Question

the line segment is rotated 270 degrees counterclockwise about the origin to form R’S’. which statement describes R’S’?

Answer 1

Given : the line segment  RS is rotated 270 degrees counterclockwise about the origin to form R’S’

To Find

R'S' is parallel to RS.

R'S' is half the length of RS

. R'S' is twice the length of RS.

R'S' is equal in length to RS.

Solution:

line segment is rotated only hence there is no dilation / scaling

Hence Size of RS  and R'S' would be same

R'S' is equal in length to RS.

R'S' is parallel to RS. - FALSE    R'S'  ⊥ RS

R'S' is half the length of RS   - FALSE  R'S' is equal in length to RS.

. R'S' is twice the length of RS. - FALSE  R'S' is equal in length to RS.

R'S' is equal in length to RS. - TRUE

R'S' is equal in length to RS. describes R’S’

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