Rotations on the Cartesian Plane
Interactive practice questions
What is the correct image after $M$M is rotated $180^\circ$180° clockwise about the origin?
On a Cartesian plane, four identical triangles that share a common vertex at the origin $\left(0,0\right)$(0,0) are plotted. In every quadrant there is one triangle. The triangle in the first quadrant is shaded green and is labeled as triangle $Q$Q. The triangle in the second quadrant is shaded blue and is labeled as triangle $P$P. The triangle in the third quadrant is shaded orange and is labeled as triangle $N$N. The triangle in the fourth quadrant is shaded purple and is labeled as triangle $M$M. The triangles are arranged like a pinwheel where each subsequent triangle is a $90^\circ$90° rotation of the previous one. In clockwise rotation, triangle $M$M is subsequent to triangle $Q$Q, triangle $N$N is subsequent to triangle $M$M, triangle $P$P is subsequent to triangle $N$N, and triangle $Q$Q is subsequent to triangle $P$P.
$N$N
$Q$Q
$P$P
What is the correct image after $Q$Q is rotated $270^\circ$270° clockwise about the origin?
Which of these is a rotation of shape $M$M by $90^\circ$90° anticlockwise about the origin?
What is the correct image after $Q$Q is rotated $270^\circ$270° anticlockwise about the origin?