a four-sided figure W X Y Z is shown on the coordinate plane. The figure is then reflected across the y-axis. which point of the figure above will end up in Quadrant 1?
point W
point X
point Z
point Y
If a figure is reflected across the y-axis, the x-coordinate of each point will change its sign.
Therefore, if the points are:
W (x coordinate, y coordinate)
X (x coordinate, y coordinate)
Y (x coordinate, y coordinate)
Z (x coordinate, y coordinate)
After reflecting across the y-axis, the new coordinates will be:
W (-x coordinate, y coordinate)
X (-x coordinate, y coordinate)
Y (-x coordinate, y coordinate)
Z (-x coordinate, y coordinate)
Quadrant 1 is where the x coordinate is positive and the y coordinate is positive.
Since after reflecting, W will have a negative x coordinate and a positive y coordinate, it will not end up in Quadrant 1.
Since after reflecting, X will have a negative x coordinate and a positive y coordinate, it will not end up in Quadrant 1.
Since after reflecting, Y will have a positive x coordinate and a positive y coordinate, it will end up in Quadrant 1.
Since after reflecting, Z will have a positive x coordinate and a positive y coordinate, it will end up in Quadrant 1.
Therefore, the point that will end up in Quadrant 1 after being reflected across the y-axis is point Y.