Rotating Objects 90 Degrees Around the Origin

This video tutorial by Mr. Maisonette explains how to rotate objects 90 degrees around the origin, both clockwise and counterclockwise. It focuses on rotating triangle ABC, detailing the changes in coordinates as the triangle moves between quadrants. The tutorial also covers the concept of axis rotation and how it affects the coordinates of points. The video concludes with a request to subscribe for more math content.

What is the initial quadrant of triangle ABC before any rotation?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

After a 90-degree clockwise rotation, which quadrant will triangle ABC be located in?

• Quadrant 3

• Quadrant 4

• Quadrant 2

• Quadrant 1

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What happens to the coordinates of a point when rotated 90 degrees clockwise to quadrant 1?

• Coordinates become all positive

• Coordinates become all negative

• X becomes positive, Y becomes negative

• X becomes negative, Y becomes positive

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following represents the new coordinates of point A after a 90-degree clockwise rotation?

• (-8, -2)

• (8, 2)

• (-2, -8)

• (2, 8)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How are the coordinates of point B affected by a 90-degree clockwise rotation?

• (8, -8)

• (8, 8)

• (-8, -8)

• (-8, 8)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new quadrant for triangle ABC after a 90-degree counterclockwise rotation?

• Quadrant 3

• Quadrant 4

• Quadrant 2

• Quadrant 1

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the new coordinates of point A after a 90-degree counterclockwise rotation?

• (-8, -2)

• (2, 8)

• (8, 2)

• (-2, -8)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

After rotating to quadrant 3, what happens to the signs of the coordinates?

• Both become positive

• Both become negative

• X becomes negative, Y becomes positive

• X becomes positive, Y becomes negative

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CCSS.6.NS.C.6B

What geometric shape is formed by the original and new locations of point A along with the origin after a rotation?

• Straight line

• Right angle

• Circle

• Parabola

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Why is it important to understand the axis rotation in geometry?

• To calculate area

• To understand coordinate changes

• To measure distances

• To draw shapes accurately

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5