Basic Transformations/Miscellaneous
What transformation looks the exact same when it's finished and is only moved around?
Translation
Describe the translation:
A (1,2) A'(-1,-5)
Left 2 Down 7
Name the transformation
(x+a, y+b)
Translation
True or False: If the size of an image decreases, you divide by the scale factor.
FALSE, never divide the scale factor, always multiply.
What is the image of point (-7,9) after a 90 degrees counter clockwise rotation.
(-9,-7)
What transformation creates a LINE of symmetry
Reflection
Point A is at (-3,-1). What is the image of A' after it is translated 8 units right and 5 units down.
A' (5,-6)
Name the transformation:
(x,y) => (x,-y)
Reflection over the x-axis
Give 2 examples of scale factors. The first one makes the image size increase, the second one makes the image size decrease.
Increase should be greater than 1.
Decrease should be between 0 and 1.
What is the image of the point (5,-6) after a 180 degree clockwise rotation
(-5,6)
Slide 2 in google slideshow
Reflection over x axis
What is the image point of (3,1) after a translation 1 unit left and 3 units down
(2,-2)
Name the transformation
(x,y)=>(y,x)
Reflection over y=x
What is the scale factor for the following transformation. A'(-12,6) A is (-4,2)
Scale factor of 3
Rotate (2,-3) 180 degrees counter clockwise.
(-2,3)
Slide 3 in google slideshow
Translation 1 unit right and 4 units up
Slide 1 on google slideshow
Y'(-4,2)
G'(-1,0)
M'(-4,-2)
Name both transformations
1. (x,y)=>(-y,x)
2. Reflection over y=-x
1. 90 degrees counterclockwise
2. (x,y)=>(-y,-x)
Dilate (-8,8) by a scale factor of 3/4.
(-6,6)
If a point starts in quadrant 2 and ends in quadrant 4, how many degrees counter clockwise did I rotate it?
180 degrees either direction
Slide 4 in google slideshow
Order 8
Magnitude 45
LOSS OF POINTS
If you get the next question right, you will not lose points. If you get the next question wrong, you will lose double the points that the next question is worth.
Name BOTH transformations
1. (x,y)=>(y,-x)
2. (x,y)=>(-x,-y)
1. 270 degrees counter clockwise
2. 180 degrees counter clockwise
Slide 5 in google slideshow
Make sure you list all ordered pairs.
T' (-6,-9)
U' (3,-6)
V' (9,3)
W' (3,6)
X' (-3,0)
What is the image point of (6,1) after a 270 degrees counter clockwise rotation.
(1,-6)