Line segment pq 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 pq is shown with q as ordered pair negative 1, 3 and p as ordered pair negative 5, 3.

the line segment is rotated 270 degrees counterclockwise about the origin to form p'q'. which statement describes p'q'?

p'q' is two times the length of pq.

p'q' is equal in length to pq.

p'q' is half the length of pq.

p'q' is parallel to pq.

P'Q' is equal in length to PQ.

Step-by-step explanation:

Before rotation

P(-5, 3)

Q(-1, 3)

we get the length

L = √((-1-(-5))²+(3-3)²) = √((-4)²+(0)²) = 4

After rotation

P'(3, 5)

Q'(3, 1)

we get the length

L' = √((3-3)²+(1-5)²) = √((0)²+(-4)²) = 4

we can say that   L = L' = 4

P'Q' is equal in length to PQ.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

its definatley   this on your answer choice?