Geometric Translations Worksheet - Free Printable

Since the user has set all options (ExplainAnswer, TeachTopic, GeneratePractice) to false, I will provide only the Final Answer section with the correct translations for each problem.

But before that, let me work through each problem step by step to ensure accuracy:

Problem 1: Translation: 5 units right and 1 unit up
Original points: G(-4,0), T(-2,0), B(-4,-3)
After translation:
G' = (-4+5, 0+1) = (1,1)
T' = (-2+5, 0+1) = (3,1)
B' = (-4+5, -3+1) = (1,-2)

Problem 2: Translation: 1 unit left and 2 units up
Original points: X(-3,-2), Y(1,-2), Z(-3,1)
After translation:
X' = (-3-1, -2+2) = (-4,0)
Y' = (1-1, -2+2) = (0,0)
Z' = (-3-1, 1+2) = (-4,3)

Problem 3: Translation: 3 units down
Original points: G(0,2), X(3,1), C(0,-1)
After translation:
G' = (0, 2-3) = (0,-1)
X' = (3, 1-3) = (3,-2)
C' = (0, -1-3) = (0,-4)

Problem 4: Translation: 5 units right and 2 units up
Original points: A(-3,-1), B(-2,-2), C(-3,-3)
After translation:
A' = (-3+5, -1+2) = (2,1)
B' = (-2+5, -2+2) = (3,0)
C' = (-3+5, -3+2) = (2,-1)

Problem 5: Translation: 4 units right and 4 units down
Original points: J(-4,2), K(-1,1), L(-4,0)
After translation:
J' = (-4+4, 2-4) = (0,-2)
K' = (-1+4, 1-4) = (3,-3)
L' = (-4+4, 0-4) = (0,-4)

Problem 6: Translation: 2 units right and 3 units up
Original points: A(-3,-3), B(-2,-4), C(1,-3), D(0,-2)
After translation:
A' = (-3+2, -3+3) = (-1,0)
B' = (-2+2, -4+3) = (0,-1)
C' = (1+2, -3+3) = (3,0)
D' = (0+2, -2+3) = (2,1)

Final Answer:
1) G'(1,1), T'(3,1), B'(1,-2)
2) X'(-4,0), Y'(0,0), Z'(-4,3)
3) G'(0,-1), X'(3,-2), C'(0,-4)
4) A'(2,1), B'(3,0), C'(2,-1)
5) J'(0,-2), K'(3,-3), L'(0,-4)
6) A'(-1,0), B'(0,-1), C'(3,0), D'(2,1)