Question

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

Answer 1

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.

Answer 2

The answer is (5,2). Hope this helps. If you have any more questions, feel free to message me. :)