Congruent shapes are the same size and shape. True or False?
True
The word that describes translating.
Slide
The word that describes a rotation.
turn
This word is another way of saying reflecting
Flip/Mirror
This rule describe translating up 6 units.
(x, y+6)
What is the translation rule for GWE (black) to G'W'E' (red)? Give the words AND the coordinate notation.
1 unit right 2 units down; (x + 1, y - 2)
Which transformations don't change orientation?
translations
Adding to the x-coordinate moves a figure in this direction.
to the right
If both coordinates change signs what transformation occurred?
180 degree rotation
This coordinate stays the same when a figure is reflected over the y-axis.
the y-coordinate.
What transformation does this transformation rule apply to: (x, - y)?
reflection over the x-axis
What is the transformation shown for FGX (black) to F'G'X' (blue)?
reflection over the y-axis
The picture below shows this type of transformation from ABC (blue) to A'B'C' (red):
Rotation
If (1, 6) is translated to the left 3 and down 1, what are the new coordinates?
(-2, 5)
The segment below has been rotated 90o in what direction (pre-image-green-->image-purple?
counterclockwise
This coordinate changes when a figure is reflected over the x-axis.
the y-coordinate
If (1,5) becomes (3,0) what is the transformation rule?
(x + 2, y - 5)
Which image depicts a reflection of * across the y-axis?
D
This notation (symbol) is how we indicate the figure from the image.
prime mark (A')
Algebraically, what happens to the coordinates if a figure translates left and up?
subtract from the x-coordinate and add to the y-coordinate
What is the coordinate of M' after the figure below is rotated 180o clockwise, if M(6,6)?
(-6, -6)
The figure has been reflected over this line. LMN (green), L'M'N' (black)
the x-axis
This rule describes rotating 270o clockwise.
(-y, x)
Which rigid transformation takes WKUG (gray) to W'K'U'G' (red)?
a 90-degree clockwise/270-degree counterclockwise rotation
Which figure, ABC (red) or A'B'C' (blue), is the image in the following reflection:
A'B'C' (blue)
In words, what is the translation rule from A(1,4) to A'(-1,6)?
left two units, up two units
(x-2, y+2)
This clockwise rotation is the same as rotating 90o counterclockwise.
270o clockwise
If my figure is in Quadrant I and I perform a reflection over the x-axis, what Quadrant will it end up in?
Quadrant IV
(- y, x) is a description of rotating 270o counterclockwise and rotating 90o clockwise. True or False?
False
If triangle * is rotated 90-degrees counterclockwise about the origin, which figure is the image after the transformation?
Figure B
Name the rigid transformations.
translation, reflection, rotations
This is the algebraic rule of a translation that moves a figure 2 units left and 3 units up.
(x, y) → (x − 2, y + 3)
The counterclockwise measure of the angle of rotation of ABCD about the origin.
270 degrees
If a figure is in Quadrant I and it is reflected over the y-axis, what Quadrant will it end up in?
Quadrant II
What is the transformation of JLSF (black) to J'L'S'F' (blue)? *Direction and Degrees*
rotation 90 degrees counterclockwise/270 degrees clockwise
If triangle * is is the image after being rotated 180 degrees, which figure is the pre-image?
Figure C
What stays the same when we perform a rigid transformation? What changes?
Same - Size (side lengths) and shape (angle measures)
Different - Position/Location/Coordinates
What happens to a figure with the following translation (x,y) -> (x-4,y+0)?
the figure moves 4 units to the left
What would be the transformation in the illustration from ABC (green) to A'B'C' (red)?
180 degree rotation
What reflection would I have to perform to make the word MOM turn into WOW? What about MOM turn into MOM?
Wow - Reflection over the x-axis
Mom - Reflection over the y-axis
What is the transformation and coordinate rule for the transformation of QSZ (black) to Q'S'Z' (blue)?
Reflection across the y-axis; (𝑥, 𝑦) → (−𝑥,𝑦)
What two transformations, with the rules, have occurred to ABC to go to A''B''C''?
a reflection across the x-axis and then a translation 10 units right and 2 units up.