and 2 units down.
Rule for the translation,
(x, y) → [(x - 3), (y - 2)]
A"(-2, -1) → A"'(-5, -3)
B"(2, -1) → B"'(-1, -3)
C"(2, 1) → C"'(-1, -1)
D"(-2, 1) → D"'(-5, -1)
