5.4 Sequence of Transformations (Due 3-1-24)

Last updated 12 months ago

8 questions

Note from the author:

Essential Question: What happens when you apply more than one transformation to a figure?

Learning Target: Students will be able to apply a sequence of transformations on a figure after completing this assignment.

Use complete sentences for credit.

Complete the entire document and show work for full credit.

Instructions

Essential Question: What happens when you apply more than one transformation to a figure?

Learning Target: Students will be able to apply a sequence of transformations on a figure after completing this assignment.

Use complete sentences for credit.

Complete the entire document and show work for full credit.

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''_______ 