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9.03 Rotations

Adaptive
Worksheet

Interactive practice questions

What is the correct image after $M$M is rotated $180^\circ$180° clockwise about the origin?

On a Coordinate 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. They are arranged like a pinwheel where each subsequent triangle is a $90^\circ$90° rotation of the previous one. 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.

$N$N

A

$Q$Q

B

$P$P

C
Easy
< 1min

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

Easy
< 1min

What is the correct image after $Q$Q is rotated $90^\circ$90° counterclockwise about the origin?

Easy
< 1min

Which shape corresponds to a rotation of triangle $R$R by $270^\circ$270° clockwise about the origin?

Medium
< 1min
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Outcomes

G.CO.A.2

Represent transformations in the plane using, e.g. Transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g. Translation versus horizontal stretch).

G.CO.A.4

Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

G.CO.A.5

Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g. Graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

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