A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates A(1, –1). Bi-2), and C(2, –1) represent House A, House B, and House C. The planner decides to place a playground centered at the origin, and moves the houses to make space. House A is now located at A' (3, -4). What are the new coordinates of House B and House C when each house is moved using the same translation? House B: B'( House C: C'(OO)

Advanced Engineering Mathematics
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A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates \( A(1, -1) \), \( B(-1, -2) \), and \( C(2, -1) \) represent House A, House B, and House C. The planner decides to place a playground centered at the origin and moves the houses to make space. House A is now located at \( A'(3, -4) \). What are the new coordinates of House B and House C when each house is moved using the same translation?

House B: \( B'(\ \text{ },\ \text{ } ) \)

House C: \( C'(\ \text{ },\ \text{ } ) \)

Justify your answer.
Transcribed Image Text:A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates \( A(1, -1) \), \( B(-1, -2) \), and \( C(2, -1) \) represent House A, House B, and House C. The planner decides to place a playground centered at the origin and moves the houses to make space. House A is now located at \( A'(3, -4) \). What are the new coordinates of House B and House C when each house is moved using the same translation? House B: \( B'(\ \text{ },\ \text{ } ) \) House C: \( C'(\ \text{ },\ \text{ } ) \) Justify your answer.
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