To find out where ΔLOW will be after reflecting across the y-axis and then the x-axis, we first need to determine the coordinates of the vertices after the reflections.
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Original Points:
- L(-5, -2)
- O(-2, -4)
- W(-4, -6)
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Reflection across the y-axis:
- Reflection across the y-axis changes the sign of the x-coordinate:
- L becomes (5, -2)
- O becomes (2, -4)
- W becomes (4, -6)
- Reflection across the y-axis changes the sign of the x-coordinate:
-
Reflection across the x-axis:
- Reflection across the x-axis changes the sign of the y-coordinate:
- L becomes (5, 2)
- O becomes (2, 4)
- W becomes (4, 6)
- Reflection across the x-axis changes the sign of the y-coordinate:
-
New Points after both reflections:
- L(5, 2)
- O(2, 4)
- W(4, 6)
Now we can determine which quadrant these points lie in:
- All new points have positive x and y coordinates, which means they are located in Quadrant I.
Thus, ΔLOW will be in Quadrant I after both reflections.