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.
Question 1
1.
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''_______
Question 2
2.
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''_______
Question 3
3.
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''_______
Question 4
4.
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''_______
Question 5
5.
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''_______
Question 6
6.
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''_______
Question 7
7.
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''_______
Question 8
8.
Square CDEF with vertices C(-5, 4), D(2, 8), E(6, 1), and F(-1, -3):