Question

What is the coordinate for the image of point H(-1,-5) under a 90 degree clockwise rotation about the origin?What is the mapping rule for finding the coordinates of a figure that isA) Rotated 180 degrees about the origin? -> (x,y)B) Rotated 90 degrees about the origins -> (x,y)

Answer 1

By definition, a Rotation is a transformation in which a figure is turned about a point called "Center of rotation".

In this case you know that the point H must be rotates 90 degrees clockwise about the Origin. Remember that the Origin is this point:

`(0,0)`

The rule for a 90 degree Clockwise rotation about the Origin, is:

`(x,y)\rightarrow(y,-x)`

Knowing that the Pre-Image is this point:

`H\mleft(-1,-5\mright)`

You need to apply the rule in order to find the coordinates of it Image after the rotation indicated. This is:

`H\mleft(-1,-5\mright)\rightarrow H^(\prime)(-5,1)`

The answer is:

`H^(\prime)(-5,1)`