Definitions
This is also known as a "slide"
Translation
Point A(1,1) is translated 7 units to the right. What are the coordinates of its image?
A'(8,1)
Point A(9,-10) is reflected over the x-axis. What are the coordinates of its image?
A'(9,+10)
Point A(-2,3) is rotated 180 degrees about the origin. What are the coordinates of its image?
A'(+2,-3)
This is also known as a "turn"
Rotation
Point B(-3,-4) is translated 5 units down. What are the coordinates of this image?
B'(-3,-9)
Point A(9,-10) is reflected over the y-axis. What are the coordinates of its image?
A'(-9,-10)
Point A(-2,3) is rotated 90 degrees counter clockwise about the origin. What are the coordinates of its image?
A'(-3,-2)
This is also know as a "flip"
Reflection
Point C(-3, 3) is translated 6 units to the right and 8 down. What are the coordinates of this image?
C'(3,-5)
Point B(-8,6) is reflected over the x-axis then reflected again over the y-axis. What are the coordinates of its image?
B'(8,-6)
Point A(-2,3) is rotated 90 degrees clockwise about the origin. What are the coordinates of its image?
A'(3,+2)
When a side is the same length to its corresponding side on a different figure, they are __________.
congruent
Translate triangle DEF 3 units left and 1 unit up. What are the coordinates of the image?
D'(-4,5), E'(-4,1), and F'(0,3)
Reflect the triangle JKL over the x-axis. What are the coordinates of the image?
J'(-4,3), K'(-1,4), and L'(-2,7)
Point A(-2,3) is rotated 270 degrees clockwise about the origin. Then translated 2 units left and 3 units up. What are the coordinates of its image?
A'(-5,1)
Translation, reflection, and rotation are examples of these.
Rigid motions
or
Transformations
Describe the translation below,
K(2,3) -> K'(5,-1)
Point K is translated 3 units to the right and 4 units down.
Describe the reflection below,
X(6,-7) -> X'(-6,-7)
Reflected over the y-axis.
Point A(-2,3) is rotated 90 degrees clockwise about the origin. Then reflect over the x-axis. What are the coordinates of its image?
A'(3,-2)