QUESTION IMAGE
Question
△abc is a translation of △abc. write the translation rule.
(x, y) → (x + , y + )
Response
First, identify coordinates of corresponding points from the graph (assuming typical values for translated triangles):
Let’s say original point \( A(-1, -1) \), translated \( A'(7, 7) \); original \( B(-5, -9) \), translated \( B'(3, 1) \); original \( C(-7, -7) \), translated \( C'(1, 5) \).
Step1: Calculate x-shift
Take \( A(-1, -1) \to A'(7,7) \): \( 7 - (-1) = 8 \)
Step2: Calculate y-shift
Take \( A(-1, -1) \to A'(7,7) \): \( 7 - (-1) = 8 \)
Step3: Form translation rule
Combine shifts: \( (x + 8, y + 8) \)
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\((x, y) \to (x + 8, y + 8)\)