4.8 Writing Motion Rules for Rigid Motions in the Coordinate Plane..notebook
November 17, 2015
4.8 Writing Motions Rules for Rigid Motion in the Coordinate Plane
I CAN...
Determine the coordinates of a figure after a transformation.
Write Motion Rules for Rigid Motion in the Coordinate Plane. Jul 30­10:36 AM
Reflections in the Coordinate Plane
Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, –1), and D(2, –3). What are the coordinates of A'B'C'D' after a reflection over the y‐axis?
A(1,1) ⇒ A'( , )
B(3,2) ⇒ B'( , )
C(4,­1) ⇒ C'( , )
D(2,­3) ⇒ D'( , )
What is the motion rule for a reflection over the y­axis?
Jul 30­10:36 AM
Translations in the Coordinate Plane
Write the motion rule that moves AB with endpoints A(2, 4) and B(–1, –3) to A'B' with endpoints A'(5, 2) and B'(2, –5).
Reflections in the Coordinate Plane
Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, –1), and D(2, –3). What are the coordinates of A'B'C'D' after a reflection over the x‐axis?
A(1,1) ⇒ A'( , )
B(3,2) ⇒ B'( , )
C(4,­1) ⇒ C'( , )
D(2,­3) ⇒ D'( , )
What is the motion rule for a reflection over the x­axis?
Jul 30­10:36 AM
Reflections in the Coordinate Plane
Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, –1), and D(2, –3). What are the coordinates of A'B'C'D' after a reflection over the line y = x? A(1,1) ⇒ A'( , )
B(3,2) ⇒ B'( , )
C(4,­1) ⇒ C'( , )
D(2,­3) ⇒ D'( , )
What is the motion rule for a reflection over the line y = x?
Jul 30­10:36 AM
Rotations in the Coordinate Plane
Trapezoid LMNO has vertices L(2, 1), M(5, 1), N(1, –5), and O(0, –2). Find the coordinates of L'M'N'O' after a 90 counterclockwise rotation.
L(2, 1) ⇒ L'( , )
M(5, 1) ⇒ M'( , )
N(1, ­5) ⇒ N'( , )
What is the translation vector?
Jul 30­10:36 AM
O(0, ­2) ⇒ O'( , )
Jul 30­10:36 AM
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4.8 Writing Motion Rules for Rigid Motions in the Coordinate Plane..notebook
November 17, 2015
Composite Transformations in the Coordinate Plane
Composite Transformations in the Coordinate Plane
Δ ABC has vertices A(-5,-1), B(-6,-4), C(-2,-4).
Translate along <-3,-3> and then reflect over the
x-axis.
A(­5, ­1)⇒A'( , )⇒A''(
, )
A(­4, 5)⇒A'(
B(­6, ­4)⇒B'(
,
)⇒B''(
B(3, 2)⇒B'(
,
)⇒B''(
,
)
C(­2, ­4)⇒C'(
,
)⇒C''(
C(1, 5)⇒C'(
,
)⇒C''(
,
)
,
)
,
)
Jul 30­10:36 AM
Δ ABC has vertices A(-4,5), B(3,2), C(1,5). Translate
along <-2,-5> and rotate 90o counterclockwise.
,
)⇒A''(
,
)
Jul 30­10:36 AM
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