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)

Question

asked Mar 7, 2018 188k views

2 Answers

GrayFace · Answer 1 · 2018-03-13T20:55:41+0000

Answer:

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)