Transformations
A transformation that involves moving a preimage
Translation
ABC --> A'B'C. If AB = 22 inches, what is the length of A'B'?
22 inches
A preimage has the following rule: (x, y) --> (x-2, y+4). If A(2, 7), what are the coordinates of A'?
2
22
A transformation that involves flipping a preimage
Reflection
ABCD --> A'B'C'D'. If BC = 10 meters, what is the length of B'C'?
10 meters
A preimage has the following rule: (x, y) --> (x, y-3). If Q(11, 14), what are the coordinates of Q'?
(11, 11)
If g(x) = 11x + 7, what is the slope of a line parallel to g(x)?
11
If <R and <T are corresponding angles of a parallel/transversal system and <T = 107 degrees, what is the measure of <R?
107
A transformation that involves spinning a preimage
rotation
What are two objects that are the same size called?
congruent
A preimage has the following rules applied: (x, y)-->(x+1, y-3), then (x, y)-->(x-7, y+2). If L(9, 13), what are the coordinates of L''?
(3, 12)
If h(x) = -4/5 x + 2, what is the slope of a line parallel to h(x)?
<1 and <2 are same-side interior angles of a parallel-transversal system. If m<1 = 81 degrees, what is m<2?
The 3 rigid transformations
translation, reflection, rotation
A preimage has 3 rigid transformations applied to. If AB = 9 feet, what is A'''B'''?
9 feet
A preimage has B(21, 19). If B'(17, 1), what is the rule?
(x,y)-->(x-4, y-18)
If line k has the equation 19x - 4y = 1, what is the slope of a line parallel to k?
19/4
22
A non-rigid transformation that involves stretching or shrinking a preimage
dilation
A transformation has had two translations applied to it. If A'B' is located at the top of the image, where is AB located?
top of the preimge
A preimage has the following rule applied: (x, y)-->(x - 7, y + 1). If B'(9, 0), what are the coordinates of B?
(16, -1)
If line p has the equation -7y - 3x + 21 = 0, what is the slope of a line parallel to p?
-3/7
<D and <E are same-side exterior angles. m<D = 107 degrees. <F is supplementary to <E. What is m<F?
107