Transformations

The original figure prior to a transformation.

• Pre-image
• Image

Write the rule for this translation:
Slide 3 up and 2 right

• (x, y)---->(x + 3, y + 2)
• (x, y)-----> (x+2, y + 3)
• (x, y)----> (x - 2, y + 3)

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

• rotation
• translation
• reflection
• dilation

Determine how to translate triangle ABC to triangle A'B'C'. 

• right 2, down 5
• right 2, down 9
• left 2, up 9
• left 2, down 9

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

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

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

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

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

Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the point.

• (-4,-3)
• (-4,3)
• (4,-3)
• (3,4)