Name:_________________________
Geometry B
4-3 Translations, Rotations, Reflections
Graph the image of the figure using the transformation given.
1) reflection across y = −2
U(0, −4), D(0, −1), I(4, −4)
3) reflection across x = −1
Q(−3, 1), R(−2, 3), V(1, −1)
2) reflection across x = 1
X(2, 1), Q(3, 3), B(4, 2)
y
y
y
x
x
x
4) translation: ( x, y) → ( x, y + 3)
Z(1, −4), Y(2, 1), L(3, −2)
6) translation: ( x, y) → ( x + 5, y − 4)
R(−3, 3), I(0, 4), Q(−2, 2)
5) rotation 180° about the origin
T(−4, 3), R(0, 5), N(−1, 3)
y
y
y
x
7) translation: ( x, y) → ( x + 4, y + 3) 8) rotation 180° about the origin
V(−4, 3), C(−2, 5), R(1, 2)
X(−4, −5), C(−1, −2), G(−1, −5)
9) rotation 180° about the origin
X(2, 0), K(2, 2), Y(3, 3)
y
y
x
x
x
y
x
x
10) rotation 180° about the origin
F(−5, 1), C(−5, 4), L(−2, 4)
12) translation: ( x, y) → ( x − 4, y + 4)
F(0, −3), W(2, 0), M(5, −2)
11) reflection across the y-axis
K(−3, 2), H(−3, 4), P(2, 2)
y
y
y
x
13) translation: ( x, y) → ( x − 6, y − 1)
C(1, 4), S(2, 5), Y(3, 3)
x
x
15) translation: ( x, y) → ( x + 3, y)
Q(−3, −4), W(−2, −1), K(0, −3)
14) reflection across y = −4
I(2, −4), S(3, −3), U(3, −4)
y
y
y
18) reflection across y = −2
L(−1, −3), N(2, −2), J(3, −4)
17) reflection across the y-axis
T(−3, 2), G(−3, 5), C(−1, 4)
16) reflection across the y-axis
P(−2, −4), D(1, −3), J(3, −5)
y
y
y
x
x
x
x
x
x
Worksheet by Kuta Software LLC