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 points B and C?​

Answer 1

Answer: B(-11,7) C(11,7)

Explanation:

Reflections In The Coordinate Plane

• Reflect over the x-axis:

When we reflect a point over the x-axis, the x-coordinate remains the same, but the y-coordinate is mapped to its opposite.

The reflection of the point (x,y) over the x-axis is the point (x,-y).

• Reflect over the y-axis:

When reflecting a point over the y-axis, the y-coordinate remains the same, but the x-coordinate is mapped to its opposite (its sign is changed).

The reflection of the point (x,y) across the y-axis is the point (-x,y).

Point A is at (-11,-7). When reflected over the x-axis, it maps to Point B located at B(-11,7).

Point B is now reflected over the y-axis and maps to C(11,7).

Answer: B(-11,7) C(11,7)