Rotations of Shapes

What type of rotation occurs when a shape is turned 90 degrees clockwise?

• 180 degrees clockwise

• Quarter turn

• Half turn

• 270 degrees clockwise

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How many degrees are in a 180-degree rotation?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

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CCSS.8.G.A.3

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What is the result of a 360-degree rotation of a shape?

• The shape shrinks in size

• The shape disappears

• The shape changes color

• The shape returns to its original position.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is rotational symmetry?

• Rotational symmetry is when a shape can be rotated less than a full circle and still look the same.

• Rotational symmetry is when a shape can be resized without changing its appearance.

• Rotational symmetry is when a shape can be reflected across a line and still look the same.

• Rotational symmetry is when a shape can be translated to a different location and still look the same.

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CCSS.HSG.CO.A.4

Explain how rotations are represented in the coordinate plane.

• Rotations are represented by changing the sign of the coordinates of a point.

• Rotations are represented by applying a rotation matrix to the coordinates of a point, where the new coordinates are calculated using trigonometric functions sine and cosine.

• Rotations are represented by dividing the coordinates of a point by a constant value.

• Rotations are represented by translating the coordinates of a point along the x-axis.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Provide an example of a real-life application where rotations of shapes are used.

• Using a compass to find directions

• Rotating food on a plate for presentation purposes

• Rotating tires on a car for maintenance

• Computer-generated imagery (CGI) in movies and video games.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a shape has rotational symmetry of order 3, how many times can it be rotated to map onto itself?

• 5

• 6

• 4

• 3

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CCSS.HSG.CO.A.4

In the coordinate plane, what are the coordinates of a point after a 90-degree clockwise rotation around the origin?

• (x, -y)

• (-y, x)

• (y, -x)

• (-x, y]

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How can rotations of shapes be useful in computer graphics?

• Rotations cause distortion and blurriness in graphics

• Rotations make graphics appear static and uninteresting

• Rotations help in creating dynamic and visually appealing graphics by changing the orientation of objects.

• Rotations have no impact on computer graphics

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CCSS.HSG.CO.A.3

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CCSS.HSG.CO.B.6

Describe a scenario where understanding rotations of shapes is important in architecture.

• Rotations of shapes are crucial in architecture for creating musical harmony within structures.

• Understanding rotations of shapes in architecture helps in predicting weather patterns accurately.

• Architects use rotations of shapes to communicate with extraterrestrial beings.

• Rotations of shapes are important in architecture for designing structures with specific orientations, alignments, and aesthetics.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5