Rotations, reflections, translations are all types of...?
transformations
Adding to the x-coordinate moves a figure in this direction.
to the right
If both coordinates change signs what transformation occurred? (-x,-y)
180 degree rotation
This rule describe translating up 6 units.
(x, y+6)
Point B is in which quadrant?
Which type of transformation doesn't change orientation?
translation
The segment below has been rotated 90o in what direction?
counter clockwise
This is the algebraic rule of a translation that moves a figure 2 units left and 3 units up.
(x, y) → (x − 2, y + 3)
Describe this transformation rule: (x, y) maps to (x,-y)
reflection over the x-axis
State the coordinates of Points A, E, and F
A(-4, 3), E(4, -2), F(0, -3)
What is another name for a coordinate with the form (x,y)?
An ordered pair
The figure has been reflected over this line.
the x-axis
This coordinate stays the same when a figure is reflected over the y-axis.
the y-coordinate.
This is the rule for the following transformation
rotation 90 degree counterclockwise about the origin
(𝑥, 𝑦) → (−𝑦,𝑥)
Find the value of y for the equation
y=2-x for x=-2
y=4
This notation (symbol) is how we indicate the figure from the image. *If A is the pre-image, what would the image be?*
A prime
The given graph depicts a rigid transformation.
What is a reflection in the y-axis?
This clockwise rotation is the same as rotating 90o counterclockwise.
270o clockwise
What is the rule for the given transformation.
Reflection across the y-axis (𝑥, 𝑦) → (−𝑥,𝑦)
Write the equation: "for each point on a line, the y-coordinate is 4 less than the x-coordinate"
y=x-4
The name given to the transformed figure or point.
the image
This coordinate changes when a figure is reflected over the x-axis.
the y-coordinate
What is the rotation from pre image to image?
90 degrees clockwise or 270 degree counter clockwise.
(x,y) maps to (-x,-y)
Rotation of 180 degrees about (0,0)
Describe the equation: y=2x+1