Performing transformations

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• reflection
• translation
• rotation
• dilation

what is the degree of rotation?

• 90°

• -90°

• 270°

• none of the above

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

• (x,y)→(y, -x) 
• (x,y)→(-x,-y)
• (x,y)→(x,y)
• (x,y)→(-y,x)

If you were to rotate ABCD 180° about the origin, what would the coordinate of B' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Turning a figure is a ...

• Translation
• Reflection
• Dilation
• Rotation

The rule for rotation of 180 degrees is  
(x, y) --> _

• (-y, x)
• (-x, -y)
• (y, -x)
• (-y, -x)

6-3, Question 2: What are the coordinates of the image of quadrilateral STUV after a 270° rotation about the origin?

• S' (-4, -2), T' (-2, -2), U' (-2, -4), V' (-4, -4)

• S' (-2, 4), T' (-2, 2), U' (-4, 2), V' (-4, 4)

• S' (2, -4), T' (2, -2), U' (4, -2), V' (4, -4)

• S' (4, 2), T' (2, 2), U' (2, 4), V' (4, 4)

REVIEW: What is this picture an example of? 

• An angle
• A cat vertex 
• Rotation 

If a point (4, -5) is rotated 270 degrees clockwise about the origin, what is its new position?

• (5, 4)

• (-5, -4)

• (-4, 5)

• (5, -4)