Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the origin?

coordinate plane with rectangle ABCD at A 3 comma 5, B 1 comma 3, C 5 comma negative 1, and D 7 comma 1

Side B'A' has a slope of −1 and is perpendicular to side BA.
Side B'A' has a slope of 1 and is parallel to side BA.
Side B'A' has a slope of 1 and is perpendicular to side BA.
Side B'A' has a slope of −1 and is parallel to side BA.

Side B'A has a slope of 1 and is perpendicular to side BA

Step-by-step explanation:

When rotating clockwise 90 degrees x,y will become y,-x so lets apply this to the points.

A=(3,5) -->(5,-3)

B=(1,3)-->(3,-1)

C=(5,-1)-->(-1,-5)

D=(7,1)-->(1,-7)

Now that we have the coordinates for A'B'C'D' we will graph both rectangles, (you can do this using Geogebra you wont need an account)once graphed we can draw a long straight line using a straightedge through points BA and B'A' to see that they eventually intersect and the line through B'A' goes through 1 on the x-axis.

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

c

-by-step explanation:

it would be c