For the given figure with vertices H(17,34), I(-5,10), and J(28,-14) across the line y=x, the reflection will appear at H(34,17), I(10,-5), J(28,-14). This is because at y=x the reflection will have the coordinates with interchanged values.
Reflection at y=x:
Across y=x, the reflection will have interchanged coordinates.
that is (x, y) → (y, x)
For the given vertices across the line y=x,
H(17,34) → H'(34,17)
I(-5,10) → I'(10,-5)
J(28,-14) → J'(-14,28)
So, option (2) is correct that is H(34,17), I(10,-5), J(-14,28) which undergoes reflection across y=x.
Learn more about reflection here:
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