Question

In which quadrant will the image FGH lie after a counterclockwise rotation of 1980 degrees? Explain how you made your prediction

Answer 1

A 360 degrees counter-clockwise rotation will bring the triangle at the same place.

So, divide 1980 by 360 and find the remainder.

On dividing, we can find that

1980 = 5(360) + 180

A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.

A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.