Question

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An illustration shows a coordinate plane. The x-axis and the y-axis range from negative 6 to 6 in one unit increments. Four points are plotted. The points are connected to form a quadrilateral. Point W is plotted at the coordinates left parenthesis negative 2 comma 1 right parenthesis, Point X is plotted at left parenthesis negative 4 comma negative 3 right parenthesis, point Y is plotted at left parenthesis 5 comma negative 2 right parenthesis, and point Z is plotted at left parenthesis 6 comma 6 right parenthesis. Points W and X, points X and Y, points Y and Z, and points Z and W are connected by line segments to form quadrilateral W X Y Z.

A four-sided figure WXYZ
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 I?

(1 point)
Responses

Point Z
Point upper Z

Point Y
Point upper Y

Point W
Point upper W

Point X

Answer 1

To determine which point of quadrilateral WXYZ ends up in Quadrant I after reflecting across the y-axis, we first need to find the coordinates of each point after the reflection.

1. **Point W (-2, 1)**:
- After reflection: \( (2, 1) \)

2. **Point X (-4, -3)**:
- After reflection: \( (4, -3) \)

3. **Point Y (5, -2)**:
- After reflection: \( (-5, -2) \)

4. **Point Z (6, 6)**:
- After reflection: \( (-6, 6) \)

Now, we will analyze the new coordinates:

- Point W (2, 1) is in Quadrant I (both x and y are positive).
- Point X (4, -3) is in Quadrant IV (positive x, negative y).
- Point Y (-5, -2) is in Quadrant III (both x and y are negative).
- Point Z (-6, 6) is in Quadrant II (negative x, positive y).

Thus, the only point that will end up in Quadrant I after reflection is:

**Point W**.