Properties/Vocab
Translations
Reflections
Rotations
Rules and Misc.
100
What directions are translations?
Left/Right/Up/Down
100
If point J is at (3,-4) and you translate it up 7 units and left 5 units. What's the Rule? and What is J'?
Rule: x-5 and y+7 and J' (-2,3)
100
When reflecting over the y-axis, these values change.?
Example A= (2,-3) and answer the example
x values change A' (-2,-3)
100
(-3,4) rotated 180 degrees. Rule? and Image?
Rule is (-x,-y) and Image (3,-4)
100
What is this Rule represent: R(x,y)=(-y,x)
Rotation of 90 CCW or 270 CW
200
This transformation is not a rigid motion? Explain what this transformation means?
Dilation. Dilation means to change size. Enlarge or shrink.
200
Create the rule?
Rule (x, y-7)
200
When reflecting over the x axis this changes?
Use this example (3,-1)
reflecting over x axis changes y. Image: (3,1)
200
(2,-4) rotated 270 degrees CCW. Rule? and Image?
Rule for 270 CCW (y,-x) and Image (-4,-2)
200
What does this rule represent R(x,y)=(y,-x)
270 ccw rotation
300
What does it mean to reflect an image? and give an example?
Flip it. Reflecting over x axis changes y value.
Ex (2,3) becomes (2,-3)
300
Given x+2, y-1 find C'?
(4,-6)
300
Find B' after a reflection across the x axis?
B' (4,2)
300
Rotate 90 CCW find image for PQR
Rule (-y,x)
P' (0,0) Q' (-4,2) R' (-2,5)
300
This rule R(x,y)=(-x,-y) represents what?
180 rotation (direction doesn't matter)
400
What do you do to a figure when you translate it?
Slide it.
400
If point A is at (2,2) and you translate it left 5 units, what would the point at A' be?
(-3,2)
400
A (3,8) B (8,5) C(1,1) Find image ABC reflected x=-2.
A' (-7,8) B' (-12,5) C' (-5,1)
400
Rotate the shape ABC 90 clockwise. What are the new coordinates? A (0,0) B (4,-2) C (2,-5)
90 cw is the same as 270 counterclockwise.
Rule (y,-x) A' (0,0) B' (-2,-4) C' (-5, -2)
400
Combination/Sequence/Composition Meaning?
They all mean the same thing and that is 2 or more transformations.
500
What does congruent mean? Which transformations are congruent?
Preserve same size and shape.
Translation, Reflection, Rotation are Congruent.
500
Given x+5 find D'?
D' is (2,0)
500
A (2,6) B(8,-6) C (-4,0) Reflect about x=-1
A' (-4,6) B' (-10,-6) C' (-9,0)
500
(5,1) rotated 90 degrees ccw. Rule? and Image?
Rule (-y,x) and Image (-1,5)
500
A= (-3,-4) Translate (x+4,y-5) then Reflect along Y.
A' (1, -9) then A'' (-1,-9)
600
Create the Rule: down 4 and right 5
x+5,y-4
600
A (-2,-3) then A' (-6,-8) what is the translation rule?
Rule: [x-4, y-5]
600
A=(2,-7) Reflect along x axis then Reflect along Y axis.
A' (2,7) then A'' (-2,7)
600
A(1,4) B (2,3) C (3,6) Rotate 180 find B'?
B' (-2,-3)
600
A=(-2,3) Rotate 90 CCW then Reflect along X axis.
A' (-3,-2) then A'' (-3,2)