A translation has the rule (x, y,) ------> (x + 4, y - 7)
Describe the rule in a sentence. How many units are you moving, and in what direction(s)?
4 units to the right, and 7 units down.
What is the rule for any 90 degree rotation
1. switch x and y
2. pay attention to which direction
3. figure out what quadrant you're in to determine positive or negative
Reflect the point (2, 1) across the y-axis. What are the coordinates?
(-2, 1)
What transformations take Triangle A to Triangle C?
Reflection over y-axis
Reflection over x-axis
The graph depicts a rigid transformation. What is that transformation? What happens to x and y?
translation 1 unit right 2 units down
(x,y)->(x+1,y-2)
Adding to the x-coordinate moves a figure in what direction?
the right
Rotate (-8,7) 90 degrees counter clockwise. What are the coordinates?
(-7,-8)
This is the rule for the given transformation.
What is reflection across the y-axis (𝑥, 𝑦) → (−𝑥,𝑦)
What sequence of transformations takes you from shape 1 to shape 3?
1. 90 degree C.C.W. rotation around the top left corner
2. Reflection
The given graph depicts a rigid transformation.
reflection across the y-axis
This is the image coordinate pair when the original at (1, 6) is translated to the left 3 and down 1.
(-2, 5)
The segment below has been rotated 90o in this direction.
What is counter clockwise?
This coordinate changes when a figure is reflected over the x-axis. *hint: is it x or y?
the y-coordinate
What sequence of transformations takes you from SRQPT to S"R"Q"P"T"?
Rotate 90 degrees C.W.
Reflect across x-axis
This image shows a Reflection of figure * across the y-axis.
What is D?
Translate the point (3, 2) up 4 units and left 8 units. What are the coordinates?
(-5, 6)
What is the coordinate M' after the figure below is rotated 180o clockwise.
(-6, -6)
The figure has been reflected over this line.
the x-axis
True or false: After doing a sequence of transformations, the figure might change in size or shape.
FALSE
The given graph depicts a rigid transformation.
90-degree clockwise rotation about the origin
How much did the shape translate?
left two units, up two units
This clockwise rotation is the same as rotating 90o counterclockwise.
What is 270o clockwise?
This is the coordinate A' after the figure below has been reflected over the given line.
(6, 1)
What is the sequence of transformations that takes ABC to A"B"C"?
Reflection across y-axis
Translation down 5 and left 2
The given graph depicts rigid transformations of the pre-image *. This triangle represents a Rotations of * 90-degrees counterclockwise about the origin.
Figure B
This is the algebraic representation of a translation that moves a figure 2 units left and 3 units up.
(x, y) → (x − 2, y + 3)
The measure of the angle of rotation of ABCD about the origin.
270 degrees CCW or 90 CW
The rule for the given rigid transformation.
Reflection across y=1
Rectangle ABCD is reflected over the x-axis and translated 10 units left. Name the coordinates of rectangle A"B"C"D".
A(2,5)
B(7,5)
C(7,2)
D(2,2)
A"(-8, -5)
B"(-3, -5)
C"(-3, -2)
D"(-8, -2)
The given graph represents transformations of the pre-image *. This figure depicts a Rotation of the * clockwise 180 degrees about the origin.
figure C