Rotation Transformations and Rules

The video tutorial covers the concept of geometric rotations, focusing on transformations of 90, 180, and 270 degrees. It explains how to perform these rotations around a fixed point, particularly the origin, and discusses the changes in coordinates for each type of rotation. The tutorial also includes practical examples and concludes with a summary of the key points discussed.

What is the first step in performing a rotation transformation?

• Take the negative value of x

• Determine the angle of rotation

• Identify the fixed point

• Swap the coordinates

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What is the result of a 90-degree rotation about the origin?

• Take the negative value of both x and y

• Swap x and y, then take the negative value of y

• Swap x and y, then take the negative value of x

• Do not swap x and y, just take the negative value of x

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CCSS.8.G.A.3

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What is the transformation rule for a 180-degree rotation?

• Swap x and y, then take the negative value of y

• Take the negative value of both x and y without swapping

• Do not swap x and y, just take the negative value of y

• Swap x and y, then take the negative value of x

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

For a 270-degree rotation, what is the transformation rule?

• Swap x and y, then take the negative value of y

• Swap x and y, then take the negative value of x

• Take the negative value of both x and y without swapping

• Do not swap x and y, just take the negative value of y

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CCSS.HSG.CO.A.5

CCSS.8.G.A.3

What is the new coordinate of point Q(-4, 1) after a 270-degree rotation?

• (1, 4)

• (-1, 4)

• (1, -4)

• (4, -1)

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How many times was the point Q transformed in the example?

• Once

• Four times

• Twice

• Three times

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What is the label given to the point after the third transformation?

• Q triple prime

• Q quadruple prime

• Q double prime

• Q prime

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What is the significance of the fixed point in rotation transformations?

• It is swapped with the coordinates

• It is taken as the negative value

• It determines the angle of rotation

• It remains unchanged during the rotation

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which direction is the 270-degree rotation performed in the example?

• Downwards

• Counterclockwise

• Upwards

• Clockwise

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What is the final step in performing a 270-degree rotation?

• Swap x and y

• Take the negative value of y

• Take the negative value of x

• Do not swap x and y

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5