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India
Class IX

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

A

$Q$Q

B

$P$P

C
Easy
< 1min

What is the correct image after $Q$Q is rotated $270^\circ$270° clockwise about the origin?

Easy
< 1min

Which of these is a rotation of shape $M$M by $90^\circ$90° anticlockwise about the origin?

Easy
< 1min

What is the correct image after $Q$Q is rotated $270^\circ$270° anticlockwise about the origin?

Easy
< 1min
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Outcomes

9.CG.CG.1

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, graph of linear equations as examples; focus on linear equations of the type ax + by + c = 0 by writing it as y =mx + c and linking with the chapter on linear equations in two variables.

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