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XYZ is reflected across the line x = 3. What is the reflection image of Y?

XYZ is reflected across the line x = 3. What is the reflection image of Y?-example-1
User Sherleen
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The answer is (5,2). Hope this helps. If you have any more questions, feel free to message me. :)
User Nluk
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Answer: The correct option is (C) (5, 2).

Step-by-step explanation: Given that the triangle XYZ is reflected across the line x = 3.

We are to select the reflection image of Y.

From the graph, we note that the co-ordinates of the vertex Y are (1, 2).

We know that

if a point (x, y) is reflected across the line x = k, then the co-ordinates changes to (2k - x ,y).

For the given reflection, k = 3.

Therefore, the co-ordinates of the reflection image of Y will be

(1, 2) ⇒ (2 × 3 - 1, 2) = (5, 2).

Thus, the reflection image of Y is (5, 2).

Option (C) is CORRECT.

User Abhijeet Navgire
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