Given point A (2, 4)

Question

on the triangle in Quadrant I, how would you describe the coordinates of the new point when the triangle is rotated 90 degrees clockwise

Answer 1

To rotate a point 90 degrees clockwise around the origin, you can use the transformation for the coordinates. If the original point is $(x,y)$, the new coordinates after a 90-degree clockwise rotation will be $(y,-x)$.

Given point $A(2,4)$:

• $x=2$
• $y=4$

Now applying the transformation:

• New x-coordinate = $y=4$
• New y-coordinate = $-x=-2$

So the coordinates of the new point after rotating 90 degrees clockwise would be $(4,-2)$.

Keep in mind that this new point $(4,-2)$ is in Quadrant IV since the x-coordinate is positive and the y-coordinate is negative.