Answer:
Answer: The correct option is (A) O' (−2, −2); Y' (0, 0).
Step-by-step explanation: Given that the co-ordinates of the vertices of ΔTOY are T(−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1).
We are to find the co-ordinates of the points O' and Y'.
The given transformation from T to T' is
T(−3, 4) ⇒ T' (−1, 1).
Let, (−3 + x, 4 + y) = (-1, 1).
So,
and
That is, the transformation rule is
(a, b) ⇒ (a+2, b-3).
Therefore,
co-ordinates of O' are (-4+2, 1-3) = (-2, -2),
and
co-ordinates of Y' are (-2+2, 3-3) = (0, 0).
Thus, the required co-ordinates of O' and Y' are (-2, -2) and (0, 0) respectively.
Option (A) is correct.
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