Question

Complete the reflection over the x-axis followed by y-axis a(-4,-1) b(-3,-3)

a. (-4,1), (3,3)
b. (4,1), (3,3)
c. (4,-1), (3,-3)
d. (-4,1), (-3,-3)

Answer 1

After reflecting point A(-4,-1) over the x-axis and then the y-axis, we get A''(4,1). Similarly, reflecting point B(-3,-3) over the x-axis and then the y-axis, we obtain B''(3,3). So, the correct answer is a. (4,1), (3,3).

Step-by-step explanation:

The question asks to complete the reflection over the x-axis followed by reflection over the y-axis for points A(-4,-1) and B(-3,-3). To reflect a point over the x-axis, you invert the y-coordinate. So, reflecting A over the x-axis gives us A'(-4,1), and reflecting B over the x-axis gives us B'(-3,3).

Next, we have to reflect these new points over the y-axis, which means inverting the x-coordinate. Therefore, reflecting A' over the y-axis gives us A''(4,1), and reflecting B' over the y-axis gives us B''(3,3).

So, the correct option after completing both reflections is a. (4,1), (3,3).