5.4 Sequence of Transformations (Due 1/29/25)

Last updated 8 months ago

8 questions

Essential Question:
How do different transformations, when applied in sequence, affect the shape, size, and position of a geometric figure?

Learning Target:
Students will be able to apply a sequence of transformations, including translations, rotations, and reflections, to a geometric figure and describe their combined effect on its position and orientation.

Complete the entire document and use full sentences when prompted for full credit. Responses without work will receive no points.

Triangle ABC with vertices A(-3, 7), B(-2, 1), and C(-5, 2):
    
a) reflection in the x-axis
A'_______ 
B'_______ 
C'_______ 
b) translation along the rule (x, y) → (x + 9, y + 2)
A''_______ 
B''_______ 
C''_______ 

Required

Triangle ABC with vertices A(-3, 7), B(-2, 1), and C(-5, 2): 
   
a) rotate 270° counterclockwise about the origin
A'_______ 
B'_______ 
C'_______ 

 b) reflect on the line y=x
A''_______ 
B''_______ 
C''_______ 

Required

Triangle GHI with vertices G(-1, 6), H(-1, 3), and I(-6, 6):
a) translation along the vector <-2, -5>
G'_______ 
H'_______ 
I'_______ 

b) reflection in the line y-axis
G''_______ 
H''_______ 
I''_______ 

Required

Rhombus PQRS with vertices P(-1, -3), Q(3, -4), R(4, -8), and S(0, -7):
a) translation along the vector <4,10>
P'_______ 
Q'_______ 
R'_______ 
S'_______ 
b) 90° counterclockwise rotation about the origin
P''_______ 
Q''_______ 
R''_______ 
S''_______ 

Required

Parallelogram CDEF with vertices C(2, -1), D(7, 1), E(6, -2), and F(1, -4):
a) reflection in the line y = x
C'_______
D'_______
E'_______
F'_______ 
b) translated along the rule (x, y) → (x – 3, y – 7)
C''_______ 
D''_______ 
E''_______
F''_______ 

Required

Triangle LMN with vertices L(0, 3), M(3, 4), and N(1, 2):
a) 180° rotation about the origin
L'_______
M'_______
N'_______ 

b) reflection in the line y = -x
L''_______
M''_______ 
N''_______ 

 

Required

Triangle LMN with vertices L(-5, 7), M(8, 3), and N(-3, -1):
a) translated by the vector <-2, -4>
L'_______
M'_______
N'_______ 

b) 180° rotation about the origin
L''_______
M''_______ 
N''_______ 

 

Required

Square CDEF with vertices C(-5, 4), D(2, 8), E(6, 1), and F(-1, -3):
a) reflection on the y-axis
C'_______
D'_______
E'_______
F'_______ 
b) rotation 90° counterclockwise
C''_______ 
D''_______ 
E''_______
F''_______ 