Question

Line segment EF is shown on a coordinate grid:

The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'. Which statement describes E'F'?


A E'F' is perpendicular to EF.

B E'F' and EF are equal in length.

C E'F' is half the length of EF.

D E'F' is greater than twice the length of EF.

Answer 1

The correct answer would be B E'F' and EF are equal in length.

Answer 2

Answer: B. E'F' and EF are equal in length.

Explanation:

• A rotation is a kind of rigid transformation which produces the image of same shape and size after rotating it by some degrees .

The rotation has two main properties:-

1. Rotations preserve size ( includes sides and angles).

2. Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Given : The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'.

Then, E'F' and EF are equal in length. ( by property 1.)