Question

PLEASE HELP DOING PLATO!!! AABC transforms to produce AA'BC. Which transformation did NOT take place?​

Answer 1

Option D

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.