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Is it true that the image of a point (1,9) under a reflection across the y-axis is (1,-9)

User Teknova
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3 votes

Answer:

no

Explanation:

You want to know if point (1, 9) becomes point (1, -9) after reflection across the y-axis.

Reflection

The line of reflection is the perpendicular bisector of the segment joining a point with its reflected image.

The attachment shows the two point A(1, 9) and A'(1, -9). The perpendicular bisector of the segment between them is the x-axis.

(1, -9) is NOT the reflection of (1, 9) across the y-axis.

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Additional comment

The point marked B is the reflection of A across the y-axis. Its coordinates are (-1, 9).

Reflection across the y-axis changes the sign of the x-coordinate.

Reflection across the x-axis changes the sign of the y-coordinate.

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Is it true that the image of a point (1,9) under a reflection across the y-axis is-example-1
User Peeja
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