Question

Describe the change that occurs to the coordinates of a vertex of a figure when it is reflected across the y-axis. A. The sign of the x-coordinate changes; the y-coordinate stays the same. B. The x-coordinate stays the same; the sign of the y-coordinate changes. C. Both coordinates stay the same. D. The sign of each coordinate changes. .

Answer 1

Answer: The correct option is

(A) The sign of the x-coordinate changes; the y-coordinate stays the same.

Step-by-step explanation: We are given to describe the change that occurs to the coordinates of a vertex of a figure when it is reflected across the y-axis.

We know that

if a point (x, y) is reflected the Y-axis, then its x co-ordinate will change sign. The y co-ordinate remains the same.

That is,

After reflection across the Y-axis, the co-ordinates (x, y) changes to (-x, y).

For example, the point (4, 2) and its reflection across the Y-axis is shown in the attached figure below. Its image after the reflection is (-4, 2).

Therefore, the correct description is

The sign of the x-coordinate changes; the y-coordinate stays the same.

Thus, (A) is the correct option.

Answer 2

To describe the change that occurs to the coordinates of a vertex of a figure when it is reflected across the y-axis, the sign of the x-coordinate changes; the y-coordinate stays the same. The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query about and it will be able to help you.