ROTATE A(1,-4 ), B (2,-1),C (3,-5 ) 180 degrees around the orgin

Question

It includes coordinates.

Answer 1

Draw the Cartesian Coordinate system and pick a point with a (+x) and a (-y) value [that is, in Quadrant IV] [note: because points A, B, and C are in Quadrant IV].

 

Now, when you rotate the point counterclockwise around the Origin, the point will move from Quadrant IV to Quadrant II.  The new x value will be (- old x) and the new y-value will be (- old y).  Be sure to draw this !

 

Now, simply reverse all the signs of the points to find the coordinates of the new points.

 

Important Note:  "180 degrees around the origin" follows this pattern, but other rotations have different rules.

Answer 2

A'(-1,4 ),

B' (-2,1),

C' (-3,5 )