Non-Rigid Transformations
Rigid Transformations
Algebraic Descriptions
Can you move it, move it?
100
Described as an enlargement or a reduction.
What is a dilation?
100
A sliding motion across the coordinate plane.
What is a translation?
100
(x+k, y+k)
What is translation?
100
Name the sequence of transformations.
What is a reflection across the y-axis and 90 degrees counterclockwise rotation?
200
Preserves angle measure and shape.
What is a dilation?
200
Described as a turn on the coordinate plane.
What is a rotation?
200
(kx, ky)
What is dilation?
200
(𝑥, 𝑦)→(𝑥 + 10, 𝑦 − 4) Label as 𝐵′𝑋′𝐻′𝐾′.
(𝑥, 𝑦)→(𝑥, −𝑦) Label as 𝐵′′𝑋′′𝐻′′𝐾′′.
Name the sequence of transformations.
What is a translation (move 10 units to the right, 4 units down) and a reflection across the x-axis?
300
What is triangle ABC and A'B'C' will have equal angle measures, but different side lengths?
300
Described as a flip on the coordinate plane.
What is a reflection?
300
The rule is
(x,y) --> (-y,x)
What is 90 degrees counterclockwise rotation?
What is 270 degrees clockwise rotation?
300
This symbol distinguishes pre-image from new image.
What is prime?
400
What is the measure of the angles will stay the same, but the measures of the side lengths will increase?
400
Rigid-motions preserve these three things
What is angle measure, distance (size), and shape?
400
(x,y) --> (y,x)
What is a reflection across y=x?
400
List the sequence.
(𝑥, 𝑦)→(𝑥 − 22, 𝑦 + 9)
(𝑥, 𝑦)→(−𝑥, 𝑦)
(𝑥, 𝑦)→(−𝑥, −𝑦)
What is translation (22 to the left and 9 up), a reflection over the y-axis, and a 180 rotation?
500
Pre-image has been made into a new image with using algebraic description (0.5x, 0.5y).
What is a reduction?
500
These three transformations are considered rigid motions
What are translations, rotations, and reflections?
500
A change of pre-image to image with the algebraic description of (1.5x,1.5y).
What is an enlargement?
500
List the sequence:
(𝑥, 𝑦)→(−𝑥, 𝑦)
(𝑥, 𝑦)→(−𝑦, 𝑥)
(𝑥, 𝑦)→(𝑥 + 4, 𝑦 − 1)
What is a reflection over the y-axis, reflection over y=-x, and a translation 4 units to the right and 1 unit down?