Use the image to answer the question.
A coordinate plane shows the x- and y- axes ranging from negative 11 to 11 in increments of 1. The point left parenthesis 5 comma 10 right parenthesis is plotted on the plane.
The point (5, 10) is reflected across the x
-axis. What are the coordinates of the reflected point?
(1 point)
Responses
(−5, 10)
Left Parenthesis negative 5 comma 10 Right Parenthesis
(5, −10)
Left Parenthesis 5 comma negative 10 Right Parenthesis
(10, 5)
Left Parenthesis 10 comma 5 Right Parenthesis
(−5, −10)
The correct answer is: (5, -10).
Reflections of Points Quick Check
2 of 5 2 of 5 Items
A coordinate plane shows the x- and y- axes ranging from negative 11 to 11 in increments of 1. The point left parenthesis 5 comma 10 right parenthesis is plotted on the plane.
Question
Use the image to answer the question.
A coordinate plane shows the x- and y- axes ranging from negative 11 to 11 in increments of 1. The point left parenthesis negative 2 comma negative 9 right parenthesis is plotted on the plane.
The point (−2, −9) is reflected across the y
-axis. What are the coordinates of the reflected point?
(1 point)
Responses
(2, 9)
Left Parenthesis 2 comma 9 Right Parenthesis
(−2, 9)
Left Parenthesis negative 2 comma 9 Right Parenthesis
(−9, −2)
Left Parenthesis negative 9 comma negative 2 Right Parenthesis
(2, −9)
The correct answer is: (2, -9).
To reflect a point across the x-axis, we simply change the sign of the y-coordinate while keeping the x-coordinate the same.
In this case, the original point is (5, 10). To reflect it across the x-axis, we change the sign of the y-coordinate, which gives us (5, -10).
So, the coordinates of the reflected point are (5, -10).