Transformations
This transformation is also known as a slide.
What is a translation?
Reflect the point (1, 3) across the x-axis.
(1, -3)
Translate the point (-2, -3) by (x, y) --> (x + 2, y - 1).
(0, -4)
Rotate the point (2, -1) 90 degrees clockwise around the origin.
(-1, -2)
Name the Artist
Now he's thinkin' 'bout me every night, oh
Is it that sweet? I guess so
Say you can't sleep, baby, I know
That's that me espresso
Sabrina Carpenter
This transformation is also called a flip.
What is a reflection?
Reflect the line segment from (-2, 1) to (-3, -3) across the y-axis.
(2, 1) to (3, -3)
Translate the line segment with endpoints at (1, -3) and (-2, 3) by (x, y) --> (x – 2, y – 2).
(-1, -5) to (-4, 1)
Rotate the line segment with endpoints at (3, -3) and (-2, 1) 90 degrees counterclockwise around the origin.
(3, 3) to (-1, -2)
Reflect the point (3, -2) across the x-axis and then translate it by (x, y) --> (x – 1, y +1).
(2, 3)
This transformation is also known as a turn.
What is a rotation?
Reflect the triangle with vertices at (3, -2), (-4, 3) and (-2, -2) across the x-axis.
(3, 2), (-4, -3) and (-2, 2)
Translate the triangle with vertices at (2, 3), (4, 3) and (-1, -2) by (x, y) --> (x + 2, y – 2).
(4, 1), (6, 1) and (1, -4)
Rotate the triangle with vertices at (0, 3), (2, -1) and (-1, -3) 180 degrees around the origin.
(0, -3), (-2, 1) and (1, 3)
Which artist is known for the hit song Hotline Bling?
B) Drake
Riding on an escalator is an example of this kind of transformation.
What is a translation?
Reflect the triangle with vertices at (0, 0), (2, 2) and (-1, -3) across the y-axis.
(0, 0), (-2, 2), and (1, -3)
Translate the triangle with vertices at (1, 1), (-2, 2) and (3, -1) by (x, y) --> (x + 4, y + 0).
(5, 1), (2, 2) and (7, -1)
Rotate the triangle with vertices at (0, 0), (-2, -3) and (1, 1) 90 degrees counterclockwise around the origin.
(0, 0), (3, -2) and (-1, 1)
What 1920s cultural movement celebrated Black art, music, and literature in New York?
A) The Civil Rights Movement
B) The Harlem Renaissance
C) The Black Arts Movement
D) The Freedom Summer
B) The Harlem Renaissance
This kind of transformation can be done around the origin or around another point.
What is a rotation?
Translate the triangle with vertices at (0, 2), (2, 0) and (-3, -3) two units down and four units right.
(4, 0), (6, -2) and (1, -5)
Rotate the triangle with vertices at (2, 0), (2, 3) and (0, 3) 180 degrees around the point (2, 0).
(2, 0), (2, -3) and (4, -3)
Reflect the point (-5, 1) across the x-axis, then translate the image by (x, y) (x + 1, y - 2), then rotate the new image by 90 degrees clockwise around the origin.
(-3, 4)