Translations
A translation is when you do this to a figure.
Slide or move in a single direction or combination of directions.
A reflection is when you do this to a figure.
Flip
A rotation is when you do this to a figure.
Turn
A dilation is when you do this to a figure.
Enlarge or shrink
Translations, Reflections, and Rotations are all examples of ___________ transformations, which means the pre-image and image stay congruent.
Rigid
Find the new coordinates of (4,8) if you translate the point three units left and 4 units up.
(1,12)
Find the new coordinates of (3,-2) after you reflect the point over the y-axis.
(-3, -2)
Find the new coordinates of (-5,4) after you rotate the point with 180º.
(5, -4)
Find the new coordinates of (6,-2) if you dilate the point with a scale factor of 1/2.
(3, -1)
A ______________ is not a rigid transformation.
Dilation
Find the coordinates of L' after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
(6, -1)
Find the coordinates of M' after a reflection across the y-axis L(0,3) M(6,4) N(3,9)
(-6, 4)
Rotating 90 degrees clockwise is the same thing as rotating ___________ degrees counterclockwise.
270
Write the notation of point (x,y) after it is dilated by a scale factor of 4 about the origin.
(x,y) ----> ( , )
(4x, 4y)
When each of the rigid transformations are performed, corresponding sides and corresponding angles are always _____________.
Equal or congruent
(x,y) --> (x + 8, y - 4)
This rule means you move the pre-image point 8 units _________ and then 4 units _________.
right, down
(x,y) --> (x, -y)
This rule means that you reflect across the ___________
x-axis
Find the new coordinates of (-5,4) after you rotate the point with 90º clockwise.
(4, 5)
A figure is shrunk/reduced by a scale factor of K, where K is a real number. The value of K must be between ________ and ________
0 and 1
2, 1
Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
(x,y) ----> ( , )
(x-3, y+7)
Write the notation of point (x,y) after it gets reflected across the x-axis and then the y-axis
(x,y) ----> ( , )
(-x, -y)
Write the notation of point (x,y) after it rotates 90 degrees counterclockwise about the origin.
(x,y) ----> ( , )
(-y, x)
Figure A is dilated by scale factor K to form Figure B. Figures A and B must be _______________.
Similar
A reflection across the x-axis followed by a reflection across the y-axis is the same thing as a single rotation of ________ degrees about the origin.
180