Reflections #2
• An operation that maps an original figure called the __________________
onto a new figure called the ___________________.
• A transformation can change the _____________, _____________________,
or ________________ of a figure.
Reflection
B
• A ___________ over a line called the _________ ______ ___________________.
• Each point and its image are the __________ _________________ from the
line of reflection.
B’
A
A’
C
C’
• Possible lines of reflection:
_____- __________ or _____- __________
Other lines of reflection will be explored in Geometry.
Practice! Graph and label each figure and its image under the given reflection. Give the new coordinates.
1. Triangle ABC with vertices A(-4, 2), B(4, 7), and 2. Rectangle PQRS with vertices P(1, 2), Q(2, 5),
across
the y-axis.
across
y-axis.
C(5, 1) in
the xthe
-axis.
R(8, 3), and S(7, 0) in
the y-axis.
(x, y) ( _____ , _____ ).
(x, y) ( _____ , _____ ).
P’ (____, ____)
A’ (____, ____)
Q’ (____, ____)
B’ (____, ____)
R’ (____, ____)
C’ (____, ____)
S’ (____, ____)
3. Trapezoid FGHI with vertices F(-5, -2),
4. Rhombus WXYZ with vertices W(-2, -4),
across
G(-2, -2), H(0, -6), and I(-8, -6) across the x-axis.
X(1, -2), Y(4, -4), and Z(1, -6) in
the x the x-axis.
(x, y) ( _____ , _____ ).
(x, y) ( _____ , _____ ).
F’ (____, ____)
W’ (____, ____)
G’ (____, ____)
X’ (____, ____)
H’ (____, ____)
Y’ (____, ____)
I’ (____, ____)
Z’ (____, ____)
5. Triangle JKL with vertices J(1, -1), K(2, 3), and
across
thexy-axis.
L(3, -2) in
the line
= 4.
(x, y) ( _____ , _____ ).
6. Square RSTU with vertices R(0, 3), S(5, 4),
across
thexx-axis.
T(6, -1), and U(1, -2) in
the line
= -1.
(x, y) ( _____ , _____ ).
R’ (____, ____)
J’ (____, ____)
S’ (____, ____)
K’ (____, ____)
T’ (____, ____)
L’ (____, ____)
U’ (____, ____)
7. Parallelogram CDEF with vertices C(-4, -4),
across
theyy-axis.
D(-2, 0), E(6, 1), and F(4, -3) in
the line
= 2.
(x, y) ( _____ , _____ ).
8. Triangle MNP with vertices M(-6, -8), N(-1, -6),
across
theyx-axis.
and P(-2, -8) in
the line
= -5.
(x, y) ( _____ , _____ ).
C’ (____, ____)
D’ (____, ____)
M’ (____, ____)
E’ (____, ____)
N’ (____, ____)
F’ (____, ____)
P’ (____, ____)
9. Triangle XYZ with vertices X(-5, -2), Y(-3, 4),
across
theyx-axis.
and Z(-1, 1) in
the line
= x.
(x, y) ( _____ , _____ ).
10. Rectangle GHIJ with vertices G(2, -1), H(7, -1),
across
theyy-axis.
I(7, -4), and J(2, -4) in
the line
= x.
(x, y) ( _____ , _____ ).
G’ (____, ____)
X’ (____, ____)
H’ (____, ____)
Y’ (____, ____)
I’ (____, ____)
Z’ (____, ____)
J’ (____, ____)
11. Square ABCD with vertices A(-1, 3), B(0, 6),
across
theyx-axis.
C(3, 5), and D(2, 2) in
the line
= -x.
(x, y) ( _____ , _____ ).
12. Triangle STU with vertices S(-1, -6), T(0, -3),
across
theyy-axis.
and U(3, -4) in
the line
= -x.
(x, y) ( _____ , _____ ).
A’ (____, ____)
B’ (____, ____)
S’ (____, ____)
C’ (____, ____)
T’ (____, ____)
D’ (____, ____)
U’ (____, ____)