Question

Given 4 coordinate points A(2, 0), B(4, 0), C(5, -2), D(1, -2). If the image is rotated by 180° about the origin O, then D' =

(1, 2)
(-1, 2)
(-1, -2)

Answer 1

The answer to your question is b

Answer 2

Option 2nd is correct

(-1, 2)

Explanation:

The rule of rotation by 180 degree about the origin is given by:

`(x, y) \rightarrow (-x, -y)`

As per the statement:

Given 4 coordinate points

A(2, 0), B(4, 0), C(5, -2), D(1, -2).

Apply the rule of rotation on D we have;

`D(1, -2) \rightarrow (-1, -(-2))=(-1, 2)=D'`

Therefore, the image of D' is, (-1, 2)