Question

Graph the image of the given triangle, rotated 90° counterclockwise about the origin.
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Is this correct?

Answer 1

@IrishBoy123

Answer 2

Mmmmm

Answer 3

@Loser66

Answer 4

Hmmm...
If the blue triangle is the preimage (in the second quadrant), then the image should be in the third quadrant, since it is rotated counter-clockwise about the origin.

The rule of rotation is:
\(R_{-90}: (x,y) -> (-y,x)\)
Example:
A preimage (-3,6) would have x=-3, y=6, its image would be at (-6,-3), i.e. rotated from the second quadrant to the third quadrant.

Answer 5

the blue triangle is the image

Answer 6

It's the same principle. If the grey is the preimage, and since the preimage straddles on the x-axis, a 90\(\deg\) counterclockwise rotation should bring it to straddle the +y-axis.
The transformation relation does not change.