Topics
1. Transformations
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United States of AmericaNC
Math 2

1.03 Rotations

Lesson
Practice

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

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° counterclockwise about the origin?

Easy
< 1min

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

Easy
< 1min
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Outcomes

NC.M2.F-IF.1

Extend the concept of a function to include geometric transformations in the plane by recognizing that: • the domain and range of a transformation function f are sets of points in the plane; • the image of a transformation is a function of its pre-image.

NC.M2.F-IF.2

Extend the use of function notation to express the image of a geometric figure in the plane resulting from a translation, rotation by multiples of 90 degrees about the origin, reflection across an axis, or dilation as a function of its pre-image.

NC.M2.G-CO.2

Experiment with transformations in the plane. • Represent transformations in the plane. • Compare rigid motions that preserve distance and angle measure (translations, reflections, rotations) to transformations that do not preserve both distance and angle measure (e.G. Stretches, dilations). • Understand that rigid motions produce congruent figures while dilations produce similar figures.

NC.M2.G-CO.4

Verify experimentally properties of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

NC.M2.G-CO.5

Given a geometric figure and a rigid motion, find the image of the figure. Given a geometric figure and its image, specify a rigid motion or sequence of rigid motions that will transform the pre-image to its image.

NC.M2.G-SRT.1d

Dilations preserve angle measure.

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