Question

What is the image point of (-3,3) after the transformation R180° 0 T-3, -4?

Answer 1

Image point → (6, 1)

Explanation:

Given point → (-3, 3)

Transformation to be done →
`R_(180)0T_(-3,-4)`

Transformations to be done,

Step - (1). Translation of the given by 3 units left and 4 units down.

Step - (2). Followed by the rotation counterclockwise 180° about the origin.

Rule for step (1),

(x, y) → (x - 3, y - 4)

By this rule,

(-3, 3) → [(-3 - 3), (3 - 4)]

→ (-6, -1)

Rule for step -2,

(x, y) → (-x, -y)

(-6, -1) → (6, 1)

Therefore, following these two steps coordinates of the image point → (6, 1)