To determine which quadrant the triangle ΔLOW will be in after being reflected across the y-axis and then across the x-axis, we can analyze the transformations step by step.
-
Reflection across the y-axis:
- When a point (x, y) is reflected across the y-axis, its coordinates change to (-x, y). This means that if the original triangle ΔLOW is in Quadrant I (for example, if it has positive x and y coordinates), after reflection, it will move to Quadrant II (where x is negative and y is positive).
-
Reflection across the x-axis:
- When we reflect a point (x, y) across the x-axis, its coordinates change to (x, -y). Continuing with our example, if the triangle is now in Quadrant II (with negative x and positive y coordinates), after reflecting across the x-axis, the triangle would move to Quadrant III (where x is negative and y is negative).
Therefore, if ΔLOW is reflected first across the y-axis and then across the x-axis, it will end up in Quadrant III.