Question

Figure ABCD is a trapezoid with point A (0, -4). What rule would rotate the figure 270° clockwise, and what coordinate would be the output for point A'?

Answer 1

The rule would rotate the figute 270° clockwise is: (x,y)→(-y,x)

The coordinate would be the output for point A' is (4,0)

Explanation:

When you make a rotation of 270° clockwise of a point P=(x,y), the coordinates of the new point will be P'=(-y,x). Then, the rule would rotate the figue is (x,y)→(-y,x)

In this case the point:

A=(0,-4)=(xa,ya); xa=0, ya=-4

The output would be:

A'=(-ya,xa)=(-(-4),0)→A'=(4,0)