Question Video: Determining the Coordinates of a Point after Its Reflection over the š„-Axis Mathematics • 8th Grade

Scarlett and Mason are trying to find the coordinates of the image of (4, 9) after a reflection over the š„-axis. Scarlettās answer was (4, ā9), while Masonās answer was (ā4, 9). Which of them is correct?

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Video Transcript

Scarlet and Mason are trying to find the coordinates of the image four, nine after a reflection over the š„-axis. Scarletās answer was four, negative nine while Masonās answer was negative four, nine. Which of them is correct?

Hereās what we know about coordinates. We have our š„-axis and our š¦-axis. Quadrant one represents positive, positive. Quadrant two has coordinates with a negative š„ and a positive š¦. In quadrant three, both the š„- and š¦-axis values are negative. And in quadrant four, we have a positive š„ value and a negative š¦ value.

Our image is a positive and a positive and would fall in the first quadrant. If this image is reflected over the š„-axis, it will be reflected down into the fourth quadrant. It would be positive four, negative nine. And that is reflected in Scarletās answer.

Scarlet answered correctly by saying that the reflected image would be located at four, negative nine.