What should the angle of a rotated triangle be?

What should the angle of a rotated triangle be?

The rotated triangle will be called triangle A’B’C’. As per the definition of rotation, the angles APA’, BPB’, and CPC’, or the angle from a vertex to the point of rotation (where your finger is) to the transformed vertex, should be equal to 90 degrees.

Which is the correct way to rotate a point?

Each point is rotated about (or around) the same point – this point is called the point of rotation. The key is to look at each point one at a time, and then be sure to rotate each point around the point of rotation. Also, remember to rotate each point in the correct direction: either clockwise or counterclockwise.

Which is the direction of rotation by a positive angle?

The direction of rotation by a positive angle is counter-clockwise. So positive is counter-clockwise, which is a standard convention, and this is negative, so a negative degree would be clockwise. And we want to use this tool here. And this tool, I can put points in, or I could delete points.

What happens to a coordinate plane when it rotates?

Imagine a line segment on a coordinate plane that rotates around the origin like a clock hand. If it travels 45° (or any positive degree angle), it will travel in a counterclockwise direction. If it rotates -45° degrees (or any negative degree angle), it will travel in a clockwise direction.

How to calculate the angle of rotation in trig?

Any angle of rotation #theta# can be represented by a point #A# on a unit circle with a center at the origin of coordinates #O# and radius #1#. The angle is measured counterclockwise from the positive direction of the X-axis to a line from #O# to #A#, so #angle XOA=theta# with #|OA|=1#.

What happens to Cos in a 90° rotation?

At a rotation of 90°, all the \\( cos \\) components will turn to zero, leaving us with (x’,y’) = (0, x), which is a point lying on the y-axis, as we would expect. If you wanted to rotate the point around something other than the origin, you need to first translate the whole system so that the point of rotation is at the origin.