What transformation slides?
Translation
What are the coordinates of (-3,4) after translating
(x-2, y+4)
(-5,8)
What is the coordinate rule if an image is reflected across the y-axis?
(-x, y)
Make x opposite
What is the coordinate change rule for 90 degrees clockwise?
(y, -x)
False. for translations you add or subtract a movement so the numbers should be new numbers on either X or Y
What is the original figure called?
Preimage
Translate B (3,1)
x-2, y + 1
B' (1, 2)
When reflecting a point over the x-axis, which coordinate remains the same?
x-coordinate
X(3, -1) Rotate 180 degrees clockwise.
X'(-3, 1)
T(5,2) is translated 5 to the left and 4 down. What are T' coordinates?
T'(0,-2)
What is the term for same shape and size?
Congruent
J(-3,4) is moved 2 units right and 5 units down, what are the coordinates of point J'
J' (-1, -1)
Reflect points (-6, -3) over the x-axis than the y-axis.
(-6, 3)
M(1,4) Rotate 90 degrees clockwise
M'(4, -1)
J(8,-4) is reflected across the x-axis. What is the new coordinate?
J'(8,4)
What is the formula we use to find a 900 counterclockwise rotation?
Hint: Write like this:
(x, y) -> (????)
(x,y) -> (-y,x)
Translate point (-4, -4) x + 3, y + 4
(-1, 0)
Reflect J(1,1), K(5,5), L(0,0) over the y-axis. What are the prime coordinates?
J'(-1,1), K(-5,5), L(0,0)
What are the two rotations with the coordinate change of (-y, x)?
90 degrees counterclockwise and 270 degrees clockwise
What will be the new position of the given point (3, –5) after reflection across the y-axis?
a) (3, 5) b) (–3, –5) c) (–3, 5) d) (3, –5)
b) (-3,-5)
Transformations regarding rotations can turn one of two directions. What is type of turn that goes around to the right?
Rotation Clockwise
The coordinates of triangle ABC are A(0,5), B(2,1), C(-4,-4). What are the A'B'C' coordinates after translating 8 units right and 5 units down?
A'(8,0), B'(10,-4), C'(4,-9)
Reflect D(2,8) over the x-axis. What quadrant will D' end up in?
Quadrant 4
What are the new coordinates and quadrant?
A(-5, 2) after a 90 counterclockwise rotation?
A'(-2, -5)
Quadrant 3
What will be the new position of the given point (1, –9) after rotating 90o counterclockwise about the origin?
a) (9, –1) b) (–9, 1) c) (–9, –1) d) (9, 1)
What is d) (9, 1)