Which choice shows the image of quadrilateral WXYZ after a reflection over the x-axis followed by a translation to the right of 2 units?
A)
B)
C)
Which choice shows the image of quadrilateral WXYZ after a reflection over the x-axis followed by a translation to the right of 2 units?
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To determine the correct answer, we first need to reflect quadrilateral WXYZ over the x-axis. When you reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).
After the reflection, we then translate the resulting figure 2 units to the right. This means we would add 2 to the x-coordinates of all points.
1. Reflection over the x-axis:
– W(x1, y1) becomes W'(x1, -y1)
– X(x2, y2) becomes X'(x2, -y2)
– Y(x3, y3) becomes Y'(x3, -y3)
– Z(x4, y4) becomes Z'(x4, -y4)
2. Translation 2 units to the right:
– W'(x1 + 2, -y1)
– X'(x2 + 2, -y2)
– Y'(x3 + 2, -y3)
– Z'(x4 + 2, -y4)
Now you would compare the options A, B, and C to see which one represents the coordinates after these transformations. Please check the images of the options to identify the one that matches.
If you need any further explanation on how to perform the transformations or anything else, feel free to ask! If you want, you can also check the