Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.
What is transformations?
What is the algebraic rule that moves every point 8 units right and 3 units down?
What is (x + 8, y – 3)?
Reflecting a figure flips it over this.
What is the line of reflection?
Name the three transformations that preserve congruence.
What are translations, reflections, and rotations?
Which property of a figure stays the same after a translation: orientation, congruence, or both?
What is both?
What is the algebraic rule when reflecting over the y-axis?
(x, y) → (-x, y)
This number tells how much a figure grows or shrinks in a dilation.
What is the scale factor?
This transformation creates similar figures but NOT congruent figures.
What is a dilation?
Point P(7, –4) becomes P′(–1, 6). What translation took place?
What is (x, y) → (x-8, y+10)
A point goes from (5, –7) to (5, 7). What reflection occurred?
What is reflection over the x-axis?
What is the algebraic rule for a rotation clockwise of 90 degrees.
What is (x, y)-->(y, -x)
Determine the scale factor: B(2, 5) and B'(1, 2.5).
What is scale factor = 1/2?
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
What is M'(1, 1) and N'(2, -1)?
A point goes from (x, y) to (–x, y). Which axis did it reflect over?
What is the y-axis?
Figures that have the same angle measures but different side lengths are called this.
What are similar figures?
The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is (x, y)-->(x, y-4)?
If a point ends at (–7, –12) after reflecting over the x-axis, where did it start?
What is (–7, 12)?
Quinn increases both the length and width of a pool by a scale factor of 2. By what factor will the perimeter change?
What is by a factor of 2?