To find the image of point O(-2,-1) after a reflection across the line y=-4, we need to calculate the distance between the point and the line, and then determine the point after the reflection.
The distance between the point O(-2,-1) and the line y=-4 is 3 units (from -1 to -4).
The point (-2,-1) reflected across the line y=-4 becomes (-2,-7).
Now, to find the image of (-2,-7) after a reflection across the line x=1, we calculate the distance between the point and the line, and then determine the point after the reflection.
The distance between the point (-2,-7) and the line x=1 is 3 units (from -2 to 1).
The point (-2,-7) reflected across the line x=1 becomes (4,-7).
Therefore, the correct answer is B: (4,-7).
Find the image of O(-2,-1) after two reflections, first across the line y=-4 and then across the line x=1
A: (4,-9)
B: (4,-7)
C: (-2,-7)
D: (-2,-9)
1 answer