Transformations
The two main resources I can use to transform figures are...
patty paper
Highlighter
Translations keep the same...(need at least 2 from the list for points)
-shape and size
-orientation of the figure/vertices
-corresponding side/angles
Reflections keep the same...(need at least 1 from the list for points)
- shape and size
- corresponding angles/sides
Rotations keep the same...(need at least 1 from the list for points)
- shape and size
- corresponding side/angles
If the pre-image and the image are congruent, it means that the shapes...
same shape & same size
What are the three different Transformations?
Translations
Reflections
Rotations
True or False: This is a translating rule.
(x,y) --> (-x,y)
False
Figure XYZ is in Quadrant 3 and was reflected over the x-axis.
What quadrant will the image be reflected in?
*Write the rule for a 100 bonus points
Quadrant 2
*(x,y) --> (x,-y)
If a pre-image is in quadrant 2, and rotated 180 degrees counter clockwise, what quadrant will the image be created?
Quadrant 4
Preserve congruence means to...
Keep the same
Transformations have 3 Rigid Motions. They are...
Slide
Flip
Spin/Turn
Write the verbal description and rigid motion of this rule.
(x,y) -> (x-6, y+7)
Slide left 6 and Up 7
Write the reflection rule for flipping over the y-axis.
(x,y) --> (-x,y)
Write the rule of a figure that rotated 90 clock-wise.
The rigid motion for reflection is...
flip
Orientation of the figure talks about the...
Direction of a shape
Write the rule and rigid motion for this verbal description.
"Figure DEF was created from Figure ABC by translating right 3 units and down 5 units."
Sliding (x,y) --> (x+3,y-5)
Figure GHI reflected using this rule.
(x,y) --> (x,-y)
What rigid motion and axis does this rule apply to?
Flipping over the x-axis
Triangle RST was rotated 270 degrees clockwise.
Write the rule that applies to the rotating figure.
(x,y) --> (-y,x)
Sliding to the right/left & up/down are a part of what transformation?
Translations
If a figure has corresponding sides and corresponding angles, they have the same...
Relative position
Write the rule of the verbal description.
"Figure ABC translated down 8 units."
(x,y) --> (x,y-8)
Use the coordinates to write the matching reflection rule and line of reflection.
PreImage - A(2,3) B(2,6) C(4,4)
Image - A(-2,3) B(-2,6) C(-4,4)
Flip over the y-axis
(x,y) --> (-x,y)
Figure AMP is in quadrant 4 and was rotated to quadrant 3.
Write the rigid motion and the 2 possible rules.
90 degrees clockwise
270 degrees counter-clockwise
Figures with the same shape but not the same size are...
Congruent or Similar