Understanding 90-Degree Clockwise Rotation

The video tutorial explains how Eduardo rotates triangle ABC 90 degrees clockwise about the origin to form triangle A'B'C'. It discusses the transformation rules for coordinates, showing how the x and y coordinates change during the rotation. The tutorial sets up a table to compare pre-image and image coordinates, identifies patterns in the transformation, and derives a rule for the 90-degree clockwise rotation: the new x-coordinate is the old y-coordinate, and the new y-coordinate is the negative of the old x-coordinate.

What transformation did Eduardo apply to triangle ABC?

• 90 degrees clockwise rotation

• 90 degrees counterclockwise rotation

• Reflection over the x-axis

• 180 degrees rotation

Tags

CCSS.HSG.CO.A.2

What is the first step in writing a rule for a transformation?

• Identify the new coordinates

• Determine the type of transformation

• Start with each x or y coordinate in the pre-image

• Draw the image

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the coordinates of point A in the pre-image?

• (4, 5)

• (5, 4)

• (7, 5)

• (3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What happens to the x-coordinate of a point after a 90-degree clockwise rotation?

• It becomes the negative of the new y-coordinate

• It becomes the new x-coordinate

• It becomes the new y-coordinate

• It remains unchanged

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new y-coordinate of point B after the rotation?

• -3

• 4

• 3

• -4

Tags

CCSS.8.G.A.3

What is the pattern observed in the transformation of coordinates?

• All of the above

• The x-coordinate becomes the new y-coordinate

• The y-coordinate becomes the new x-coordinate

• The x-coordinate becomes the negative of the new y-coordinate

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the final rule for a 90-degree clockwise rotation?

• Switch x and y, and make x negative

• Switch x and y, and make y negative

• Keep x and y the same

• Reflect over the y-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new x-coordinate of point C after the rotation?

• 5

• 7

• -5

• -7

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How does the y-coordinate change in a 90-degree clockwise rotation?

• It becomes the new y-coordinate

• It remains unchanged

• It becomes the negative of the new x-coordinate

• It becomes the new x-coordinate

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new y-coordinate of point A' after the rotation?

• 5

• 4

• -4

• -5

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5