Question

Point A is located at (3, 4) and is rotated 90° counterclockwise about the origin. The new location, point A’, is (-4, 3). TRUE or FALSE?

Answer 1

Let us picture it

Answer 2

To rotate the point "counterclockwise" means to turn it left and knowing that each quadrant of a cartesian axis is 90 degrees then we can turn the point from quadrant 1 to quadrant 2 and find our new points

Answer 3

You could think of one segment of an angle as the line that goes from (0, 0) to (3, 4). The line that is perpendicular to it creates a 90 degree angle. On graph paper it is very easy to see as the 90 degree perpendicular line goes through (-4, 3). Then you know it's true.

Answer 4

Alright, thank you !!! :]

Answer 5

You could also do this with a protractor. Put the hole in the center of the protractor at the origin and the line going out from the hole on ((3, 4). Follow the 90 degree mark to your point. That's actually the correct way to do it.