Line segment AB is shown on a coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3.

The line segment is rotated 270 degrees counterclockwise about the origin to form A'B'. Which statement describes A'B'?
A'B' is parallel to AB.
A'B' is half the length of AB.
A'B' and AB are equal in length.
A'B' is greater than twice the length of AB.

When a shape is being moved (like the line for example) its 1. size and 2. shape will not change so we know its not B or D because they have the size changed and length changed and we know they aren't gonna be parallel so we have A crossed out os our answer is C.

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AnkitM AnkitM · Answer 2 · 2022-05-25T03:56:31+02:00

A'B' and AB are equal in length.

What is coordinate geometry?

'Coordinate geometry is an important branch of math, which helps in presenting the geometric figures in a two-dimensional plane and to learn the properties of these figures.'

According to the given problem,

The given line segment A(1 , 3) and B(5 , 3) is parallel to the x-axis. When rotated in a counterclockwise by 270 degrees, the line segment A'B' is parallel to the y-axis.

Therefore, The two line segments are not parallel. They are equal in length.

Hence we can conclude, A'B' an AB is equal in length.

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