Use the image to answer the question.

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 Y
Point upper Y

Point X
Point upper X

Point W
Point upper W

Point Z

Answer 1

To determine which point of quadrilateral WXYZ ends up in Quadrant I when the figure is reflected across the y-axis, we can reflect each point individually.

The points are as follows:

• Point W: (-2, 1)
• Point X: (-4, -3)
• Point Y: (5, -2)
• Point Z: (6, 6)

When reflecting a point (x, y) across the y-axis, the new coordinates will be (-x, y).

Now let's reflect each point:

• Point W:

  • Original: (-2, 1)
  • Reflected: (2, 1) → This point is in Quadrant I.

• Point X:

  • Original: (-4, -3)
  • Reflected: (4, -3) → This point is in Quadrant IV.

• Point Y:

  • Original: (5, -2)
  • Reflected: (-5, -2) → This point is in Quadrant III.

• Point Z:

  • Original: (6, 6)
  • Reflected: (-6, 6) → This point is in Quadrant II.

From the reflections, we can see that Point W (reflecting to (2, 1)) is the only point that ends up in Quadrant I after the reflection across the y-axis.

Thus, the answer is:

Point W