Translate & Reflect
Point A(5, -2) is reflected over the x-axis, then translated 4 units left. What is A''?
A'(5, 2) then A''(1, 2)
Point G(1, 4) is rotated 90 degrees clockwise about the origin, then translated 2 units right. What is G''?
G'(4, -1) then G''(6, -1)
Point Q(-6, -4) is rotated 180 degrees about the origin, then reflected over the x-axis. What is Q''?
Q'(6, 4) then Q''(6, -4)
Point W(4, 8) is dilated by a scale factor of 0.50, then translated 3 units up. What is W''?
W'(2, 4) then W''(2, 7)
Point B(-1, 6) is translated by (x+3, y-1), then reflected over the y-axis. What is B''?
B'(2, 5) then B''(-2, 5)
Point H(-3, -5) is translated by (x, y+6), then rotated 180 degrees about the origin. What is H''?
H'(-3, 1) then H''(3, -1)
Point R(2, 5) is reflected over the y-axis, then rotated 90 degrees counterclockwise about the origin. What is R''?
R'(-2, 5) then R''(-5, -2)
Point X(-1, 3) is dilated by a scale factor of 4, then reflected over the x-axis. What is X''?
X'(-4, 12) then X''(-4, -12)
Triangle C(2, 4), D(5, 1), E(2, 1) is reflected over the y-axis, then translated up 3 units and right 2 units. What are the final coordinates?
C''(0, 7), D''(-3, 4), E''(-0, 4)
Triangle J(1, 1), K(3, 1), L(2, 3) is translated by (-1, -4) and then rotated 90 degrees counterclockwise. What are the final coordinates?
J''(3, 0), K''(3, 2), L''(1, 1)
A figure at S(0, 0), T(1, 2), U(3, 1) is reflected over the line y=-x, then translated 4 units right. What is U''?
U'(-1, -3) then U''(-1+4, -3) = U''(3, -3)
Triangle Y(10, -5), Z(5, 5), A(0, 0) is dilated by a scale factor of 0.25, then rotated 90 degrees counterclockwise. What is Y''?
Y'(2.5, -1.25) then Y''(1.25, 2.5)
Describe the single transformation that is equivalent to a reflection over the x-axis followed by a reflection over the y-axis.
A 180° rotation (about the origin).
What is the final image of M(5, 0) after a rotation of 90 degrees clockwise followed by a rotation of 180 degrees about the origin?
M''(0, -5) (equivalent to a single 270 degrees CCW rotation).
Describe the sequence that takes A(2, 3) to A'(-2, 3), and then takes A'(-2, 3) to A''(-2, -3).
A Reflection over the y-axis, followed by a Reflection over the x-axis.
Point B(2, 6) is reflected over the y-axis, then dilated by a scale factor of 3. What is B''?
B'(-2, 6) then B''(-6, 18)
A figure with F(-3, 1) is reflected over the line y=x, and then translated 5 units down. What is F''?
F'(1, -3) then F''(1, -8)
Point P(-4, -1) is translated 3 units right and 4 units up, then rotated 270 degrees clockwise about the origin. What is P''?
P'(-1, 3) then P''(-3, -1)
Point V(5, -1) is reflected over the x-axis, then rotated 90 degrees clockwise about the origin, then translated 1 unit left. What is V'''?
V'(5, 1) to V''(1, -5) to V'''(0, -5)
A figure at C(2, 3) is dilated by a factor of 2, then rotated 180 degrees about the origin, then translated 2 units left. What is C'''?
C'(4, 6) to C''(-4, -6) to C'''(-6, -6)