Questions: 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 points B and C? Point B: (11,-7) Point B: (-11,7) Point B: (11,-7) Point B: (-11,7) Point C: (-11,7) Point C: (11,-7) Point C: (11,7) Point C: (11,7)

Solution Steps

To reflect a point over the \( x \)-axis, the \( x \)-coordinate remains the same, and the \( y \)-coordinate changes sign.
Given point \( A = (-11, -7) \), the reflection over the \( x \)-axis is:
\[ B = (-11, 7) \]

To reflect a point over the \( y \)-axis, the \( y \)-coordinate remains the same, and the \( x \)-coordinate changes sign.
Given point \( B = (-11, 7) \), the reflection over the \( y \)-axis is:
\[ C = (11, 7) \]

From the calculations:

• Point \( B \) is \( (-11, 7) \).
• Point \( C \) is \( (11, 7) \).

These match the correct options provided in the question.

Final Answer