Question

Point A, located at (-11,-7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected over the y-axis to form point C. What are the coordinates of B and C?

A. Point B: (-11, 7) and Point C: (11, 7)
B. Point B: (-11, -7) and Point C: (11, 7)
C. Point B: (11, -7) and Point C: (11, 7)
D. Point B: (-11, 7) and Point C: (11, -7)

Answer 1

After reflecting point A over the x-axis and then over the y-axis, the coordinates of point B are (-11, 7) and point C are (11, 7), making option A the correct answer.

Step-by-step explanation:

To find the coordinates of point B, we reflect point A over the x-axis. Reflecting a point over the x-axis changes the sign of the y-coordinate while keeping the x-coordinate the same. Hence, the coordinates of B are (-11, 7).

Next, point B is reflected over the y-axis to find point C. Reflecting a point over the y-axis changes the sign of the x-coordinate while keeping the y-coordinate the same. Therefore, the coordinates of point C are (11, 7).

This means that the correct answer is A. Point B: (-11, 7) and Point C: (11, 7).