Find the centre of rotation?
1 Answer
The centre of rotation is
Explanation:
Figure
I'll pick
#P=(2,–2)# and its corresponding point#P^star=(3,5).#
Measure the vertical distance between these two points. Go from
My vertical distance is
#5-(–2)=7# .
Measure the horizontal difference between them too, but this time, go from
My horizontal distance is
#2-3=–1# .
Split the vertical difference
My two numbers will be
#3# and#4# in that order, since#3-4=–1.#
The centre of rotation will be
#color(white)= (2-3, " "–2+4)#
#=(–1," "2)# .
We can see this is the centre of rotation because we can draw a