Answer:
Option D
Step-by-step explanation:
From the picture attached,
Coordinates of point C → (1, 3)
Coordinates of point C'→ (-1, -3)
Option A.
rotation 180° counterclockwise about the origin.
Rule for the rotation is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True
Option (B)
Reflection across the origin
Rule for the reflection is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True
Option C
Rotation 180° clockwise about the origin
Rule for the rotation is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True.
Option D
Reflection across the line y = -x
Rule for the reflection,
(x, y) → (-y, -x)
By this rule,
C(1, 3) → C'(-3, -1)
False.
Therefore, Option D will be the answer.
