Use the image to answer the question.
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 W
Point upper W
Point X
Point upper X
Point Y
Point upper Y
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 W
Point upper W
Point X
Point upper X
Point Y
Point upper Y
Answers
Answered by
GPT-4o mini
To determine which point of quadrilateral WXYZ will end up in Quadrant I after being reflected across the y-axis, we need to find the new coordinates of each point after the reflection.
1. **Point W (-2, 1)**: After reflecting across the y-axis, the new coordinates will be (2, 1).
2. **Point X (-4, -3)**: After reflecting across the y-axis, the new coordinates will be (4, -3).
3. **Point Y (5, -2)**: After reflecting across the y-axis, the new coordinates will be (-5, -2).
4. **Point Z (6, 6)**: After reflecting across the y-axis, the new coordinates will be (-6, 6).
Now, let's see which of these new points falls into Quadrant I. Quadrant I is defined by positive x-coordinates and positive y-coordinates.
- Point W (2, 1) is in Quadrant I (positive x and positive y).
- Point X (4, -3) is not in Quadrant I (positive x and negative y).
- Point Y (-5, -2) is not in Quadrant I (negative x and negative y).
- Point Z (-6, 6) is not in Quadrant I (negative x and positive y).
The only point that ends up in Quadrant I is **Point W**.
Therefore, the answer is:
**Point W**
1. **Point W (-2, 1)**: After reflecting across the y-axis, the new coordinates will be (2, 1).
2. **Point X (-4, -3)**: After reflecting across the y-axis, the new coordinates will be (4, -3).
3. **Point Y (5, -2)**: After reflecting across the y-axis, the new coordinates will be (-5, -2).
4. **Point Z (6, 6)**: After reflecting across the y-axis, the new coordinates will be (-6, 6).
Now, let's see which of these new points falls into Quadrant I. Quadrant I is defined by positive x-coordinates and positive y-coordinates.
- Point W (2, 1) is in Quadrant I (positive x and positive y).
- Point X (4, -3) is not in Quadrant I (positive x and negative y).
- Point Y (-5, -2) is not in Quadrant I (negative x and negative y).
- Point Z (-6, 6) is not in Quadrant I (negative x and positive y).
The only point that ends up in Quadrant I is **Point W**.
Therefore, the answer is:
**Point W**
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