Question

Point A (-7,-2) is rotated 270 counterclockwise and then shifted down 3 units. What are to coordinates of K’

Answer 1

Answer:

K'= (-2, 4)

Step-by-step explanation:

First we are going to rotate our point 270° counterclockwise.

The rule for a 270° counterclockwise rotation is $(x,y)-->(y,-x)$, which means that we just need to interchange the coordinates of the point and change the sign of the x-coordinate:

$(x,y)-->(y,-x)$

$(-7,-2)-->(-2,-7)$

$(-7,-2)-->(-2,-(-7))$

$(-7,-2)-->(-2,7)$

Now, to shift the point 3 units down, we just need to subtract 3 units from the new y-coordinate of our resulting point form the previous procedure:

$(x,y)-->(x,y-3)$

$(-2,7)-->(-2,7-3)$

$(-2,7)-->(-2,4)$

We can conclude that the coordinates of K' are (-2, 4)