ΔQRS’ is a translation of ΔQRS. Write the translation rule.
(x, y) ↦
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ΔQRS’ is a translation of ΔQRS. Write the translation rule.
(x, y) ↦
To express the translation rule for triangle ΔQRS to triangle ΔQRS’, we need to determine how the coordinates of each point are modified during the translation.
The translation can be represented as:
[
(x, y) rightarrow (x + a, y + b)
]
Here, (a) and (b) are the horizontal and vertical shifts, respectively.
For example, if the triangle is moved 3 units to the right and 2 units up, the translation rule would be:
[
(x, y) rightarrow (x + 3, y + 2)
]
This means that each point of triangle ΔQRS is shifted by adding 3 to the x-coordinate and 2 to the y-coordinate to get the corresponding points in triangle ΔQRS’.
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